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

analyze386.0ms (1.8%)

Memory

18.2MiB live, 515.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample9.3s (42.9%)

Memory

43.5MiB live, 6 081.4MiB allocated

Samples

3.5s	3 815×	0	valid
3.2s	4 441×	1	valid
1.3s	1 164×	5	exit
224.0ms	684×	1	invalid
174.0ms	363×	4	exit
154.0ms	1 780×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 6.6s

ival-log: 2.5s (37.2% of total)

ival-exp: 1.7s (25.8% of total)

ival-add: 1.2s (18.5% of total)

adjust: 483.0ms (7.3% of total)

ival-sub: 331.0ms (5% of total)

ival-div: 238.0ms (3.6% of total)

ival-mult: 144.0ms (2.2% of total)

exact: 12.0ms (0.2% of total)

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

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

Bogosity

preprocess271.0ms (1.3%)

Memory

32.8MiB live, 105.8MiB allocated

Algorithm

2×	egg-herbie

Rules

876×	`sub-neg`
644×	`unsub-neg`
626×	`distribute-lft-neg-in`
626×	`times-frac`
596×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	207
1	150	199
2	393	197
3	986	197
4	2700	197
5	4823	197
6	5510	197
7	5766	197
8	5969	197
9	6102	197
10	6174	197
11	6626	197
12	6770	197
13	6782	197
14	6792	197
15	6792	197
16	6792	197
17	6792	197
0	12	13
1	22	13
2	47	13
3	86	13
4	181	13
5	345	13
6	512	13
7	577	13
8	644	13
9	696	13
10	824	13
11	893	13
12	900	13
13	901	13
0	901	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- x (/ (log (+ (- 1 (neg y)) (* (neg y) (exp z)))) t))
(- x (/ (log (- (+ 1 y) (* y (exp z)))) t))
(- x (/ (log (+ (- 1 y) (* y (exp (neg z))))) t))
(- x (/ (log (+ 1 (- (/ y (exp z)) y))) t))
(- x (/ (log (+ (- 1 y) (* y (exp z)))) (neg t)))
(+ x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(neg (- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t)))
(+ x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(neg (- x (/ (log (+ (- 1 (neg y)) (* (neg y) (exp z)))) t)))
(- (/ (log (- (+ 1 y) (* y (exp z)))) t) x)
(neg (- x (/ (log (+ (- 1 y) (* y (exp (neg z))))) t)))
(- (/ (log (+ 1 (- (/ y (exp z)) y))) t) x)
(neg (- x (/ (log (+ (- 1 y) (* y (exp z)))) (neg t))))
(- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- y (/ (log (+ (- 1 x) (* x (exp z)))) t))
(- z (/ (log (+ (- 1 y) (* y (exp x)))) t))
(- t (/ (log (+ (- 1 y) (* y (exp z)))) x))
(- x (/ (log (+ (- 1 z) (* z (exp y)))) t))
(- x (/ (log (+ 1 (* z (+ (exp y) -1)))) t))
(- x (/ (log (+ (- 1 t) (* t (exp z)))) y))
(- x (/ (log (+ (- 1 t) (* (exp z) t))) y))
(- x (/ (log (+ (- 1 y) (* y (exp t)))) z))
(- x (/ (log (+ 1 (* y (+ -1 (exp t))))) z))

explain322.0ms (1.5%)

Memory

-10.8MiB live, 514.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
161	30	(5.441253717414345e+214 -4.360668039982882e-79 2.02183097259158e-250 3.891503728290749e-146)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
74	3	(-5.450423885442843e-168 20373074.915012527 -1.4833223498187395e-222 -3.825966132449677e-212)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
17	0	-	2	(1.2482876579806867e-198 4.0111084140052043e-255 2.8950853483639625e-69 3.387708807560725e-237)	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	0	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	0	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`z`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y (exp.f64 z))`
0	0	-	0	-	`x`
0	0	-	0	-	`(exp.f64 z)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	sensitivity	191	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	35	0

Confusion

	Predicted +	Predicted -
+	96	10
-	109	41

Precision

0.4682926829268293

Recall

0.9056603773584906

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	96	0	10
-	109	0	41

Precision?

0.4682926829268293

Recall?

0.9056603773584906

Freqs

test

number	freq
0	51
1	184
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

119.0ms	332×	1	valid
45.0ms	92×	2	valid
8.0ms	88×	0	valid

Compiler

Compiled 148 to 52 computations (64.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-log: 65.0ms (46.3% of total)

ival-exp: 37.0ms (26.4% of total)

ival-sub: 10.0ms (7.1% of total)

adjust: 9.0ms (6.4% of total)

ival-div: 8.0ms (5.7% of total)

ival-mult: 6.0ms (4.3% of total)

ival-add: 5.0ms (3.6% of total)

exact: 1.0ms (0.7% of total)

ival-true: 1.0ms (0.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.9%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify67.0ms (0.3%)

Memory

-11.2MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
✓	cost-diff	0	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
✓	cost-diff	0	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
✓	cost-diff	384	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Rules

544×	`accelerator-lowering-fma.f32`
544×	`accelerator-lowering-fma.f64`
272×	`-lowering-.f32`
272×	`-lowering-.f64`
176×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	22	55
2	47	55
3	86	55
4	181	55
5	345	55
6	512	55
7	577	55
8	644	55
9	696	55
10	824	55
11	893	55
12	900	55
13	901	55
0	901	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
x
(/ (log (+ (- 1 y) (* y (exp z)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(log (+ (- 1 y) (* y (exp z))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(+ (- 1 y) (* y (exp z)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* y (exp z))
(fma.f64 y (exp.f64 z) #s(literal 0 binary64))
(exp z)
(exp.f64 z)
z
t

localize103.0ms (0.5%)

Memory

3.0MiB live, 157.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (exp.f64 z))
✓	accuracy	93.7%	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
✓	accuracy	73.1%	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
✓	accuracy	43.3%	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

58.0ms	166×	1	valid
24.0ms	46×	2	valid
4.0ms	44×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-log: 30.0ms (45% of total)

ival-exp: 16.0ms (24% of total)

ival-sub: 5.0ms (7.5% of total)

adjust: 5.0ms (7.5% of total)

ival-div: 4.0ms (6% of total)

ival-mult: 3.0ms (4.5% of total)

ival-add: 2.0ms (3% of total)

exact: 0.0ms (0% of total)

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

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

series101.0ms (0.5%)

Memory

-5.4MiB live, 188.8MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+ (- 1 y) (* y (exp z)))>
#<alt (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))>
#<alt (/ (log (+ (- 1 y) (* y (exp z)))) t)>
#<alt (log (+ (- 1 y) (* y (exp z))))>
#<alt (* y (exp z))>

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

Calls

39 calls:

Time	Variable		Point	Expression
27.0ms	z	@	inf	(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
24.0ms	z	@	-inf	(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
18.0ms	t	@	0	(/ (log (+ (- 1 y) (* y (exp z)))) t)
8.0ms	t	@	inf	(/ (log (+ (- 1 y) (* y (exp z)))) t)
6.0ms	x	@	0	(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))

rewrite669.0ms (3.1%)

Memory

-32.2MiB live, 609.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 580×	`accelerator-lowering-fma.f32`
6 580×	`accelerator-lowering-fma.f64`
4 130×	`-lowering-.f32`
4 130×	`-lowering-.f64`
3 042×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	66	45
2	586	45
3	7177	45
0	8957	38

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 287

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(+.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 #s(literal 0 binary64) (exp.f64 z))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 y (exp.f64 z))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (.f64 y (exp.f64 z))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(-.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 3 binary64)) (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) #s(literal 0 binary64)) y)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal -1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z)))
(fma.f64 #s(literal -1 binary64) y (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (*.f64 y (exp.f64 z)))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (.f64 y (exp.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y (exp.f64 z)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (.f64 y (exp.f64 z)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z)))
(fma.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (neg.f64 (.f64 y (exp.f64 (+.f64 z z)))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (exp.f64 (.f64 z #s(literal 3 binary64)))))) (fma.f64 (.f64 y (exp.f64 z)) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (.f64 y (.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (fma.f64 (fma.f64 y y y) (.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 y (.f64 y y) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z)))
(neg.f64 (/.f64 (fma.f64 y (.f64 (.f64 y y) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y (exp.f64 (+.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (fma.f64 y (neg.f64 (.f64 y (exp.f64 (+.f64 z z)))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 (.f64 y y) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (.f64 y (exp.f64 (+.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 (.f64 y (exp.f64 (+.f64 z z)))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (.f64 y (exp.f64 (+.f64 z z))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 y (.f64 (.f64 y y) (exp.f64 (.f64 z #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (.f64 y (exp.f64 (+.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 y (neg.f64 (.f64 y (exp.f64 (+.f64 z z)))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
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simplify583.0ms (2.7%)

Memory

8.7MiB live, 883.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 880×	`accelerator-lowering-fma.f32`
15 880×	`accelerator-lowering-fma.f64`
6 656×	`+-lowering-+.f64`
6 656×	`+-lowering-+.f32`
5 266×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	2380
1	1012	2276
2	3170	2227
0	8227	1752

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
1
#s(literal 1 binary64)
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(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
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(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 y (expm1.f64 z))
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(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
1
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x
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(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(.f64 z (fma.f64 z (.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (/.f64 #s(literal 1/6 binary64) t)) (.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) t))) (/.f64 y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) t) (/.f64 (.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64))) t)) (.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) t))) (/.f64 y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(.f64 y (fma.f64 y (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64))) (expm1.f64 z)))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(.f64 y (fma.f64 y (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64)) (.f64 (.f64 y (*.f64 y #s(literal -1/4 binary64))) (pow.f64 (expm1.f64 z) #s(literal 4 binary64)))) (expm1.f64 z)))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 z))) (+.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) (/.f64 #s(literal -1/2 binary64) (.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (expm1.f64 z))) (+.f64 (+.f64 (log.f64 y) (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (.f64 y (.f64 y y))))) (/.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(-.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))))) y))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(-.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))))) y))
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(.f64 z (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 z (fma.f64 z (fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (.f64 (fma.f64 (.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
y
(+ y (* y z))
(fma.f64 y z y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))

eval61.0ms (0.3%)

Memory: 2.3MiB live, 154.7MiB allocated
Compiler: Compiled 14 579 to 1 569 computations (89.2% saved)

prune117.0ms (0.5%)

Memory

-0.9MiB live, 161.0MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	426	17	443
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	427	17	444

Accuracy

99.8%

Counts

444 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	(fma.f64 z (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
▶	71.7%	(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
	58.4%	(fma.f64 x (/.f64 x (+.f64 x (/.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) t))) (neg.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 x (/.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) t)) (.f64 t t)))))
	16.2%	(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t))
	12.5%	(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
	55.9%	(-.f64 x (/.f64 (.f64 z (fma.f64 (.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
▶	48.2%	(-.f64 x (/.f64 (.f64 z (fma.f64 z (fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y)) t))
▶	77.7%	(-.f64 x (/.f64 (.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
▶	81.1%	(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
	67.4%	(-.f64 x (/.f64 (*.f64 y z) t))
	60.1%	(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
	67.2%	(-.f64 x (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t))
	45.7%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))) t))
	38.7%	(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
	78.7%	(-.f64 x (.f64 y (fma.f64 (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (expm1.f64 z) t))))
	76.8%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 t x))))
▶	69.0%	x

Compiler

Compiled 630 to 396 computations (37.1% saved)

simplify426.0ms (2%)

Memory

26.1MiB live, 778.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (fma.f64 (.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))
✓	cost-diff	0	(.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)))
✓	cost-diff	0	(/.f64 (.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t)
✓	cost-diff	192	(-.f64 x (/.f64 (.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
✓	cost-diff	0	(/.f64 (exp.f64 z) t)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) t)
✓	cost-diff	64	(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
✓	cost-diff	704	(-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))
✓	cost-diff	0	(.f64 z (fma.f64 z (fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y))
✓	cost-diff	0	(/.f64 (.f64 z (fma.f64 z (fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y)) t)
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	320	(fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	cost-diff	0	(expm1.f64 z)
✓	cost-diff	0	(*.f64 y (expm1.f64 z))
✓	cost-diff	0	(/.f64 (*.f64 y (expm1.f64 z)) t)
✓	cost-diff	0	(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))

Rules

11 118×	`accelerator-lowering-fma.f32`
11 118×	`accelerator-lowering-fma.f64`
3 532×	`-lowering-.f32`
3 532×	`-lowering-.f64`
3 160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	359
1	118	359
2	396	358
3	1367	358
4	4167	347
0	8160	280

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize251.0ms (1.2%)

Memory

-11.7MiB live, 454.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 (.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
✓	accuracy	99.9%	(.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)))
✓	accuracy	99.9%	(.f64 (fma.f64 (.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))
✓	accuracy	90.0%	(/.f64 (.f64 y (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t)
✓	accuracy	100.0%	(exp.f64 z)
✓	accuracy	100.0%	(/.f64 (exp.f64 z) t)
✓	accuracy	98.8%	(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
✓	accuracy	52.2%	(-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))
✓	accuracy	98.5%	(.f64 z (fma.f64 z (fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y))
✓	accuracy	94.7%	(fma.f64 z (fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y)))) y)
✓	accuracy	90.1%	(/.f64 (.f64 z (fma.f64 z (fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y)) t)
✓	accuracy	78.5%	(fma.f64 z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (.f64 y (-.f64 #s(literal 1 binary64) y))))
✓	accuracy	100.0%	(*.f64 y (expm1.f64 z))
✓	accuracy	100.0%	(expm1.f64 z)
✓	accuracy	100.0%	(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
✓	accuracy	93.7%	(/.f64 (*.f64 y (expm1.f64 z)) t)

Samples

113.0ms	138×	1	valid
28.0ms	97×	0	valid
16.0ms	21×	2	valid

Compiler

Compiled 305 to 45 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 39.0ms (31.9% of total)

ival-div: 28.0ms (22.9% of total)

ival-exp: 14.0ms (11.5% of total)

ival-sub: 12.0ms (9.8% of total)

ival-add: 12.0ms (9.8% of total)

adjust: 9.0ms (7.4% of total)

const: 4.0ms (3.3% of total)

ival-expm1: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series95.0ms (0.4%)

Memory

-21.1MiB live, 115.8MiB allocated

Counts

18 → 492

Calls

Call 1

Inputs
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (exp z) 1))>
#<alt (- (exp z) 1)>
#<alt (+ (* z (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y))) (* 1/2 (* y (- 1 y))))>
#<alt (* 1/2 (* y (- 1 y)))>
#<alt (/ (* z (+ (* z (+ (* z (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y))) (* 1/2 (* y (- 1 y))))) y)) t)>
#<alt (* z (+ (* z (+ (* z (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y))) (* 1/2 (* y (- 1 y))))) y))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (+ (* y (- (/ 1 t) (/ (exp z) t))) x)>
#<alt (/ 1 t)>
#<alt (/ (exp z) t)>
#<alt (- x (/ (* y (* (+ (* (* y -1/2) (- (exp z) 1)) 1) (- (exp z) 1))) t))>
#<alt (/ (* y (* (+ (* (* y -1/2) (- (exp z) 1)) 1) (- (exp z) 1))) t)>
#<alt (* y (* (+ (* (* y -1/2) (- (exp z) 1)) 1) (- (exp z) 1)))>
#<alt (* (+ (* (* y -1/2) (- (exp z) 1)) 1) (- (exp z) 1))>
#<alt (+ (* z (+ (* z (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y))) (* 1/2 (* y (- 1 y))))) y)>
#<alt (exp z)>

Outputs
#<alt (* -1 (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* -1 (/ (* y (- (exp z) 1)) t))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* y z) t)) (/ y t))))>
#<alt (+ x (* z (- (* z (- (* -1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (* -1 (/ (* y (- (exp z) 1)) t))>
#<alt (/ (- (* t x) (* y (- (exp z) 1))) t)>
#<alt (/ (- (* t x) (* y (- (exp z) 1))) t)>
#<alt (/ (- (* t x) (* y (- (exp z) 1))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* y z))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))>
#<alt (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt z>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (* 1/2 (* y (- 1 y)))>
#<alt (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (* y (- 1 y))))>
#<alt (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (* y (- 1 y))))>
#<alt (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (* y (- 1 y))))>
#<alt (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (* y (- 1 y)) z))))>
#<alt (* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (* y (- 1 y)) z))))>
#<alt (* z (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (* y (- 1 y)) z))))>
#<alt (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (* y (- 1 y)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (* y (- 1 y)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))>
#<alt (* -1 (* z (+ (* -1/2 (/ (* y (- 1 y)) z)) (* -1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))))))>
#<alt (* y (+ 1/2 (* 1/6 z)))>
#<alt (* y (+ 1/2 (+ (* 1/6 z) (* y (- (* -1/2 z) 1/2)))))>
#<alt (* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2)))))>
#<alt (* y (+ 1/2 (+ (* 1/6 z) (* y (- (+ (* -1/2 z) (* 1/3 (* y z))) 1/2)))))>
#<alt (* 1/3 (* (pow y 3) z))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (* 1/3 z)) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (* 1/6 (/ z (pow y 2))) (+ (* 1/3 z) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (* 1/6 (/ z (pow y 2))) (+ (* 1/3 z) (/ 1/2 (pow y 2))))) (* 1/2 (/ 1 y))))>
#<alt (* 1/3 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1/2 z) 1/2) y)) (* -1/3 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 z) 1/2) y)) (* -1/2 z)) 1/2) y)) (* -1/3 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 z) 1/2) y)) (* -1/2 z)) 1/2) y)) (* -1/3 z))))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* -1/2 y)))>
#<alt (* y (+ 1/2 (* -1/2 y)))>
#<alt (* y (+ 1/2 (* -1/2 y)))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* y (* z (- 1 y))) t)) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/6 (/ (* z (+ y (* (pow y 2) (- (* 2 y) 3)))) t)) (* 1/2 (/ (* y (- 1 y)) t)))) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/6 (/ (* z (+ y (* (pow y 2) (- (* 2 y) 3)))) t)) (* 1/2 (/ (* y (- 1 y)) t)))) (/ y t)))>
#<alt (* 1/6 (/ (* (pow z 3) (+ y (* (pow y 2) (- (* 2 y) 3)))) t))>
#<alt (* (pow z 3) (+ (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) t)) (* 1/2 (/ (* y (- 1 y)) (* t z)))))>
#<alt (* (pow z 3) (+ (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) t)) (+ (* 1/2 (/ (* y (- 1 y)) (* t z))) (/ y (* t (pow z 2))))))>
#<alt (* (pow z 3) (+ (* 1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) t)) (+ (* 1/2 (/ (* y (- 1 y)) (* t z))) (/ y (* t (pow z 2))))))>
#<alt (* 1/6 (/ (* (pow z 3) (+ y (* (pow y 2) (- (* 2 y) 3)))) t))>
#<alt (* -1 (* (pow z 3) (+ (* -1/2 (/ (* y (- 1 y)) (* t z))) (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) t)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z))) z)) (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) t)))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z))) z)) (* -1/6 (/ (+ y (* (pow y 2) (- (* 2 y) 3))) t)))))>
#<alt (/ (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) t)>
#<alt (* y (+ (/ (* y (* (pow z 2) (- (* -1/2 z) 1/2))) t) (/ (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) t)))>
#<alt (* y (+ (* y (+ (* 1/3 (/ (* y (pow z 3)) t)) (/ (* (pow z 2) (- (* -1/2 z) 1/2)) t))) (/ (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) t)))>
#<alt (* y (+ (* y (+ (* 1/3 (/ (* y (pow z 3)) t)) (/ (* (pow z 2) (- (* -1/2 z) 1/2)) t))) (/ (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) t)))>
#<alt (* 1/3 (/ (* (pow y 3) (pow z 3)) t))>
#<alt (* (pow y 3) (+ (* 1/3 (/ (pow z 3) t)) (/ (* (pow z 2) (- (* -1/2 z) 1/2)) (* t y))))>
#<alt (* (pow y 3) (+ (* 1/3 (/ (pow z 3) t)) (+ (/ (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) (* t (pow y 2))) (/ (* (pow z 2) (- (* -1/2 z) 1/2)) (* t y)))))>
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#<alt (* -1/2 (* y (pow (- (exp z) 1) 2)))>
#<alt (* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))>
#<alt (* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))>
#<alt (* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))>
#<alt (* -1/2 (* y (pow (- (exp z) 1) 2)))>
#<alt (* -1 (* y (+ (* -1 (/ (- (exp z) 1) y)) (* 1/2 (pow (- (exp z) 1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (exp z) 1) y)) (* 1/2 (pow (- (exp z) 1) 2)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (exp z) 1) y)) (* 1/2 (pow (- (exp z) 1) 2)))))>
#<alt z>
#<alt (* z (+ 1 (* z (+ 1/2 (* -1/2 y)))))>
#<alt (* z (+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* -1/2 y))))))))>
#<alt (* z (+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (+ (* -1/2 y) (* z (+ 1/24 (+ (* -1/6 y) (* -1/8 y))))))))))))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))>
#<alt y>
#<alt (+ y (* 1/2 (* y (* z (- 1 y)))))>
#<alt (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (* y (- 1 y))))))>
#<alt (+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (* y (- 1 y))))))>
#<alt (* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (* y (- 1 y)) z))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (* y (- 1 y)) z)) (/ y (pow z 2)))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (* y (- 1 y)) z)) (/ y (pow z 2)))))>
#<alt (* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))>
#<alt (* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (* y (- 1 y)) z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (* y (- 1 y)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (* y (- 1 y)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))>
#<alt (* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* 1/3 (* (pow y 3) (pow z 2)))>
#<alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))>
#<alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))>
#<alt (* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))>
#<alt (* 1/3 (* (pow y 3) (pow z 2)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>

Calls

123 calls:

Time	Variable		Point	Expression
27.0ms	z	@	0	(+ (* y (- (/ 1 t) (/ (exp z) t))) x)
18.0ms	z	@	inf	(/ (* y (- (exp z) 1)) t)
2.0ms	t	@	0	(/ (* z (+ (* z (+ (* z (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y))) (* 1/2 (* y (- 1 y))))) y)) t)
1.0ms	y	@	-inf	(+ (* z (* 1/6 (+ (* (* y y) (+ (* y 2) -3)) y))) (* 1/2 (* y (- 1 y))))
1.0ms	z	@	inf	(- x (/ (* y (* (+ (* (* y -1/2) (- (exp z) 1)) 1) (- (exp z) 1))) t))

rewrite450.0ms (2.1%)

Memory

27.9MiB live, 679.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 250×	`-lowering-.f32`
5 250×	`-lowering-.f64`
4 006×	`/-lowering-/.f32`
4 006×	`/-lowering-/.f64`
3 970×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	242
1	271	242
2	2632	242
0	8555	198

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 432

Calls

Call 1

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

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

simplify506.0ms (2.3%)

Memory

2.3MiB live, 949.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 394×	`accelerator-lowering-fma.f32`
9 394×	`accelerator-lowering-fma.f64`
7 440×	`-lowering-.f32`
7 440×	`-lowering-.f64`
2 964×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	7207
1	1997	7102
2	6929	7084
0	8062	5889

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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(* z (+ y (* y (* z (+ 1/2 (* -1/2 y))))))
(.f64 z (.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y))
(* z (+ y (* z (+ (* y (* z (+ 1/6 (* -1/2 y)))) (* y (+ 1/2 (* -1/2 y)))))))
(.f64 z (fma.f64 y (.f64 z (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) y))
(* z (+ y (* z (+ (* y (+ 1/2 (* -1/2 y))) (* z (+ (* y (* z (+ 1/24 (+ (* -1/6 y) (* -1/8 y))))) (* y (+ 1/6 (* -1/2 y)))))))))
(.f64 z (fma.f64 z (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (*.f64 y z) (fma.f64 z (fma.f64 y #s(literal -7/24 binary64) #s(literal 1/24 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/6 binary64))))) y))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(* y (* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1)))
(.f64 (expm1.f64 z) (.f64 y (fma.f64 (expm1.f64 z) (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(- (exp z) 1)
(expm1.f64 z)
(- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z))
(- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z))
(- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z))
(* -1/2 (* y (pow (- (exp z) 1) 2)))
(.f64 (.f64 y #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))
(* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 (expm1.f64 z) y)))
(* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 (expm1.f64 z) y)))
(* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 (expm1.f64 z) y)))
(* -1/2 (* y (pow (- (exp z) 1) 2)))
(.f64 (.f64 y #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))
(* -1 (* y (+ (* -1 (/ (- (exp z) 1) y)) (* 1/2 (pow (- (exp z) 1) 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (/ (- (exp z) 1) y)) (* 1/2 (pow (- (exp z) 1) 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (+ (* -1 (/ (- (exp z) 1) y)) (* 1/2 (pow (- (exp z) 1) 2)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) y))) (-.f64 #s(literal 0 binary64) y))
z
(* z (+ 1 (* z (+ 1/2 (* -1/2 y)))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* z (+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* -1/2 y))))))))
(*.f64 z (fma.f64 z (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* z (+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (+ (* -1/2 y) (* z (+ 1/24 (+ (* -1/6 y) (* -1/8 y))))))))))))
(*.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) (fma.f64 z (fma.f64 z (fma.f64 y #s(literal -7/24 binary64) #s(literal 1/24 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (+ 1 (* -1/2 (* y (- (exp z) 1)))) (- (exp z) 1))
(.f64 (expm1.f64 z) (fma.f64 (expm1.f64 z) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
y
(+ y (* 1/2 (* y (* z (- 1 y)))))
(fma.f64 z (.f64 y (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y))) y)
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (* y (- 1 y))))))
(fma.f64 z (fma.f64 (.f64 z #s(literal 1/6 binary64)) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (.f64 y (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y)))) y)
(+ y (* z (+ (* 1/6 (* z (+ y (* (pow y 2) (- (* 2 y) 3))))) (* 1/2 (* y (- 1 y))))))
(fma.f64 z (fma.f64 (.f64 z #s(literal 1/6 binary64)) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (.f64 y (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y)))) y)
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (.f64 z (.f64 z #s(literal 1/6 binary64))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (* y (- 1 y)) z))))
(.f64 z (.f64 z (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y))) z))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (* y (- 1 y)) z)) (/ y (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 y (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 y (*.f64 z z)))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (+ (* 1/2 (/ (* y (- 1 y)) z)) (/ y (pow z 2)))))
(.f64 (.f64 z z) (fma.f64 y (.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 y (*.f64 z z)))))
(* 1/6 (* (pow z 2) (+ y (* (pow y 2) (- (* 2 y) 3)))))
(.f64 (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (.f64 z (.f64 z #s(literal 1/6 binary64))))
(* (pow z 2) (+ (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3)))) (* 1/2 (/ (* y (- 1 y)) z))))
(.f64 z (.f64 z (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y) (/.f64 (.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y))) z))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (* y (- 1 y)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(.f64 (.f64 z z) (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (/.f64 (fma.f64 y (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ y z)) (* -1/2 (* y (- 1 y)))) z)) (* 1/6 (+ y (* (pow y 2) (- (* 2 y) 3))))))
(.f64 (.f64 z z) (-.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 y (.f64 y (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64))) y)) (/.f64 (fma.f64 y (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) y) z)) z)))
(* y (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(*.f64 y (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (+ (* y (* z (- (* -1/2 z) 1/2))) (* z (+ 1/2 (* 1/6 z))))))
(.f64 y (fma.f64 y (.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* y (+ 1 (+ (* y (+ (* 1/3 (* y (pow z 2))) (* z (- (* -1/2 z) 1/2)))) (* z (+ 1/2 (* 1/6 z))))))
(.f64 y (fma.f64 y (fma.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z z)) (.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(* 1/3 (* (pow y 3) (pow z 2)))
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (*.f64 z z))))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))
(.f64 (.f64 y (.f64 y y)) (fma.f64 z (.f64 z #s(literal 1/3 binary64)) (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y)))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))
(.f64 (.f64 y (.f64 y y)) (fma.f64 z (+.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y))) (fma.f64 z (.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
(* (pow y 3) (+ (* 1/3 (pow z 2)) (+ (/ 1 (pow y 2)) (+ (/ (* z (+ 1/2 (* 1/6 z))) (pow y 2)) (/ (* z (- (* -1/2 z) 1/2)) y)))))
(.f64 (.f64 y (.f64 y y)) (fma.f64 z (+.f64 (/.f64 (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) y) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 y y))) (fma.f64 z (.f64 z #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))))
(* 1/3 (* (pow y 3) (pow z 2)))
(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (*.f64 z z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (* -1/2 z) 1/2)) y)) (* -1/3 (pow z 2)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 z (.f64 z #s(literal -1/3 binary64))) (/.f64 (.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64))) y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(.f64 (-.f64 (.f64 z (.f64 z #s(literal -1/3 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))) y)) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (- (* z (- (* -1/6 z) 1/2)) 1) y)) (* z (- (* -1/2 z) 1/2))) y)) (* -1/3 (pow z 2)))))
(.f64 (-.f64 (.f64 z (.f64 z #s(literal -1/3 binary64))) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 z (fma.f64 z #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))) y)) (.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)

eval174.0ms (0.8%)

Memory: 24.2MiB live, 248.0MiB allocated
Compiler: Compiled 23 833 to 2 547 computations (89.3% saved)

prune116.0ms (0.5%)

Memory

-37.2MiB live, 292.6MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	980	12	992
Fresh	5	7	12
Picked	4	1	5
Done	0	0	0
Total	989	20	1 009

Accuracy

99.8%

Counts

1 009 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x)
	57.8%	(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (+.f64 z #s(literal 1 binary64)) t)) x)
	67.2%	(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
	63.0%	(fma.f64 y (*.f64 z (fma.f64 z (fma.f64 z (/.f64 #s(literal -1/6 binary64) t) (/.f64 #s(literal -1/2 binary64) t)) (/.f64 #s(literal -1 binary64) t))) x)
	58.4%	(fma.f64 x (/.f64 x (+.f64 x (/.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) t))) (neg.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 x (/.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) t)) (.f64 t t)))))
	20.3%	(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
	12.5%	(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
▶	46.3%	(-.f64 x (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z))))) t))
	60.5%	(-.f64 x (/.f64 (.f64 z (.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) t))
▶	67.4%	(-.f64 x (/.f64 (*.f64 z y) t))
	61.3%	(-.f64 x (/.f64 (.f64 y (.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) t))
	60.8%	(-.f64 x (/.f64 (.f64 y (.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) t))
	62.4%	(-.f64 x (/.f64 (.f64 y (.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))) t))
	60.1%	(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
	67.2%	(-.f64 x (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t))
▶	45.7%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))) t))
	38.7%	(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
▶	59.8%	(-.f64 x (.f64 z (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) y)))
	76.8%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 t x))))
✓	69.0%	x

Compiler

Compiled 687 to 436 computations (36.5% saved)

simplify384.0ms (1.8%)

Memory

2.9MiB live, 559.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y)))
✓	cost-diff	0	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))) t)
✓	cost-diff	0	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))) t))
✓	cost-diff	384	(+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z)))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z))))) t)
✓	cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z))))) t))
✓	cost-diff	0	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t)
✓	cost-diff	0	(*.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) y)
✓	cost-diff	0	(.f64 z (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) y))
✓	cost-diff	0	(-.f64 x (.f64 z (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) y)))
✓	cost-diff	-64	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (/.f64 (*.f64 z y) t))
✓	cost-diff	64	(/.f64 (*.f64 z y) t)
✓	cost-diff	-64	(neg.f64 t)
✓	cost-diff	0	(expm1.f64 z)
✓	cost-diff	0	(/.f64 (expm1.f64 z) (neg.f64 t))
✓	cost-diff	0	(fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x)

Rules

7 246×	`accelerator-lowering-fma.f32`
7 246×	`accelerator-lowering-fma.f64`
4 596×	`-lowering-.f32`
4 596×	`-lowering-.f64`
2 170×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	247
1	110	247
2	312	224
3	1010	223
4	3486	217
5	7167	217
0	8063	192

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize278.0ms (1.3%)

Memory

-4.6MiB live, 478.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))) t))
✓	accuracy	93.6%	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))) t)
✓	accuracy	73.1%	(+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))
✓	accuracy	48.1%	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y)))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 z (*.f64 z z)))
✓	accuracy	96.1%	(/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z))))) t)
✓	accuracy	95.2%	(.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z))))
✓	accuracy	80.3%	(.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z)))))
✓	accuracy	99.8%	(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	96.7%	(/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t)
✓	accuracy	95.7%	(*.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) y)
✓	accuracy	95.1%	(.f64 z (.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (/.f64 (*.f64 z y) t))
✓	accuracy	90.8%	(/.f64 (*.f64 z y) t)
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	100.0%	(expm1.f64 z)
✓	accuracy	100.0%	(/.f64 (expm1.f64 z) (neg.f64 t))
✓	accuracy	98.8%	(fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x)

Samples

109.0ms	144×	1	valid
32.0ms	33×	2	valid
17.0ms	59×	0	valid
6.0ms	6×	3	valid
4.0ms	14×	0	invalid

Compiler

Compiled 238 to 41 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-log: 37.0ms (31% of total)

ival-mult: 24.0ms (20.1% of total)

ival-div: 19.0ms (15.9% of total)

adjust: 10.0ms (8.4% of total)

ival-sub: 9.0ms (7.5% of total)

ival-add: 9.0ms (7.5% of total)

const: 7.0ms (5.9% of total)

ival-expm1: 3.0ms (2.5% of total)

ival-neg: 1.0ms (0.8% of total)

exact: 0.0ms (0% of total)

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

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

series375.0ms (1.7%)

Memory

18.2MiB live, 133.9MiB allocated

Counts

22 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
152.0ms	x	@	0	(- x (/ (log (+ (- 1 y) (+ (* y z) y))) t))
147.0ms	t	@	inf	(/ (log (+ (- 1 y) (+ (* y z) y))) t)
13.0ms	z	@	inf	(- x (* z (* (/ (+ (* z (+ (* z 1/6) 1/2)) 1) t) y)))
11.0ms	t	@	0	(/ (log (+ (- 1 y) (+ (* y z) y))) t)
1.0ms	t	@	0	(- x (/ (log (+ (- 1 y) (+ (* y z) y))) t))

rewrite890.0ms (4.1%)

Memory

20.6MiB live, 609.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 928×	`-lowering-.f32`
5 928×	`-lowering-.f64`
4 288×	`/-lowering-/.f32`
4 288×	`/-lowering-/.f64`
3 068×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	199
1	262	187
2	2416	187
0	9134	164

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 556

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) x)
(+.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x))))
(fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) x)
(fma.f64 (expm1.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) t) y) x)
(fma.f64 (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) y x)
(fma.f64 (*.f64 y (expm1.f64 z)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (expm1.f64 z) t) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x)) (-.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (.f64 x x))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (.f64 (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x))) (.f64 (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x)) (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64))) (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x)) (-.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t)) (neg.f64 x))))
(+.f64 (neg.f64 (/.f64 (exp.f64 z) t)) (neg.f64 (/.f64 #s(literal -1 binary64) t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (expm1.f64 z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t))
(-.f64 (neg.f64 (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t))
(fma.f64 (exp.f64 z) (/.f64 #s(literal -1 binary64) t) (neg.f64 (/.f64 #s(literal -1 binary64) t)))
(neg.f64 (/.f64 (expm1.f64 z) t))
(/.f64 #s(literal 1 binary64) (/.f64 t (-.f64 #s(literal 0 binary64) (expm1.f64 z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (expm1.f64 z))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 z)) t)
(/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (expm1.f64 z)))))
(/.f64 (expm1.f64 (+.f64 z z)) (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 z) (-.f64 #s(literal 0 binary64) t)) (.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 1 binary64))) (*.f64 t t))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 z z)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)))
(/.f64 (.f64 (expm1.f64 (+.f64 z z)) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 (/.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 t (.f64 t t)))) (/.f64 #s(literal -1 binary64) (.f64 t (.f64 t t)))) (+.f64 (pow.f64 (neg.f64 (/.f64 (exp.f64 z) t)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) t) (.f64 (neg.f64 (/.f64 (exp.f64 z) t)) (/.f64 #s(literal -1 binary64) t)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (/.f64 (exp.f64 z) t)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) t))) (fma.f64 (exp.f64 z) (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) t)))
(/.f64 (*.f64 (expm1.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) t))
(/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) t)) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (+.f64 z z)) (/.f64 #s(literal -1 binary64) t)) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (/.f64 (expm1.f64 z) #s(literal -1 binary64)) t)
(/.f64 (-.f64 (neg.f64 (exp.f64 z)) #s(literal -1 binary64)) t)
(/.f64 (-.f64 (/.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) t)
(/.f64 (-.f64 (.f64 (exp.f64 z) (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal 1 binary64))))
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(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 0 binary64) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (*.f64 (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))))) t)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)) t)
(pow.f64 (/.f64 t (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 t (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))) t))
(*.f64 (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)))
(log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)))
(+.f64 (log.f64 (fma.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z y) (-.f64 (fma.f64 y z y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 (log.f64 (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (fma.f64 y z y) (-.f64 (fma.f64 y z y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y))) (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y)))))))
(-.f64 (log.f64 (fma.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (fma.f64 (fma.f64 y z y) (-.f64 (fma.f64 y z y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (log.f64 (fma.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (fma.f64 (fma.f64 y z y) (fma.f64 y z y) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y z y))))))
(-.f64 (log.f64 (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y))))) (log.f64 (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y)))))
(-.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (.f64 y z)))) (.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 y y) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))))) (log.f64 (.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (.f64 y z)))))))
(-.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (-.f64 (.f64 y z) y) (.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y z y) (-.f64 (.f64 y z) y))))) (log.f64 (.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y z) y))))
(-.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (.f64 y z)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 y y) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))))) (log.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (*.f64 y z)))))))
(-.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (.f64 y z) y) (.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (fma.f64 y z y) (-.f64 (.f64 y z) y))))) (log.f64 (.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 y z) y))))
(-.f64 (log.f64 (fma.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (.f64 y z)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (log.f64 (.f64 (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (.f64 y z)))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (+.f64 y #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (.f64 y z)))) (-.f64 #s(literal 1 binary64) (.f64 y y))))) (log.f64 (.f64 (fma.f64 z (.f64 z (.f64 y y)) (.f64 y (-.f64 y (*.f64 y z)))) (+.f64 y #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 (.f64 (fma.f64 y z y) (-.f64 (.f64 y z) y)) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 y z) y) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))) (log.f64 (.f64 (-.f64 (.f64 y z) y) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 (.f64 (fma.f64 y z y) (-.f64 (.f64 y z) y)) (+.f64 y #s(literal 1 binary64)) (.f64 (-.f64 (.f64 y z) y) (-.f64 #s(literal 1 binary64) (.f64 y y))))) (log.f64 (.f64 (-.f64 (*.f64 y z) y) (+.f64 y #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (neg.f64 (fma.f64 (fma.f64 y z y) (-.f64 (fma.f64 y z y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y))))))
(-.f64 (log.f64 (fma.f64 (fma.f64 y z (-.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 y z (-.f64 #s(literal 1 binary64) y)) (fma.f64 y z (-.f64 #s(literal 1 binary64) y))) (.f64 y (.f64 y y)))) (log.f64 (fma.f64 (fma.f64 y z (-.f64 #s(literal 1 binary64) y)) (fma.f64 y z (-.f64 #s(literal 1 binary64) y)) (-.f64 (.f64 y y) (*.f64 (fma.f64 y z (-.f64 #s(literal 1 binary64) y)) y)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 y (fma.f64 y z y)) (.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)))))) (log1p.f64 (fma.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)) (*.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y z y))))))
(-.f64 (log.f64 (-.f64 (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (log.f64 (-.f64 (fma.f64 y z y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (log.f64 (-.f64 (.f64 (fma.f64 y z (-.f64 #s(literal 1 binary64) y)) (fma.f64 y z (-.f64 #s(literal 1 binary64) y))) (.f64 y y))) (log.f64 (-.f64 (fma.f64 y z (-.f64 #s(literal 1 binary64) y)) y)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))))) (log1p.f64 (-.f64 y (fma.f64 y z y))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 y z y) (-.f64 (fma.f64 y z y) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y))) (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y z y)))))))
(log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y))))
(log1p.f64 (fma.f64 #s(literal -1 binary64) y (fma.f64 y z y)))
(+.f64 (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 z #s(literal 1/12 binary64))) (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 z #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (*.f64 z #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 z #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 z z) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 z #s(literal 1/12 binary64))) (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(.f64 y (.f64 z (.f64 (.f64 z z) #s(literal 1/3 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 (.f64 z (.f64 z z)) y))
(.f64 (.f64 z (.f64 z z)) (.f64 y #s(literal 1/3 binary64)))
(.f64 (.f64 z (.f64 (.f64 z z) #s(literal 1/3 binary64))) y)
(.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 z (.f64 z z)))
(.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 (.f64 z z) y))
(.f64 (.f64 y (.f64 z (.f64 z z))) #s(literal 1/3 binary64))
(.f64 (.f64 y (.f64 z #s(literal 1/3 binary64))) (.f64 z z))
(.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) z) (.f64 z z))
(.f64 (.f64 (.f64 y #s(literal 1/3 binary64)) (.f64 z z)) z)
(.f64 z (.f64 (*.f64 z z) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 z (*.f64 z z)))
(.f64 (.f64 z z) (*.f64 z #s(literal 1/3 binary64)))
(.f64 (.f64 z (*.f64 z z)) #s(literal 1/3 binary64))
(.f64 (.f64 z #s(literal 1/3 binary64)) (*.f64 z z))
(.f64 (.f64 #s(literal 1/3 binary64) (*.f64 z z)) z)
(.f64 (.f64 (*.f64 z #s(literal 1/3 binary64)) z) z)

simplify421.0ms (1.9%)

Memory

-6.9MiB live, 898.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 940×	`accelerator-lowering-fma.f32`
6 940×	`accelerator-lowering-fma.f64`
5 174×	`-lowering-.f32`
5 174×	`-lowering-.f64`
2 728×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	7114
1	2033	6981
2	6259	6898
0	8125	6356

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

eval179.0ms (0.8%)

Memory: 28.9MiB live, 308.6MiB allocated
Compiler: Compiled 29 173 to 2 924 computations (90% saved)

prune168.0ms (0.8%)

Memory

-16.3MiB live, 297.0MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1 180	24	1 204
Fresh	7	7	14
Picked	2	3	5
Done	0	1	1
Total	1 189	35	1 224

Accuracy

99.8%

Counts

1 224 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.3%	(fma.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t) x)
▶	63.0%	(fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)) y x)
	45.7%	(fma.f64 (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) t) x)
	65.5%	(fma.f64 z (neg.f64 (/.f64 y t)) x)
	61.8%	(fma.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 t)) x)
	62.2%	(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 t)) x)
✓	81.3%	(fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x)
▶	67.2%	(fma.f64 y (/.f64 z (neg.f64 t)) x)
	58.4%	(fma.f64 x (/.f64 x (+.f64 x (/.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) t))) (neg.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 x (/.f64 (log.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) t)) (.f64 t t)))))
	20.3%	(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
▶	3.7%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 z (.f64 z z)))) t)
	9.5%	(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t))
	12.5%	(-.f64 x (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
✓	46.3%	(-.f64 x (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z))))) t))
	60.5%	(-.f64 x (/.f64 (.f64 z (.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) t))
✓	67.4%	(-.f64 x (/.f64 (*.f64 z y) t))
	60.6%	(-.f64 x (/.f64 (.f64 y (fma.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 z z)) z)) t))
	60.8%	(-.f64 x (/.f64 (.f64 y (.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) t))
▶	61.9%	(-.f64 x (/.f64 (log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y)))) t))
	60.1%	(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
	45.7%	(-.f64 x (/.f64 (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))) t))
	38.7%	(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
	29.1%	(-.f64 x (/.f64 (log.f64 (*.f64 y z)) t))
	45.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))))))
	53.0%	(-.f64 x (.f64 z (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 z z))) t)))
	59.6%	(-.f64 x (.f64 z (.f64 (/.f64 (fma.f64 z (*.f64 z #s(literal 1/6 binary64)) #s(literal 1 binary64)) t) y)))
	65.5%	(-.f64 x (.f64 z (.f64 (/.f64 #s(literal 1 binary64) t) y)))
	41.7%	(-.f64 x (.f64 z (.f64 (.f64 z (.f64 z (+.f64 (/.f64 #s(literal 1/6 binary64) t) (/.f64 #s(literal 1/2 binary64) (*.f64 z t))))) y)))
	67.1%	(-.f64 x (.f64 y (.f64 z (/.f64 #s(literal 1 binary64) t))))
	53.0%	(-.f64 x (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y (.f64 z (.f64 z z))) t)))
	27.5%	(.f64 (-.f64 (.f64 x x) (/.f64 (.f64 z (.f64 z (.f64 y y))) (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z t) x)))
▶	76.8%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 t x))))
	63.4%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (.f64 x t))))
	61.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z (*.f64 x t)))))
✓	69.0%	x

Compiler

Compiled 1 127 to 722 computations (35.9% saved)

simplify310.0ms (1.4%)

Memory

-12.4MiB live, 535.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y))))
✓	cost-diff	0	(/.f64 (log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y)))) t)
✓	cost-diff	0	(-.f64 x (/.f64 (log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y)))) t))
✓	cost-diff	320	(neg.f64 (-.f64 y (fma.f64 y z y)))
✓	cost-diff	0	(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)) y x)
✓	cost-diff	128	(neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 z (.f64 z z))
✓	cost-diff	0	(.f64 y (.f64 z (*.f64 z z)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 z (.f64 z z)))) t)
✓	cost-diff	-64	(neg.f64 t)
✓	cost-diff	0	(/.f64 z (neg.f64 t))
✓	cost-diff	0	(fma.f64 y (/.f64 z (neg.f64 t)) x)
✓	cost-diff	0	(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 t x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 t x)))
✓	cost-diff	640	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 t x))))

Rules

8 048×	`accelerator-lowering-fma.f32`
8 048×	`accelerator-lowering-fma.f64`
3 106×	`--lowering--.f32`
3 106×	`--lowering--.f64`
2 446×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	260
1	113	259
2	322	240
3	991	237
4	2813	233
5	5961	233
0	8126	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))))
x
(- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x)))
1
(/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))
(log (+ (* y (- (exp z) 1)) 1))
(+ (* y (- (exp z) 1)) 1)
y
(- (exp z) 1)
z
(* t x)
t
(+ (* y (/ z (neg t))) x)
y
(/ z (neg t))
z
(neg t)
t
x
(/ (* -1/6 (* y (* z (* z z)))) t)
(* -1/6 (* y (* z (* z z))))
-1/6
(* y (* z (* z z)))
y
(* z (* z z))
z
(* z z)
t
(+ (* (neg (/ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) t)) y) x)
(neg (/ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) t))
(/ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) t)
(* z (+ (* z (+ (* z 1/6) 1/2)) 1))
z
(+ (* z (+ (* z 1/6) 1/2)) 1)
(+ (* z 1/6) 1/2)
1/6
1/2
1
t
y
x
(- x (/ (log (+ 1 (neg (- y (+ (* y z) y))))) t))
x
(/ (log (+ 1 (neg (- y (+ (* y z) y))))) t)
(log (+ 1 (neg (- y (+ (* y z) y)))))
(neg (- y (+ (* y z) y)))
(- y (+ (* y z) y))
y
(+ (* y z) y)
z
t

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

localize279.0ms (1.3%)

Memory

11.5MiB live, 482.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x (/.f64 (log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y)))) t))
✓	accuracy	94.7%	(log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y))))
✓	accuracy	93.6%	(/.f64 (log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y)))) t)
✓	accuracy	51.8%	(-.f64 y (fma.f64 y z y))
✓	accuracy	100.0%	(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	95.9%	(fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)) y x)
✓	accuracy	99.9%	(.f64 z (.f64 z z))
✓	accuracy	99.5%	(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 z (.f64 z z))))
✓	accuracy	95.2%	(.f64 y (.f64 z (*.f64 z z)))
✓	accuracy	89.2%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 z (.f64 z z)))) t)
✓	accuracy	100.0%	(/.f64 z (neg.f64 t))
✓	accuracy	100.0%	(neg.f64 t)
✓	accuracy	94.7%	(fma.f64 y (/.f64 z (neg.f64 t)) x)
✓	accuracy	100.0%	(expm1.f64 z)
✓	accuracy	91.1%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 t x))))
✓	accuracy	88.9%	(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 t x))
✓	accuracy	48.3%	(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))

Samples

109.0ms	143×	1	valid
65.0ms	55×	2	valid
14.0ms	44×	0	valid
4.0ms	14×	0	invalid

Compiler

Compiled 231 to 43 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-log: 35.0ms (22.5% of total)

ival-mult: 27.0ms (17.3% of total)

ival-div: 21.0ms (13.5% of total)

ival-expm1: 20.0ms (12.8% of total)

ival-add: 14.0ms (9% of total)

adjust: 11.0ms (7.1% of total)

ival-sub: 9.0ms (5.8% of total)

const: 7.0ms (4.5% of total)

ival-neg: 5.0ms (3.2% of total)

ival-log1p: 4.0ms (2.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series198.0ms (0.9%)

Memory

15.7MiB live, 323.7MiB allocated

Counts

23 → 636

Calls

Call 1

Inputs
#<alt (* x (- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))))>
#<alt (- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x)))>
#<alt (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))>
#<alt (log (+ (* y (- (exp z) 1)) 1))>
#<alt (+ (* y (/ z (neg t))) x)>
#<alt (/ z (neg t))>
#<alt (neg t)>
#<alt (/ (* -1/6 (* y (* z (* z z)))) t)>
#<alt (* y (* z (* z z)))>
#<alt (* z (* z z))>
#<alt (* z z)>
#<alt (neg (/ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) t))>
#<alt (+ (* (neg (/ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) t)) y) x)>
#<alt (* z (+ (* z (+ (* z 1/6) 1/2)) 1))>
#<alt (+ (* z (+ (* z 1/6) 1/2)) 1)>
#<alt (neg (- y (+ (* y z) y)))>
#<alt (- x (/ (log (+ 1 (neg (- y (+ (* y z) y))))) t))>
#<alt (/ (log (+ 1 (neg (- y (+ (* y z) y))))) t)>
#<alt (log (+ 1 (neg (- y (+ (* y z) y)))))>
#<alt (- (exp z) 1)>
#<alt (* -1/6 (* y (* z (* z z))))>
#<alt (+ (* z 1/6) 1/2)>
#<alt (- y (+ (* y z) y))>

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

Calls

159 calls:

Time	Variable		Point	Expression
71.0ms	z	@	inf	(* x (- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))))
24.0ms	y	@	inf	(* x (- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))))
19.0ms	z	@	-inf	(* x (- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))))
14.0ms	t	@	0	(/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))
12.0ms	y	@	0	(/ (log (+ 1 (neg (- y (+ (* y z) y))))) t)

rewrite410.0ms (1.9%)

Memory

-2.3MiB live, 669.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 986×	`-lowering-.f32`
5 986×	`-lowering-.f64`
4 162×	`/-lowering-/.f32`
4 162×	`/-lowering-/.f64`
3 430×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	207
1	264	206
2	2304	206
0	8897	170

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 418

Calls

Call 1

Inputs
(* x (- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))))
(- 1 (/ (log (+ (* y (- (exp z) 1)) 1)) (* t x)))
(/ (log (+ (* y (- (exp z) 1)) 1)) (* t x))
(log (+ (* y (- (exp z) 1)) 1))
(+ (* y (/ z (neg t))) x)
(/ z (neg t))
(neg t)
(/ (* -1/6 (* y (* z (* z z)))) t)
(* y (* z (* z z)))
(* z (* z z))
(* z z)
(neg (/ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) t))
(+ (* (neg (/ (* z (+ (* z (+ (* z 1/6) 1/2)) 1)) t)) y) x)
(* z (+ (* z (+ (* z 1/6) 1/2)) 1))
(+ (* z (+ (* z 1/6) 1/2)) 1)
(neg (- y (+ (* y z) y)))
(- x (/ (log (+ 1 (neg (- y (+ (* y z) y))))) t))
(/ (log (+ 1 (neg (- y (+ (* y z) y))))) t)
(log (+ 1 (neg (- y (+ (* y z) y)))))
(- (exp z) 1)
(* -1/6 (* y (* z (* z z))))
(+ (* z 1/6) 1/2)
(- y (+ (* y z) y))

Outputs
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x t)))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x t))) x))
(fma.f64 x #s(literal 1 binary64) (.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x t)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x t))) x))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64))) x) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) x)
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x t))))
(+.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x t))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64)) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)))) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t)))))
(fma.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x t))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x t)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x t)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x t)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64)) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t))) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x t) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x t) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x t) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)))
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 x t))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x t) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))))
(/.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t) x)
(/.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (.f64 x t))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 x t)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)) x)
(/.f64 (.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 x t))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x t))))
(/.f64 (neg.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)) (neg.f64 x))
(/.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) x) t)
(pow.f64 (/.f64 (*.f64 x t) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x t) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)))
(.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x t)))
(.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (.f64 x t)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x t))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 x (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x t)) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x t)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x t)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(+.f64 (log1p.f64 (pow.f64 (.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 y (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))))
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(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y z y))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y z y))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)))))))
(-.f64 (log1p.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))))) (log.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (log1p.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))))) (log.f64 (fma.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)) (+.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y z y))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))))) (log1p.f64 (-.f64 y (fma.f64 y z y))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y z y))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 y (fma.f64 y z y)) (.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)))))) (log1p.f64 (fma.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)) (*.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y z y))))))
(-.f64 (log.f64 (-.f64 (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64))) (log.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y))) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 y z y))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (fma.f64 y z y)) (-.f64 y (fma.f64 y z y)))))))
(log1p.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 y z y))))
(+.f64 (exp.f64 z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 z))
(-.f64 (exp.f64 z) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 z #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))))
(-.f64 (/.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 z))))
(fma.f64 #s(literal 1 binary64) (exp.f64 z) #s(literal -1 binary64))
(fma.f64 (exp.f64 z) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (expm1.f64 (+.f64 z z))))
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))))
(/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 z) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))
(/.f64 (expm1.f64 (+.f64 z z)) (-.f64 (exp.f64 z) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 z #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))) (.f64 (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) (+.f64 #s(literal 1 binary64) (exp.f64 z))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (expm1.f64 (+.f64 z z))) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 z z)) (+.f64 #s(literal 1 binary64) (exp.f64 z)))))
(*.f64 (expm1.f64 (+.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 z))))
(.f64 y (.f64 (.f64 z (.f64 z z)) #s(literal -1/6 binary64)))
(.f64 #s(literal -1/6 binary64) (.f64 y (.f64 z (.f64 z z))))
(.f64 (.f64 z (.f64 z z)) (.f64 y #s(literal -1/6 binary64)))
(.f64 (.f64 y (.f64 z (.f64 z z))) #s(literal -1/6 binary64))
(.f64 (.f64 y z) (.f64 (.f64 z z) #s(literal -1/6 binary64)))
(.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z (.f64 z z)))
(.f64 (.f64 #s(literal -1/6 binary64) (.f64 z (.f64 z z))) y)
(.f64 (.f64 #s(literal -1/6 binary64) (.f64 y z)) (.f64 z z))
(.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) z) (.f64 z z))
(.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 z z)) z)
(+.f64 (*.f64 z #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))) (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (*.f64 z #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 z z) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/36 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 z #s(literal 1/12 binary64)))) (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y z y)))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y z y)) y)
(+.f64 (-.f64 y (*.f64 y z)) (neg.f64 y))
(-.f64 y (fma.f64 y z y))
(-.f64 (-.f64 y (*.f64 y z)) y)
(-.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y))) (/.f64 (.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y))) (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y))))
(-.f64 (/.f64 (.f64 y y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y)) (/.f64 (.f64 (fma.f64 y z y) (fma.f64 y z y)) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y)))
(-.f64 (-.f64 y y) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (fma.f64 y z y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (*.f64 y y)) (-.f64 y (fma.f64 y z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (-.f64 y (fma.f64 y z y)))))
(/.f64 (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (-.f64 y (fma.f64 y z y))) (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (*.f64 y y)))
(/.f64 (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (-.f64 y (fma.f64 y z y))) (fma.f64 y y (-.f64 (.f64 (fma.f64 y z y) (fma.f64 y z y)) (.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y z y))))))
(/.f64 (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (-.f64 y (fma.f64 y z y))) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y))
(/.f64 (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (-.f64 y (fma.f64 y z y))) (-.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y z y))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (-.f64 y (fma.f64 y z y)))) (neg.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (-.f64 y (fma.f64 y z y)))) (neg.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y)))
(/.f64 (-.f64 (.f64 (-.f64 y (.f64 y z)) (.f64 (-.f64 y (.f64 y z)) (-.f64 y (.f64 y z)))) (.f64 y (.f64 y y))) (fma.f64 (-.f64 y (.f64 y z)) (-.f64 y (.f64 y z)) (fma.f64 y y (.f64 (-.f64 y (*.f64 y z)) y))))
(/.f64 (-.f64 (.f64 (-.f64 y (.f64 y z)) (-.f64 y (.f64 y z))) (.f64 y y)) (+.f64 (-.f64 y (*.f64 y z)) y))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y))) (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (.f64 (fma.f64 y z y) (.f64 (fma.f64 y z y) (fma.f64 y z y))))) (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y)) (.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 (fma.f64 y z y) (fma.f64 y z y)))) (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (*.f64 y y)) (-.f64 y (fma.f64 y z y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (*.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (-.f64 y (fma.f64 y z y)))) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y)) (-.f64 y (fma.f64 y z y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y z y) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (.f64 y y))))
(.f64 (.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y y) (-.f64 y (fma.f64 y z y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal 1 binary64)) y y)))

simplify477.0ms (2.2%)

Memory

-20.1MiB live, 887.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 462×	`accelerator-lowering-fma.f32`
9 462×	`accelerator-lowering-fma.f64`
6 478×	`-lowering-.f32`
6 478×	`-lowering-.f64`
4 190×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	8190
1	2861	7929
0	8514	7037

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

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

eval170.0ms (0.8%)

Memory: 15.1MiB live, 206.5MiB allocated
Compiler: Compiled 20 097 to 2 529 computations (87.4% saved)

prune251.0ms (1.2%)

Memory

0.8MiB live, 195.9MiB allocated

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	1 037	17	1 054
Fresh	12	14	26
Picked	1	4	5
Done	0	4	4
Total	1 050	39	1 089

Accuracy

100.0%

Counts

1 089 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.3%	(fma.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) t) x)
✓	63.0%	(fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)) y x)
	62.8%	(fma.f64 (neg.f64 (/.f64 (.f64 z (fma.f64 z (.f64 z #s(literal 1/6 binary64)) #s(literal 1 binary64))) t)) y x)
	62.2%	(fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) t)) y x)
	52.9%	(fma.f64 (neg.f64 (/.f64 (.f64 z (.f64 z (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))) t)) y x)
	45.7%	(fma.f64 (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) t) x)
	60.9%	(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (.f64 y z)) t) (-.f64 #s(literal 0 binary64) (/.f64 y t))) x)
	65.5%	(fma.f64 z (*.f64 (/.f64 #s(literal -1 binary64) t) y) x)
	65.5%	(fma.f64 z (neg.f64 (/.f64 y t)) x)
	61.8%	(fma.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 t)) x)
✓	81.3%	(fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x)
	26.6%	(fma.f64 y (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (.f64 t (.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) x)
	54.2%	(fma.f64 y (/.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t))) x)
✓	67.2%	(fma.f64 y (/.f64 z (neg.f64 t)) x)
	67.1%	(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) t) z)) x)
	67.1%	(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) t) z) x)
	56.4%	(/.f64 (-.f64 (*.f64 t x) (log.f64 (fma.f64 y z #s(literal 1 binary64)))) t)
	20.3%	(/.f64 (*.f64 y (expm1.f64 z)) (neg.f64 t))
	3.7%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 (.f64 y z) z) z)) t)
✓	3.7%	(/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 z (.f64 z z)))) t)
	12.5%	(-.f64 x (/.f64 (+.f64 (log.f64 z) (log.f64 y)) t))
✓	46.3%	(-.f64 x (/.f64 (.f64 (.f64 y y) (.f64 y (.f64 #s(literal 1/3 binary64) (.f64 z (.f64 z z))))) t))
	60.5%	(-.f64 x (/.f64 (.f64 z (.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)) t))
✓	67.4%	(-.f64 x (/.f64 (*.f64 z y) t))
	60.6%	(-.f64 x (/.f64 (.f64 y (fma.f64 y (.f64 z (*.f64 z #s(literal -1/2 binary64))) z)) t))
	60.8%	(-.f64 x (/.f64 (.f64 y (.f64 z (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) t))
	77.3%	(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
✓	61.9%	(-.f64 x (/.f64 (log1p.f64 (neg.f64 (-.f64 y (fma.f64 y z y)))) t))
	60.1%	(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
	45.7%	(-.f64 x (/.f64 (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))) t))
	38.7%	(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
	45.7%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 (fma.f64 (+.f64 z #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))))))
	41.7%	(-.f64 x (.f64 z (.f64 (.f64 z (.f64 z (+.f64 (/.f64 #s(literal 1/6 binary64) t) (/.f64 #s(literal 1/2 binary64) (*.f64 z t))))) y)))
	61.6%	(.f64 (fma.f64 y (/.f64 z (.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
	3.7%	(.f64 (/.f64 (.f64 y (.f64 z (.f64 z z))) t) #s(literal -1/6 binary64))
	10.8%	(.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (neg.f64 (.f64 t x))))
	63.4%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (.f64 x t))))
	77.5%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)))))
✓	69.0%	x

Compiler

Compiled 1 555 to 731 computations (53% saved)

regimes463.0ms (2.1%)

Memory

-33.4MiB live, 294.3MiB allocated

Counts

71 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

74.0ms	z
67.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
64.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
60.0ms	t
57.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
89.8%	3	`x`
94.7%	3	`y`
92.8%	2	`z`
87.2%	3	`t`
98.4%	5	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
99.3%	5	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
99.9%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
99.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
92.8%	2	`(exp.f64 z)`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes33.0ms (0.2%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

69 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.9%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
99.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes168.0ms (0.8%)

Memory

7.6MiB live, 163.1MiB allocated

Counts

61 → 3

Calls

Call 1

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

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

Calls

7 calls:

37.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
36.0ms	y
30.0ms	z
21.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
16.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
87.7%	2	`z`
87.7%	2	`(exp.f64 z)`
90.5%	3	`y`
90.2%	4	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
92.2%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
91.7%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
91.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 73 to 55 computations (24.7% saved)

regimes60.0ms (0.3%)

Memory

-32.5MiB live, 48.3MiB allocated

Counts

48 → 3

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
29.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
91.4%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
91.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes210.0ms (1%)

Memory

20.3MiB live, 252.2MiB allocated

Counts

47 → 2

Calls

Call 1

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

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

Calls

9 calls:

53.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
39.0ms	x
38.0ms	y
14.0ms	t
13.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
81.1%	2	`t`
83.7%	4	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
85.3%	2	`(exp.f64 z)`
85.3%	2	`z`
80.6%	2	`x`
77.3%	1	`y`
80.5%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
81.1%	3	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
81.1%	3	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`

Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes91.0ms (0.4%)

Memory

20.0MiB live, 224.2MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs
x
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 t)) x)

Calls

7 calls:

17.0ms	t
14.0ms	x
14.0ms	z
13.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
11.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
73.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
73.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
78.3%	5	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
78.3%	3	`x`
76.3%	3	`t`
78.7%	2	`(exp.f64 z)`
79.0%	2	`z`

Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes40.0ms (0.2%)

Memory

-20.5MiB live, 21.4MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs
x
(fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)) y x)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
79.0%	2	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.1%)

Memory

-17.3MiB live, 20.9MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs
x
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 t)) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
79.0%	2	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs
x
(fma.f64 y (/.f64 z (neg.f64 t)) x)

Calls

2 calls:

5.0ms	z
4.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)

Results

Accuracy	Segments	Branch
73.3%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
78.9%	2	`z`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes4.0ms (0%)

Memory

11.5MiB live, 11.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
x
(-.f64 x (/.f64 (*.f64 y z) t))
(-.f64 x (/.f64 (*.f64 z y) t))

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
74.4%	2	`y`
78.7%	2	`z`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory

-3.9MiB live, 34.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

9 calls:

3.0ms	(exp.f64 z)
1.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
1.0ms	x
1.0ms	t
1.0ms	y

Results

Accuracy	Segments	Branch
69.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
69.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
69.0%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
69.0%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
69.0%	1	`y`
69.0%	1	`t`
69.0%	1	`x`
69.0%	1	`(exp.f64 z)`
69.0%	1	`z`

Compiler

Compiled 83 to 63 computations (24.1% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	90967.38067146689
0.0ms	0.0	0.9999999975370646

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	90967.38067146689
0.0ms	0.0	0.9999999975370646

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.01951940800877e+62	9.407342226171802e+64
0.0ms	0.0	0.9999999975370646

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.01951940800877e+62	9.407342226171802e+64
0.0ms	0.0	0.9999999975370646

Compiler

Compiled 20 to 19 computations (5% saved)

bsearch29.0ms (0.1%)

Memory

-27.6MiB live, 49.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-2135053059478260500.0	-10316948428952526.0

Samples

9.0ms	37×	1	valid
8.0ms	75×	0	valid
1.0ms	13×	0	invalid

Compiler

Compiled 153 to 117 computations (23.5% saved)

Precisions

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

ival-log: 6.0ms (45% of total)

ival-sub: 2.0ms (15% of total)

ival-exp: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

ival-div: 1.0ms (7.5% of total)

adjust: 1.0ms (7.5% of total)

ival-mult: 1.0ms (7.5% of total)

exact: 0.0ms (0% of total)

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

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

bsearch46.0ms (0.2%)

Memory

16.4MiB live, 90.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-1.6774242440538632e-69	-5.392748659499707e-72

Samples

30.0ms	86×	1	valid
5.0ms	18×	1	invalid
4.0ms	42×	0	valid

Compiler

Compiled 252 to 187 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-exp: 10.0ms (31.1% of total)

ival-log: 9.0ms (28% of total)

ival-sub: 4.0ms (12.4% of total)

adjust: 4.0ms (12.4% of total)

ival-div: 2.0ms (6.2% of total)

ival-mult: 2.0ms (6.2% of total)

ival-add: 1.0ms (3.1% of total)

exact: 0.0ms (0% of total)

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

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

bsearch50.0ms (0.2%)

Memory

26.9MiB live, 104.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	-1.6774242440538632e-69	-5.392748659499707e-72

Samples

33.0ms	81×	1	valid
5.0ms	20×	1	invalid
4.0ms	47×	0	valid

Compiler

Compiled 228 to 171 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-exp: 9.0ms (30.6% of total)

ival-log: 8.0ms (27.2% of total)

ival-mult: 5.0ms (17% of total)

ival-sub: 3.0ms (10.2% of total)

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

adjust: 2.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

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

bsearch43.0ms (0.2%)

Memory

-24.0MiB live, 94.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-1.6774242440538632e-69	-5.392748659499707e-72

Samples

29.0ms	89×	1	valid
4.0ms	39×	0	valid
2.0ms	8×	1	invalid

Compiler

Compiled 204 to 155 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-log: 10.0ms (34.8% of total)

ival-exp: 9.0ms (31.3% of total)

ival-sub: 3.0ms (10.4% of total)

ival-div: 3.0ms (10.4% of total)

adjust: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

ival-add: 1.0ms (3.5% of total)

exact: 0.0ms (0% of total)

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

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

bsearch52.0ms (0.2%)

Memory

-5.6MiB live, 122.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
49.0ms	-1.6774242440538632e-69	-5.392748659499707e-72

Samples

32.0ms	85×	1	valid
7.0ms	26×	1	invalid
5.0ms	43×	0	valid

Compiler

Compiled 164 to 123 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-exp: 11.0ms (31% of total)

ival-div: 8.0ms (22.5% of total)

ival-log: 8.0ms (22.5% of total)

ival-sub: 3.0ms (8.4% of total)

adjust: 2.0ms (5.6% of total)

ival-mult: 2.0ms (5.6% of total)

ival-add: 1.0ms (2.8% of total)

exact: 0.0ms (0% of total)

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

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

bsearch47.0ms (0.2%)

Memory

3.7MiB live, 122.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-1.6774242440538632e-69	-5.392748659499707e-72

Samples

26.0ms	84×	1	valid
7.0ms	26×	1	invalid
6.0ms	44×	0	valid

Compiler

Compiled 164 to 123 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-exp: 12.0ms (36.5% of total)

ival-log: 11.0ms (33.4% of total)

ival-sub: 3.0ms (9.1% of total)

adjust: 2.0ms (6.1% of total)

ival-div: 2.0ms (6.1% of total)

ival-mult: 2.0ms (6.1% of total)

ival-add: 1.0ms (3% of total)

exact: 0.0ms (0% of total)

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

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

simplify18.0ms (0.1%)

Memory

20.9MiB live, 59.3MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative_binary64`
64×	`+-commutative_binary64`
62×	`sub-neg_binary64`
50×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	280
1	126	280
2	188	280
3	250	280
4	285	280
5	299	280
6	301	280

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (.f64 y (fma.f64 (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (expm1.f64 z) t)))) (-.f64 x (/.f64 (log.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x) (-.f64 x (/.f64 (log.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) t)) x))
(if (<=.f64 z #s(literal -1300000000000000000 binary64)) x (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z #s(literal -1311301502252367/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 t)) x))
(if (<=.f64 z #s(literal -3147123605405681/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) x (fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)) y x))
(if (<=.f64 z #s(literal -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 t)) x))
(if (<=.f64 z #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) x (fma.f64 y (/.f64 z (neg.f64 t)) x))
(if (<=.f64 z #s(literal -839232961441515/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) x (-.f64 x (/.f64 (*.f64 y z) t)))
x

Outputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (-.f64 x (.f64 y (fma.f64 (.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (expm1.f64 z) t)))) (-.f64 x (/.f64 (log.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x) (-.f64 x (/.f64 (log.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) x) (-.f64 x (/.f64 (log.f64 (.f64 y (expm1.f64 z))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (fma.f64 y (/.f64 (expm1.f64 z) (neg.f64 t)) x) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) x) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z))) #s(literal 1000000000000000057857959942726969827393378689175040438172647424 binary64)) (-.f64 x (/.f64 (.f64 y (expm1.f64 z)) t)) x))
(if (<=.f64 z #s(literal -1300000000000000000 binary64)) x (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z #s(literal -1311301502252367/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 t)) x))
(if (<=.f64 z #s(literal -1311301502252367/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) x))
(if (<=.f64 z #s(literal -3147123605405681/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) x (fma.f64 (neg.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) t)) y x))
(if (<=.f64 z #s(literal -3147123605405681/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) x (fma.f64 (/.f64 (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) y x))
(if (<=.f64 z #s(literal -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 t)) x))
(if (<=.f64 z #s(literal -3205403672172453/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) x))
(if (<=.f64 z #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) x (fma.f64 y (/.f64 z (neg.f64 t)) x))
(if (<=.f64 z #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) x (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x))
(if (<=.f64 z #s(literal -839232961441515/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) x (-.f64 x (/.f64 (*.f64 y z) t)))
x

soundness1.3s (6.1%)

Memory

-27.2MiB live, 1 058.1MiB allocated

Rules

15 880×	`accelerator-lowering-fma.f32`
15 880×	`accelerator-lowering-fma.f64`
9 462×	`accelerator-lowering-fma.f32`
9 462×	`accelerator-lowering-fma.f64`
9 394×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	8190
1	2861	7929
0	8514	7037
0	40	199
1	262	187
2	2416	187
0	9134	164
0	586	7207
1	1997	7102
2	6929	7084
0	8062	5889
0	335	2380
1	1012	2276
2	3170	2227
0	8227	1752
0	624	7114
1	2033	6981
2	6259	6898
0	8125	6356

Stop Event

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

Compiler

Compiled 857 to 467 computations (45.5% saved)

preprocess134.0ms (0.6%)

Memory: 9.2MiB live, 128.8MiB allocated
Compiler: Compiled 704 to 246 computations (65.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	55
1	22	55
2	47	55
3	86	55
4	181	55
5	345	55
6	512	55
7	577	55
8	644	55
9	696	55
10	824	55
11	893	55
12	900	55
13	901	55
0	901	40

Iter	Nodes	Cost
0	12	55
1	22	55
2	47	55
3	86	55
4	181	55
5	345	55
6	512	55
7	577	55
8	644	55
9	696	55
10	824	55
11	893	55
12	900	55
13	901	55
0	901	40

analyze386.0ms (1.8%)

sample9.3s (42.9%)

preprocess271.0ms (1.3%)

explain322.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify67.0ms (0.3%)

localize103.0ms (0.5%)

series101.0ms (0.5%)

rewrite669.0ms (3.1%)

simplify583.0ms (2.7%)

eval61.0ms (0.3%)

prune117.0ms (0.5%)

simplify426.0ms (2%)

localize251.0ms (1.2%)

series95.0ms (0.4%)

rewrite450.0ms (2.1%)

simplify506.0ms (2.3%)

eval174.0ms (0.8%)

prune116.0ms (0.5%)

simplify384.0ms (1.8%)

localize278.0ms (1.3%)

series375.0ms (1.7%)

rewrite890.0ms (4.1%)

simplify421.0ms (1.9%)

eval179.0ms (0.8%)

prune168.0ms (0.8%)

simplify310.0ms (1.4%)

localize279.0ms (1.3%)

series198.0ms (0.9%)

rewrite410.0ms (1.9%)

simplify477.0ms (2.2%)

eval170.0ms (0.8%)

prune251.0ms (1.2%)

regimes463.0ms (2.1%)

regimes33.0ms (0.2%)

regimes168.0ms (0.8%)

regimes60.0ms (0.3%)

regimes210.0ms (1%)

regimes91.0ms (0.4%)

regimes40.0ms (0.2%)

regimes25.0ms (0.1%)

regimes9.0ms (0%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch29.0ms (0.1%)

bsearch46.0ms (0.2%)

bsearch50.0ms (0.2%)

bsearch43.0ms (0.2%)

bsearch52.0ms (0.2%)

bsearch47.0ms (0.2%)

simplify18.0ms (0.1%)

soundness1.3s (6.1%)

preprocess134.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	55
1	22	55
2	47	55
3	86	55
4	181	55
5	345	55
6	512	55
7	577	55
8	644	55
9	696	55
10	824	55
11	893	55
12	900	55
13	901	55
0	901	40