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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze660.0ms (4.7%)

Memory

34.9MiB live, 450.8MiB allocated; 848ms collecting garbage

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)

sample5.6s (40.1%)

Memory

58.6MiB live, 5 544.1MiB allocated; 1.1s collecting garbage

Samples

2.3s	4 636×	1	valid
1.5s	1 633×	5	exit
437.0ms	3 620×	0	valid
281.0ms	674×	1	invalid
190.0ms	1 716×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-log: 1.4s (35.2% of total)

ival-exp: 791.0ms (20.3% of total)

adjust: 666.0ms (17.1% of total)

ival-sub: 333.0ms (8.6% of total)

ival-add: 256.0ms (6.6% of total)

ival-div: 231.0ms (5.9% of total)

ival-mult: 219.0ms (5.6% of total)

ival-true: 10.0ms (0.3% of total)

exact: 9.0ms (0.2% of total)

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

Bogosity

explain421.0ms (3%)

Memory

7.4MiB live, 572.9MiB allocated; 93ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
159	47	(-8.177155252469707e-306 3.470667699712936e-226 -2.2730763511565487e-282 8.532445836146364e-111)	0	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
48	6	(-1.055599038918085e-279 -29389.34737018947 -3.802673957746834e-89 -2.0000921361897693e-79)	0	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
18	0	-	5	(1.1267866076434868e+92 -5.135673360281612e-100 1.1947671045586267e-218 -1.4862848568677524e-211)	`(/.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	204	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	26	2
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	2	0
↳	`(exp.f64 z)`	underflow	98
↳	`(*.f64 y (exp.f64 z))`	underflow	98
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	47
`log.f64`	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	oflow-rescue	2	0
↳	`(exp.f64 z)`	overflow	2
↳	`(*.f64 y (exp.f64 z))`	overflow	2
↳	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	overflow	2

Confusion

	Predicted +	Predicted -
+	87	7
-	127	35

Precision

0.40654205607476634

Recall

0.925531914893617

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	87	0	7
-	127	2	33

Precision?

0.4027777777777778

Recall?

0.925531914893617

Freqs

test

number	freq
0	42
1	194
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

157.0ms	302×	1	valid
115.0ms	132×	2	valid
7.0ms	78×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-log: 91.0ms (37.2% of total)

ival-div: 51.0ms (20.9% of total)

adjust: 48.0ms (19.6% of total)

ival-exp: 30.0ms (12.3% of total)

ival-sub: 11.0ms (4.5% of total)

ival-mult: 8.0ms (3.3% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess157.0ms (1.1%)

Memory

44.3MiB live, 176.4MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	194
1	137	194
2	356	192
3	1190	190
4	4104	190
0	12	13
0	19	13
1	31	13
2	63	13
3	183	13
4	544	13
5	3234	13
6	7960	13
0	8058	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.4%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify130.0ms (0.9%)

Memory

-12.7MiB live, 180.8MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
0	19	55
1	31	55
2	63	55
3	183	55
4	544	55
5	3234	55
6	7960	55
0	8058	48

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (1.2%)

Memory

-29.0MiB live, 120.5MiB allocated; 44ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 y (exp.f64 z))
accuracy	3.7995448802352407	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	11.504991374345828	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	35.98532542019023	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

83.0ms	66×	2	valid
61.0ms	151×	1	valid
4.0ms	39×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-log: 87.0ms (67.2% of total)

ival-exp: 15.0ms (11.6% of total)

adjust: 12.0ms (9.3% of total)

ival-sub: 6.0ms (4.6% of total)

ival-div: 4.0ms (3.1% of total)

ival-mult: 3.0ms (2.3% of total)

ival-add: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series139.0ms (1%)

Memory

10.0MiB live, 150.4MiB allocated; 26ms collecting garbage

Counts

5 → 69

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	t	@	-inf	((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
31.0ms	z	@	-inf	((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
27.0ms	z	@	inf	((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
14.0ms	t	@	inf	((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
14.0ms	t	@	0	((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify236.0ms (1.7%)

Memory

24.7MiB live, 250.2MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	1597
1	1079	1468
2	4058	1425
0	9154	1220

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 67

Calls

Call 1

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

rewrite245.0ms (1.7%)

Memory

25.6MiB live, 258.6MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	19	45
1	72	45
2	528	45
3	7195	45
0	8155	41

Stop Event

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

Counts

5 → 188

Calls

Call 1

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

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

eval115.0ms (0.8%)

Memory: -43.6MiB live, 138.6MiB allocated; 82ms collecting garbage
Compiler: Compiled 10 145 to 1 411 computations (86.1% saved)

prune63.0ms (0.4%)

Memory

-26.3MiB live, 72.7MiB allocated; 8ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	240	14	254
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	241	14	255

Accuracy

100.0%

Counts

255 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x)))
▶	37.0%	(-.f64 x (/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y)))) t))
▶	55.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
	55.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
	77.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	65.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	68.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	86.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
▶	71.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	58.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
	83.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
▶	86.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
	20.4%	(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
	20.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))

Compiler

Compiled 714 to 484 computations (32.2% saved)

simplify191.0ms (1.4%)

Memory

34.1MiB live, 167.8MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y)))) t))
cost-diff	1	(log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y))))
cost-diff	4	(fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
cost-diff	0	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
cost-diff	0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
cost-diff	2	(fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(*.f64 (expm1.f64 z) y)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
cost-diff	0	(/.f64 (expm1.f64 z) t)
cost-diff	0	(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff	0	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff	0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	383
0	72	383
1	117	364
2	245	364
3	720	364
4	3312	364
0	8143	330

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (2.7%)

Memory

2.2MiB live, 247.6MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 z)
accuracy	3.7526698802352407	(/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y)))) t)
accuracy	11.508094893179322	(fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y)))
accuracy	21.065877870858387	(log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y))))
accuracy	0.0078125	(fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y))
accuracy	0.7234523200665575	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))
accuracy	3.7526698802352407	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
accuracy	21.065877870858387	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
accuracy	0.00390625	(expm1.f64 z)
accuracy	0.01171875	(*.f64 (expm1.f64 z) y)
accuracy	3.7526698802352407	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	4.480868992230087	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	0.0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy	0.0	(*.f64 z y)
accuracy	3.7526698802352407	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy	5.284741345419691	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy	0.00390625	(expm1.f64 z)
accuracy	0.01953125	(/.f64 (expm1.f64 z) t)
accuracy	1.6419478381492016	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	4.461170034284476	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

178.0ms	56×	2	valid
142.0ms	98×	1	valid
28.0ms	98×	0	exit
1.0ms	4×	0	valid

Compiler

Compiled 309 to 37 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 287.0ms

ival-cosh: 87.0ms (30.3% of total)

ival-log: 75.0ms (26.2% of total)

ival-mult: 37.0ms (12.9% of total)

adjust: 28.0ms (9.8% of total)

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

ival-div: 15.0ms (5.2% of total)

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

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

ival-sinh: 6.0ms (2.1% of total)

const: 4.0ms (1.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series356.0ms (2.5%)

Memory

-8.8MiB live, 273.0MiB allocated; 51ms collecting garbage

Counts

23 → 139

Calls

Call 1

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

Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t))
(- x (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y z)
(* y (+ 1/2 (* 1/6 z)))
1
(+ 1 (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))
(* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1))
(* y (- (+ (* -1/2 (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2))) (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z)))))) 1))
(* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (+ (* 1/2 (- (exp z) (/ 1 (exp z)))) (* y (+ (* -1/2 (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)) (* 1/3 (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3))))))) 1))
(* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (+ (* 1/2 (- (exp z) (/ 1 (exp z)))) (* y (+ (* -1/2 (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 4))) (* 1/3 (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3)))))))) 1))
(+ x (* y (- (/ 1 t) (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t))))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)) t)) (/ 1 t)) (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t))))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3)) t)) (* -1/2 (/ (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2) t)))) (/ 1 t)) (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t))))))
(/ (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)) t)) (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t)))) (/ 1 t)))
(* y (- (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (+ (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t)) (* y (+ (* -1/2 (/ (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2) t)) (* 1/3 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3)) t)))))) (/ 1 t)))
(* y (- (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (+ (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t)) (* y (+ (* -1/2 (/ (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 4)) t)) (* 1/3 (/ (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3) t)))))))) (/ 1 t)))
(+ 1 (* y (- (exp z) 1)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (+ (* 1/2 (- (exp z) (/ 1 (exp z)))) (/ 1 y))) 1))
(+ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))))
(- (+ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1))))) (/ 1/2 (* (pow y 2) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2))))
(- (+ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3))))) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t)))))
(/ (+ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3))))) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2))))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (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))))
(* -1 (* y (- (* -1/6 z) 1/2)))
(* -1 (* y (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))
(* -1 (* y (- (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) (/ 1 y))))
(+ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))))))
(+ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2)))) (/ 1 (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))))) y))))
(+ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2))) (/ 1 (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))) y))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2)))) (/ 1 (* t (* y (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2))))) y)) (/ 1 (* t (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(/ (+ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)) (/ 1 (* t (* y (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2))))) (/ 1 (* t (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))) y)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2)))) (/ 1 (* t (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))))))) y)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* 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)))
(/ 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)))
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* 1/2 y)
(+ (* 1/6 (* y z)) (* 1/2 y))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
z
(* z (+ 1 (* 1/2 z)))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
(* z (+ 1 (* 1/6 (pow z 2))))
(* z (+ 1 (* (pow z 2) (+ 1/6 (* 1/120 (pow z 2))))))
(* z (+ 1 (* (pow z 2) (+ 1/6 (* (pow z 2) (+ 1/120 (* 1/5040 (pow z 2))))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(* 1/6 (* y z))
(* z (+ (* 1/6 y) (* 1/2 (/ y z))))
(- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)
(log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y))
(/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t)
(- (exp z) 1)
(- (+ 1 (* y (exp z))) y)
(* 1/2 (- (exp z) (/ 1 (exp z))))
(* -1 (* z (+ (* -1/2 (/ y z)) (* -1/6 y))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (- (* t x) (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(+ x (* -1 (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t)))

Calls

12 calls:

Time	Variable		Point	Expression
67.0ms	x	@	0	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y))) (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) (- x (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t)) (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t) (- (exp z) 1) (+ (- 1 y) (* y (exp z))) (sinh z))
65.0ms	z	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y))) (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) (- x (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t)) (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t) (- (exp z) 1) (+ (- 1 y) (* y (exp z))) (sinh z))
47.0ms	z	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y))) (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) (- x (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t)) (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t) (- (exp z) 1) (+ (- 1 y) (* y (exp z))) (sinh z))
44.0ms	t	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y))) (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) (- x (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t)) (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t) (- (exp z) 1) (+ (- 1 y) (* y (exp z))) (sinh z))
44.0ms	t	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y))) (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) (- x (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t)) (/ (log (+ (* (cosh z) y) (+ (* (sinh z) y) (- 1 y)))) t) (- (exp z) 1) (+ (- 1 y) (* y (exp z))) (sinh z))

simplify194.0ms (1.4%)

Memory

-16.2MiB live, 314.4MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	4364
1	2185	4125
0	8295	3813

Stop Event

1×	iter limit
1×	node limit

Counts

139 → 137

Calls

Call 1

Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t))
(- x (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
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(* 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))
(* y z)
(* y (+ 1/2 (* 1/6 z)))
1
(+ 1 (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)))
(* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1))
(* y (- (+ (* -1/2 (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2))) (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z)))))) 1))
(* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (+ (* 1/2 (- (exp z) (/ 1 (exp z)))) (* y (+ (* -1/2 (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)) (* 1/3 (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3))))))) 1))
(* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (+ (* 1/2 (- (exp z) (/ 1 (exp z)))) (* y (+ (* -1/2 (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 4))) (* 1/3 (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3)))))))) 1))
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(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3)) t)) (* -1/2 (/ (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2) t)))) (/ 1 t)) (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t))))))
(/ (* y (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2)) t)) (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t)))) (/ 1 t)))
(* y (- (+ (* 1/2 (/ (+ (exp z) (/ 1 (exp z))) t)) (+ (* 1/2 (/ (- (exp z) (/ 1 (exp z))) t)) (* y (+ (* -1/2 (/ (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 2) t)) (* 1/3 (/ (* y (pow (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1) 3)) t)))))) (/ 1 t)))
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(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
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(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (+ (* 1/2 (+ (exp z) (/ 1 (exp z)))) (* 1/2 (- (exp z) (/ 1 (exp z))))) 1)) t)))
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Outputs
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(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (.f64 t y)) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) t) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y)) (/.f64 (-.f64 (log1p.f64 (.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))
(/ (+ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) (* -1 (log (/ -1 y)))) t)
(/.f64 (-.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)) (/ 1 (* t (* y (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))))
(-.f64 (/.f64 (-.f64 (log1p.f64 (.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 t y)) (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2))))) (/ 1 (* t (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))))) y)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))) y) #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))) 2)))) (/ 1 (* t (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z)))))))))) y)) (/ (log (+ 1 (+ (* -1/2 (+ (exp z) (/ 1 (exp z)))) (* -1/2 (- (exp z) (/ 1 (exp z))))))) t)))
(fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) t) (.f64 y y)) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) t) (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 (.f64 (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (exp.f64 z)))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (-.f64 (.f64 (/.f64 (.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (/.f64 z t)) #s(literal -1/6 binary64))) z) (/.f64 y t)) z x)
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) z) #s(literal 1/6 binary64) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) t) z (/.f64 y t)) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) t) z (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 y t)) z)
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) t) z (/.f64 y t)) z)
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(.f64 (fma.f64 (fma.f64 (.f64 z (/.f64 (.f64 z y) t)) #s(literal 1/24 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) t)) z (/.f64 y t)) z)
(/ z t)
(/.f64 z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) t) z (/.f64 #s(literal 1 binary64) t)) z)
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(.f64 (fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) t) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)) z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) z) #s(literal 1/6 binary64) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* 1/2 (* y z))))
(.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 z y) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/6 (* y z)) (* 1/2 y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64))
z
(* z (+ 1 (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)
(* z (+ 1 (* 1/6 (pow z 2))))
(.f64 (fma.f64 (.f64 z z) #s(literal 1/6 binary64) #s(literal 1 binary64)) z)
(* z (+ 1 (* (pow z 2) (+ 1/6 (* 1/120 (pow z 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 z z) #s(literal 1/6 binary64)) (*.f64 z z) #s(literal 1 binary64)) z)
(* z (+ 1 (* (pow z 2) (+ 1/6 (* (pow z 2) (+ 1/120 (* 1/5040 (pow z 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 z z) #s(literal 1/120 binary64)) (.f64 z z) #s(literal 1/6 binary64)) (.f64 z z) #s(literal 1 binary64)) z)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(/ (- (exp z) 1) t)
(/.f64 (expm1.f64 z) t)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(* 1/6 (* y z))
(.f64 (.f64 #s(literal 1/6 binary64) z) y)
(* z (+ (* 1/6 y) (* 1/2 (/ y z))))
(.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) y)) z)
(- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z))) (-.f64 #s(literal 1 binary64) y))
(log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y))
(log1p.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z)))) y))
(/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t)
(/.f64 (log1p.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z)))) y)) t)
(- (exp z) 1)
(expm1.f64 z)
(- (+ 1 (* y (exp z))) y)
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)
(* 1/2 (- (exp z) (/ 1 (exp z))))
(*.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) #s(literal 1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ y z)) (* -1/6 y))))
(.f64 (neg.f64 z) (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (.f64 t x) (log1p.f64 (-.f64 (.f64 (exp.f64 z) y) y))) t)
(/ (- (* t x) (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y))) t)
(/.f64 (-.f64 (.f64 t x) (log1p.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z)))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (+ (* 1/2 (* y (+ (exp z) (/ 1 (exp z))))) (* 1/2 (* y (- (exp z) (/ 1 (exp z))))))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) (+.f64 (-.f64 (exp.f64 z) (exp.f64 (neg.f64 z))) (+.f64 (exp.f64 (neg.f64 z)) (exp.f64 z)))) y)) t))

rewrite154.0ms (1.1%)

Memory

32.0MiB live, 220.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	314
0	72	314
1	273	297
2	2137	297
0	8133	276

Stop Event

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

Counts

23 → 321

Calls

Call 1

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

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

eval94.0ms (0.7%)

Memory: -35.7MiB live, 161.3MiB allocated; 29ms collecting garbage
Compiler: Compiled 20 764 to 2 697 computations (87% saved)

prune45.0ms (0.3%)

Memory

1.9MiB live, 49.2MiB allocated; 3ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	465	10	475
Fresh	2	7	9
Picked	2	3	5
Done	0	0	0
Total	469	20	489

Accuracy

100.0%

Counts

489 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
	37.1%	(-.f64 x (/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 #s(approx (sinh z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 z z) #s(literal 1/6 binary64)) (*.f64 z z) #s(literal 1 binary64)) z)) y (-.f64 #s(literal 1 binary64) y)))) t))
	55.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
▶	55.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	77.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	65.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
▶	68.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	86.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) t))
✓	86.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	71.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	64.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
▶	83.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
	61.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (-.f64 (.f64 (exp.f64 z) t) (.f64 t #s(literal 1 binary64))) (.f64 t t)) y)))
▶	86.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)) y)))
✓	86.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
▶	71.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	64.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
	63.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z))))
	20.4%	(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
	20.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))

Compiler

Compiled 1 045 to 707 computations (32.3% saved)

simplify177.0ms (1.3%)

Memory

38.2MiB live, 212.7MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	494
0	89	494
1	160	494
2	411	494
3	1472	494
4	7452	494
0	8380	463

Stop Event

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

Calls

Call 1

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

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

localize442.0ms (3.2%)

Memory

5.5MiB live, 385.8MiB allocated; 95ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t)
accuracy	1.001019964688418	(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z))
accuracy	1.7044478381492016	(.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)
accuracy	13.079309054272484	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y))
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
accuracy	3.7995448802352407	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t)
accuracy	22.436168313307544	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))
accuracy	35.98532542019023	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))))
accuracy	0.0	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
accuracy	3.7995448802352407	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
accuracy	12.62052851804568	#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
accuracy	35.98532542019023	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
accuracy	0.0	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
accuracy	1.7161665881492016	(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy	12.52586900398609	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy	24.944467351649642	#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy	0.109375	(*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)
accuracy	0.5937479358302058	(/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))
accuracy	1.7161665881492016	(.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)) y)
accuracy	12.52586900398609	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)) y))

Samples

243.0ms	138×	1	valid
99.0ms	75×	2	valid
49.0ms	4×	3	valid
12.0ms	39×	0	valid

Compiler

Compiled 378 to 44 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 314.0ms

ival-mult: 74.0ms (23.6% of total)

ival-add: 58.0ms (18.5% of total)

adjust: 54.0ms (17.2% of total)

const: 40.0ms (12.7% of total)

ival-log: 34.0ms (10.8% of total)

ival-exp: 19.0ms (6% of total)

ival-div: 15.0ms (4.8% of total)

ival-expm1: 9.0ms (2.9% of total)

ival-sub: 6.0ms (1.9% of total)

ival-pow2: 5.0ms (1.6% of total)

exact: 1.0ms (0.3% of total)

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

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

series148.0ms (1.1%)

Memory

-16.7MiB live, 84.3MiB allocated; 49ms collecting garbage

Counts

24 → 114

Calls

Call 1

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

Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(/ (- (exp z) 1) t)
(- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))
(/ (* y (- (exp (* 3 z)) 1)) (* t (+ 1 (+ (exp z) (pow (exp z) 2)))))
(- (exp z) 1)
(- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1/2 (/ (* (pow y 2) (pow (- (exp z) 1) 2)) t))
(* (pow y 2) (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (exp z) (* t y))) (/ 1 (* t y))))
(* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t))
(* y (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (exp z) (* t y))) (/ 1 (* t y))))
(* -1/2 (* y (pow (- (exp z) 1) 2)))
(* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (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))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (* y (+ (* -1 (/ (- (/ (exp z) t) (/ 1 t)) y)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))
(* -1 (* y (+ (* -1 (/ (- (exp z) 1) y)) (* 1/2 (pow (- (exp z) 1) 2)))))
(* 3 t)
(+ (* 3 t) (* 3 (* t z)))
(+ (* 3 t) (* z (+ (* 5/2 (* t z)) (* 3 t))))
(+ (* 3 t) (* z (+ (* 3 t) (* z (+ (* 3/2 (* t z)) (* 5/2 t))))))
3
(+ 3 (* 3 z))
(+ 3 (* z (+ 3 (* 5/2 z))))
(+ 3 (* z (+ 3 (* z (+ 5/2 (* 3/2 z))))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* 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)))
(/ 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)))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* z (+ (/ y t) (/ (* y (* z (+ 1/2 (* -1/2 y)))) t)))
(* z (+ (* z (+ (/ (* y (* z (+ 1/6 (* -1/2 y)))) t) (/ (* y (+ 1/2 (* -1/2 y))) t))) (/ y t)))
(* z (+ (* z (+ (* z (+ (/ (* y (* z (+ 1/24 (* -7/24 y)))) t) (/ (* y (+ 1/6 (* -1/2 y))) t))) (/ (* y (+ 1/2 (* -1/2 y))) t))) (/ y t)))
(* z (+ (* z (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* -1/2 (/ y t)) (+ (* 1/2 (/ 1 t)) (* z (+ (* -1/2 (/ y t)) (* 1/6 (/ 1 t))))))) (/ 1 t)))
(* z (+ (* z (+ (* -1/2 (/ y t)) (+ (* 1/2 (/ 1 t)) (* z (+ (* -1/2 (/ y t)) (+ (* 1/6 (/ 1 t)) (* z (+ (* -7/24 (/ y t)) (* 1/24 (/ 1 t)))))))))) (/ 1 t)))
(* z (+ (* z (- (* 3/2 (/ y t)) (/ y t))) (/ y t)))
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (/ y t) (* 5/6 (/ y t))))) (/ y t))) (/ y t)))
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (+ (* z (- (+ (* 5/6 (/ y t)) (* 9/8 (/ y t))) (+ (* 1/2 (/ y t)) (+ (* 5/6 (- (* 3/2 (/ y t)) (/ y t))) (/ y t))))) (/ y t)) (* 5/6 (/ y t))))) (/ y t))) (/ y t)))
1/2
(+ 1/2 (* 1/6 z))
z
(* z (+ 1 (* z (+ 1/2 (* -1/2 y)))))
(* z (+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* -1/2 y))))))))
(* z (+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (+ (* -1/2 y) (* z (+ 1/24 (* -7/24 y)))))))))))
(* t (+ 1 (+ (exp z) (pow (exp z) 2))))
(+ 1 (+ (exp z) (pow (exp z) 2)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(/ (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) t)
(/ (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1) t)
(/ (- (exp (* 3 z)) 1) (* t (+ 1 (+ (exp z) (pow (exp z) 2)))))
(* 1/6 z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))

Calls

12 calls:

Time	Variable		Point	Expression
66.0ms	t	@	-inf	((* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t) (+ (* (exp z) (exp z)) (+ (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) y) (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) (+ (* 1/6 z) 1/2) (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)))
22.0ms	z	@	inf	((* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t) (+ (* (exp z) (exp z)) (+ (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) y) (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) (+ (* 1/6 z) 1/2) (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)))
14.0ms	t	@	inf	((* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t) (+ (* (exp z) (exp z)) (+ (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) y) (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) (+ (* 1/6 z) 1/2) (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)))
12.0ms	z	@	-inf	((* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t) (+ (* (exp z) (exp z)) (+ (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) y) (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) (+ (* 1/6 z) 1/2) (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)))
11.0ms	t	@	0	((* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t) (+ (* (exp z) (exp z)) (+ (exp z) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) y) (/ (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) (+ (* 1/6 z) 1/2) (+ (* (* -1/2 y) (pow (- (exp z) 1) 2)) (- (exp z) 1)))

simplify198.0ms (1.4%)

Memory

42.3MiB live, 131.6MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	540	2375
1	1875	2197
2	7202	2145
0	8215	1809

Stop Event

1×	iter limit
1×	node limit

Counts

114 → 112

Calls

Call 1

Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(/ (- (exp z) 1) t)
(- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t))
(/ (* y (- (exp (* 3 z)) 1)) (* t (+ 1 (+ (exp z) (pow (exp z) 2)))))
(- (exp z) 1)
(- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
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(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1/2 (/ (* (pow y 2) (pow (- (exp z) 1) 2)) t))
(* (pow y 2) (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (exp z) (* t y))) (/ 1 (* t y))))
(* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t))
(* y (- (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (/ (exp z) (* t y))) (/ 1 (* t y))))
(* -1/2 (* y (pow (- (exp z) 1) 2)))
(* y (- (+ (* -1/2 (pow (- (exp z) 1) 2)) (/ (exp z) y)) (/ 1 y)))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
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(+ (* -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)))
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3
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(/ (* y z) t)
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(* 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)))
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(* y z)
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(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
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1/2
(+ 1/2 (* 1/6 z))
z
(* z (+ 1 (* z (+ 1/2 (* -1/2 y)))))
(* z (+ 1 (* z (+ 1/2 (+ (* -1/2 y) (* z (+ 1/6 (* -1/2 y))))))))
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(* t (+ 1 (+ (exp z) (pow (exp z) 2))))
(+ 1 (+ (exp z) (pow (exp z) 2)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(/ (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1)) t)
(/ (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1) t)
(/ (- (exp (* 3 z)) 1) (* t (+ 1 (+ (exp z) (pow (exp z) 2)))))
(* 1/6 z)
(* z (+ 1/6 (* 1/2 (/ 1 z))))
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Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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x
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(+ x (* y (- (/ 1 t) (/ (exp z) t))))
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(/ (* y (- (exp z) 1)) t)
(/.f64 (*.f64 (expm1.f64 z) y) t)
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1
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(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y) (*.f64 (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)) t))
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(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (/.f64 (expm1.f64 z) y)) y)
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(+ (* 3 t) (* z (+ (* 3 t) (* z (+ (* 3/2 (* t z)) (* 5/2 t))))))
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3
#s(literal 3 binary64)
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(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
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(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
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(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
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(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
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(* z (+ (* z (+ (* z (+ (/ (* y (* z (+ 1/24 (* -7/24 y)))) t) (/ (* y (+ 1/6 (* -1/2 y))) t))) (/ (* y (+ 1/2 (* -1/2 y))) t))) (/ y t)))
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(* z (+ (* z (+ (* -1/2 (/ y t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) z)
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(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) t) z (/.f64 #s(literal 1 binary64) t)) z)
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(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) y #s(literal 1/24 binary64)) z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/6 binary64))) t) z (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t)) z (/.f64 #s(literal 1 binary64) t)) z)
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(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (+ (* z (- (+ (* 5/6 (/ y t)) (* 9/8 (/ y t))) (+ (* 1/2 (/ y t)) (+ (* 5/6 (- (* 3/2 (/ y t)) (/ y t))) (/ y t))))) (/ y t)) (* 5/6 (/ y t))))) (/ y t))) (/ y t)))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 z))
(fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))
z
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(- (+ 1 (* y (exp z))) y)
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(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y) t)
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) t)
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(* 1/6 z)
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(* z (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 1/6 binary64)) z)
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(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))

rewrite504.0ms (3.6%)

Memory

-65.7MiB live, 277.9MiB allocated; 811ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	416
0	89	416
1	337	368
2	2561	368
0	8534	352

Stop Event

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

Counts

24 → 388

Calls

Call 1

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

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

eval129.0ms (0.9%)

Memory: -3.3MiB live, 135.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 24 076 to 2 979 computations (87.6% saved)

prune37.0ms (0.3%)

Memory

-3.1MiB live, 50.6MiB allocated; 5ms collecting garbage

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	492	4	496
Fresh	2	10	12
Picked	1	4	5
Done	0	3	3
Total	495	21	516

Accuracy

100.0%

Counts

516 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
	37.1%	(-.f64 x (/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 #s(approx (sinh z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 z z) #s(literal 1/6 binary64)) (*.f64 z z) #s(literal 1 binary64)) z)) y (-.f64 #s(literal 1 binary64) y)))) t))
▶	55.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
✓	55.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	77.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	65.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	68.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
✓	86.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	71.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	64.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
▶	86.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))))
✓	83.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
	77.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))) t)) y)))
	77.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)) t)) y)))
✓	86.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
✓	71.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	64.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
▶	64.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t)) z (/.f64 y t)) z))))
▶	63.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z))))
	20.4%	(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
▶	20.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))

Compiler

Compiled 1 088 to 706 computations (35.1% saved)

simplify103.0ms (0.7%)

Memory

2.7MiB live, 95.9MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	590
0	101	581
1	195	564
2	460	564
3	1585	564
0	8223	547

Stop Event

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

Calls

Call 1

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

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

localize555.0ms (4%)

Memory

7.2MiB live, 596.3MiB allocated; 120ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4841241041082058	(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
accuracy	3.7995448802352407	(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
accuracy	22.962271726920285	(-.f64 (*.f64 (exp.f64 z) y) y)
accuracy	42.236380459981895	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
accuracy	0.03515625	(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
accuracy	3.7995448802352407	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
accuracy	22.163488562013747	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
accuracy	35.98532542019023	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
accuracy	5.359232846928297	(fma.f64 (-.f64 (*.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t)) z (/.f64 y t))
accuracy	6.054970263017479	(-.f64 (*.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t))
accuracy	12.52586900398609	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t)) z (/.f64 y t)) z)))
accuracy	24.655202913663537	#s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t)) z (/.f64 y t)) z))
accuracy	0.5421512982654838	(/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t)
accuracy	3.367328422404566	(.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z)
accuracy	12.52586900398609	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z)))
accuracy	24.655202913663537	#s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z))
accuracy	0.078125	(.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y)
accuracy	0.109375	(*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))
accuracy	4.178644386338642	(/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))
accuracy	12.52586900398609	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64)))))

Samples

279.0ms	79×	2	valid
217.0ms	138×	1	valid
14.0ms	39×	0	valid

Compiler

Compiled 380 to 54 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-mult: 112.0ms (33.6% of total)

adjust: 45.0ms (13.5% of total)

ival-sub: 41.0ms (12.3% of total)

ival-log: 35.0ms (10.5% of total)

ival-add: 27.0ms (8.1% of total)

ival-expm1: 22.0ms (6.6% of total)

ival-exp: 21.0ms (6.3% of total)

ival-div: 20.0ms (6% of total)

ival-log1p: 8.0ms (2.4% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series177.0ms (1.3%)

Memory

34.4MiB live, 231.5MiB allocated; 49ms collecting garbage

Counts

25 → 141

Calls

Call 1

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

Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(/ (* y (- (exp (* 3 z)) 1)) (* t (+ 1 (* (exp z) (+ 1 (exp z))))))
(/ (* y (* z (+ 1 (* 1/2 z)))) t)
(/ (* y (- (exp (* 3 z)) 1)) (* t (+ 1 (+ (exp z) (pow (exp z) 2)))))
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(* -1 (/ (* y (- (exp z) 1)) t))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t))))))))
(* y (- (exp (* 3 z)) 1))
(/ (* y (+ 1 (* 1/2 z))) t)
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(* -1 (/ (* y (* z (- (* -1/2 z) 1))) t))
(* -1 (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
(+ (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))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)))
(* -1 (/ (* y (- (* -1/2 z) 1)) t))
(* -1 (* y (- (* -1/2 (/ z t)) (/ 1 t))))
(* -1 (* y (* z (- (* -1/2 z) 1))))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(* 3 t)
(+ (* 3 t) (* 3 (* t z)))
(+ (* 3 t) (* z (+ (* 5/2 (* t z)) (* 3 t))))
(+ (* 3 t) (* z (+ (* 3 t) (* z (+ (* 3/2 (* t z)) (* 5/2 t))))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* z (+ (* z (- (* 3/2 (/ y t)) (/ y t))) (/ y t)))
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (/ y t) (* 5/6 (/ y t))))) (/ y t))) (/ y t)))
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (+ (* z (- (+ (* 5/6 (/ y t)) (* 9/8 (/ y t))) (+ (* 1/2 (/ y t)) (+ (* 5/6 (- (* 3/2 (/ y t)) (/ y t))) (/ y t))))) (/ y t)) (* 5/6 (/ y t))))) (/ y t))) (/ y 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 z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* -1 (/ (* y z) t))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(* 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))))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(* 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)))))))
(* 3 (* y z))
(* z (+ (* 3 y) (* 9/2 (* y z))))
(* z (+ (* 3 y) (* z (+ (* 9/2 y) (* 9/2 (* y z))))))
(* z (+ (* 3 y) (* z (+ (* 9/2 y) (* z (+ (* 27/8 (* y z)) (* 9/2 y)))))))
(/ y t)
(+ (* 1/2 (/ (* y z) t)) (/ y t))
(+ (* z (- (* 3/2 (/ y t)) (/ y t))) (/ y t))
(* t (+ 1 (* (exp z) (+ 1 (exp z)))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(* 1/2 (/ (* y (pow z 2)) t))
(* (pow z 2) (+ (* 1/2 (/ y t)) (/ y (* t z))))
(* (pow z 2) (- (* 3/2 (/ y t)) (/ y t)))
(* (pow z 2) (- (+ (* 3/2 (/ y t)) (/ y (* t z))) (/ y t)))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(- (* y (exp z)) y)
(* 1/2 (/ (* y z) t))
(* z (+ (* 1/2 (/ y t)) (/ y (* t z))))
(* z (- (* 3/2 (/ y t)) (/ y t)))
(* z (- (+ (* 3/2 (/ y t)) (/ y (* t z))) (/ y t)))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ y t)))))
(* -1 (* z (+ (* -1 (- (* 3/2 (/ y t)) (/ y t))) (* -1 (/ y (* t z))))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* z (- (* 3/2 y) y)))) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (- (* 3/2 y) y) t)
(/ (+ y (* z (- (* 3/2 y) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (* z (+ (* -1 y) (* z (- (* -3/2 y) (* -1 y))))) t))
(* -1 (/ (- (* -3/2 y) (* -1 y)) t))
(* -1 (/ (+ (* -1 y) (* z (- (* -3/2 y) (* -1 y)))) t))

Calls

12 calls:

Time	Variable		Point	Expression
87.0ms	y	@	-inf	((* t (+ (* (+ 1 (exp z)) (exp z)) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (* (- (exp (* 3 z)) 1) y) (/ (+ (* (* z y) 1/2) y) t) (- (* (/ y t) 3/2) (/ y t)) (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (+ (* (+ (* (* z y) 1/2) y) z) 1))
15.0ms	t	@	inf	((* t (+ (* (+ 1 (exp z)) (exp z)) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (* (- (exp (* 3 z)) 1) y) (/ (+ (* (* z y) 1/2) y) t) (- (* (/ y t) 3/2) (/ y t)) (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (+ (* (+ (* (* z y) 1/2) y) z) 1))
15.0ms	t	@	-inf	((* t (+ (* (+ 1 (exp z)) (exp z)) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (* (- (exp (* 3 z)) 1) y) (/ (+ (* (* z y) 1/2) y) t) (- (* (/ y t) 3/2) (/ y t)) (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (+ (* (+ (* (* z y) 1/2) y) z) 1))
13.0ms	z	@	-inf	((* t (+ (* (+ 1 (exp z)) (exp z)) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (* (- (exp (* 3 z)) 1) y) (/ (+ (* (* z y) 1/2) y) t) (- (* (/ y t) 3/2) (/ y t)) (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (+ (* (+ (* (* z y) 1/2) y) z) 1))
12.0ms	t	@	0	((* t (+ (* (+ 1 (exp z)) (exp z)) 1)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (+ (* (* z y) 1/2) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (* (- (exp (* 3 z)) 1) y) (/ (+ (* (* z y) 1/2) y) t) (- (* (/ y t) 3/2) (/ y t)) (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (+ (* (+ (* (* z y) 1/2) y) z) 1))

simplify187.0ms (1.3%)

Memory

-8.5MiB live, 132.1MiB allocated; 81ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	580	2883
1	2015	2670
2	7557	2599
0	8289	2275

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 140

Calls

Call 1

Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(/ (* y (- (exp (* 3 z)) 1)) (* t (+ 1 (* (exp z) (+ 1 (exp z))))))
(/ (* y (* z (+ 1 (* 1/2 z)))) t)
(/ (* y (- (exp (* 3 z)) 1)) (* t (+ 1 (+ (exp z) (pow (exp z) 2)))))
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(* -1 (/ (* y (- (exp z) 1)) t))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t))))))))
(* y (- (exp (* 3 z)) 1))
(/ (* y (+ 1 (* 1/2 z))) t)
(* 1/2 (/ y t))
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(* -1 (/ (* y (* z (- (* -1/2 z) 1))) t))
(* -1 (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))
(+ (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))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)))
(* -1 (/ (* y (- (* -1/2 z) 1)) t))
(* -1 (* y (- (* -1/2 (/ z t)) (/ 1 t))))
(* -1 (* y (* z (- (* -1/2 z) 1))))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(* 3 t)
(+ (* 3 t) (* 3 (* t z)))
(+ (* 3 t) (* z (+ (* 5/2 (* t z)) (* 3 t))))
(+ (* 3 t) (* z (+ (* 3 t) (* z (+ (* 3/2 (* t z)) (* 5/2 t))))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* z (+ (* z (- (* 3/2 (/ y t)) (/ y t))) (/ y t)))
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (/ y t) (* 5/6 (/ y t))))) (/ y t))) (/ y t)))
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (+ (* z (- (+ (* 5/6 (/ y t)) (* 9/8 (/ y t))) (+ (* 1/2 (/ y t)) (+ (* 5/6 (- (* 3/2 (/ y t)) (/ y t))) (/ y t))))) (/ y t)) (* 5/6 (/ y t))))) (/ y t))) (/ y 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 z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* -1 (/ (* y z) t))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(* 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))))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(* 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)))))))
(* 3 (* y z))
(* z (+ (* 3 y) (* 9/2 (* y z))))
(* z (+ (* 3 y) (* z (+ (* 9/2 y) (* 9/2 (* y z))))))
(* z (+ (* 3 y) (* z (+ (* 9/2 y) (* z (+ (* 27/8 (* y z)) (* 9/2 y)))))))
(/ y t)
(+ (* 1/2 (/ (* y z) t)) (/ y t))
(+ (* z (- (* 3/2 (/ y t)) (/ y t))) (/ y t))
(* t (+ 1 (* (exp z) (+ 1 (exp z)))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(* 1/2 (/ (* y (pow z 2)) t))
(* (pow z 2) (+ (* 1/2 (/ y t)) (/ y (* t z))))
(* (pow z 2) (- (* 3/2 (/ y t)) (/ y t)))
(* (pow z 2) (- (+ (* 3/2 (/ y t)) (/ y (* t z))) (/ y t)))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(- (* y (exp z)) y)
(* 1/2 (/ (* y z) t))
(* z (+ (* 1/2 (/ y t)) (/ y (* t z))))
(* z (- (* 3/2 (/ y t)) (/ y t)))
(* z (- (+ (* 3/2 (/ y t)) (/ y (* t z))) (/ y t)))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ y t)))))
(* -1 (* z (+ (* -1 (- (* 3/2 (/ y t)) (/ y t))) (* -1 (/ y (* t z))))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/ (* z (+ y (* z (- (* 3/2 y) y)))) t)
(/ (+ y (* 1/2 (* y z))) t)
(/ (- (* 3/2 y) y) t)
(/ (+ y (* z (- (* 3/2 y) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (* z (+ (* -1 y) (* z (- (* -3/2 y) (* -1 y))))) t))
(* -1 (/ (- (* -3/2 y) (* -1 y)) t))
(* -1 (/ (+ (* -1 y) (* z (- (* -3/2 y) (* -1 y)))) t))

Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (-.f64 (.f64 (exp.f64 z) y) y)) (.f64 x t)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (.f64 (exp.f64 z) y) y)) (*.f64 x t)) #s(literal 1 binary64)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64)) y (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y #s(literal 1 binary64))) t) (/.f64 (exp.f64 z) t)) y x)
(/ (* y (- (exp z) 1)) t)
(*.f64 (/.f64 (expm1.f64 z) t) y)
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(.f64 (neg.f64 y) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t))
(* -1 (* y (* z (- (* -1/2 z) 1))))
(.f64 (.f64 (neg.f64 y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(.f64 (neg.f64 y) (-.f64 (.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) y)))
(* 3 t)
(*.f64 #s(literal 3 binary64) t)
(+ (* 3 t) (* 3 (* t z)))
(*.f64 (fma.f64 z t t) #s(literal 3 binary64))
(+ (* 3 t) (* z (+ (* 5/2 (* t z)) (* 3 t))))
(fma.f64 (fma.f64 #s(literal 5/2 binary64) (.f64 z t) (.f64 #s(literal 3 binary64) t)) z (*.f64 #s(literal 3 binary64) t))
(+ (* 3 t) (* z (+ (* 3 t) (* z (+ (* 3/2 (* t z)) (* 5/2 t))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (.f64 z t) (.f64 #s(literal 5/2 binary64) t)) z (.f64 #s(literal 3 binary64) t)) z (.f64 #s(literal 3 binary64) t))
(+ x (* -1 (/ (* y z) t)))
(fma.f64 (neg.f64 y) (/.f64 z t) x)
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (-.f64 (.f64 (.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64)) z) (/.f64 y t)) z x)
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(fma.f64 (-.f64 (.f64 (/.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal -1/2 binary64) (.f64 z (.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64)))) t) z) (/.f64 y t)) z x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(.f64 (/.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) t) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) z (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) t) z (/.f64 y t)) z)
(* z (+ (* z (- (* 3/2 (/ y t)) (/ y t))) (/ y t)))
(/.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) z y) z) t)
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (/ y t) (* 5/6 (/ y t))))) (/ y t))) (/ y t)))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) y (-.f64 (*.f64 #s(literal 3/2 binary64) y) y)) t) z (/.f64 y t)) z)
(* z (+ (* z (- (+ (* 3/2 (/ y t)) (* z (- (+ (* z (- (+ (* 5/6 (/ y t)) (* 9/8 (/ y t))) (+ (* 1/2 (/ y t)) (+ (* 5/6 (- (* 3/2 (/ y t)) (/ y t))) (/ y t))))) (/ y t)) (* 5/6 (/ y t))))) (/ y t))) (/ y t)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 y t) #s(literal 35/24 binary64)) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) #s(literal 5/6 binary64) y) t)) z (.f64 #s(literal 1/6 binary64) (/.f64 y t))) z (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) t)) z (/.f64 y t)) z)
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) t)
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z)
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y z) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) t) z (/.f64 y t)) z)
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) z (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(+ 1 (* y z))
(fma.f64 y z #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(* -1 (/ (* y z) t))
(*.f64 (neg.f64 y) (/.f64 z t))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(.f64 (/.f64 (fma.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) t) z)
(* 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))))))
(.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (.f64 y y)) #s(literal -1/2 binary64) (.f64 z (.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64)))) t) z (/.f64 (neg.f64 y) t)) z)
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (.f64 y y) #s(literal -7 binary64) (.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (.f64 (fma.f64 (.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64))) t) z (.f64 (/.f64 (-.f64 y (.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z)
(* z (+ y (* 1/2 (* y z))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y z) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z)
(* 3 (* y z))
(.f64 (.f64 #s(literal 3 binary64) y) z)
(* z (+ (* 3 y) (* 9/2 (* y z))))
(.f64 (fma.f64 #s(literal 9/2 binary64) (.f64 y z) (*.f64 #s(literal 3 binary64) y)) z)
(* z (+ (* 3 y) (* z (+ (* 9/2 y) (* 9/2 (* y z))))))
(.f64 (fma.f64 (.f64 z #s(literal 9/2 binary64)) (fma.f64 y z y) (*.f64 #s(literal 3 binary64) y)) z)
(* z (+ (* 3 y) (* z (+ (* 9/2 y) (* z (+ (* 27/8 (* y z)) (* 9/2 y)))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/8 binary64) (.f64 y z) (.f64 #s(literal 9/2 binary64) y)) z (.f64 #s(literal 9/2 binary64) y)) z (*.f64 #s(literal 3 binary64) y)) z)
(/ y t)
(/.f64 y t)
(+ (* 1/2 (/ (* y z) t)) (/ y t))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y)
(+ (* z (- (* 3/2 (/ y t)) (/ y t))) (/ y t))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) z y) t)
(* t (+ 1 (* (exp z) (+ 1 (exp z)))))
(*.f64 (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(* 1/2 (/ (* y (pow z 2)) t))
(.f64 (.f64 (*.f64 (/.f64 y t) z) #s(literal 1/2 binary64)) z)
(* (pow z 2) (+ (* 1/2 (/ y t)) (/ y (* t z))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) t) (.f64 z z))
(* (pow z 2) (- (* 3/2 (/ y t)) (/ y t)))
(/.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) z) z) t)
(* (pow z 2) (- (+ (* 3/2 (/ y t)) (/ y (* t z))) (/ y t)))
(.f64 (/.f64 (+.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 3/2 binary64) y) y)) t) (*.f64 z z))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(- (+ 1 (* y (exp z))) y)
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)
(- (* y (exp z)) y)
(-.f64 (*.f64 (exp.f64 z) y) y)
(* 1/2 (/ (* y z) t))
(.f64 (.f64 (/.f64 y t) z) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (/ y t)) (/ y (* t z))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) t) z)
(* z (- (* 3/2 (/ y t)) (/ y t)))
(.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) (/.f64 z t))
(* z (- (+ (* 3/2 (/ y t)) (/ y (* t z))) (/ y t)))
(.f64 (/.f64 (+.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 3/2 binary64) y) y)) t) z)
(* 1/2 (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y) z)) (.f64 z z))
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ y t)))))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 y) z)) t))
(* -1 (* z (+ (* -1 (- (* 3/2 (/ y t)) (/ y t))) (* -1 (/ y (* t z))))))
(.f64 (neg.f64 z) (neg.f64 (/.f64 (+.f64 (/.f64 y z) (-.f64 (.f64 #s(literal 3/2 binary64) y) y)) t)))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (.f64 z z))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (.f64 x t) (log1p.f64 (-.f64 (.f64 (exp.f64 z) y) y))) t)
(/ (* z (+ y (* 1/2 (* y z)))) t)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y) t)
(/ (* z (+ y (* z (- (* 3/2 y) y)))) t)
(/.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) z y) z) t)
(/ (+ y (* 1/2 (* y z))) t)
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y)
(/ (- (* 3/2 y) y) t)
(/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) t)
(/ (+ y (* z (- (* 3/2 y) y))) t)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) z y) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
(* -1 (/ (* z (+ (* -1 y) (* z (- (* -3/2 y) (* -1 y))))) t))
(.f64 (neg.f64 z) (/.f64 (-.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) z) y) t))
(* -1 (/ (- (* -3/2 y) (* -1 y)) t))
(/.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) t)
(* -1 (/ (+ (* -1 y) (* z (- (* -3/2 y) (* -1 y)))) t))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) y) (neg.f64 t))

rewrite243.0ms (1.7%)

Memory

0.9MiB live, 228.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	510
0	101	501
1	424	418
2	3196	418
0	9501	396

Stop Event

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

Counts

25 → 261

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)) t)
(*.f64 t (fma.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (+.f64 (log1p.f64 (exp.f64 z)) z) #s(literal 2 binary64))) t) (-.f64 (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (exp.f64 z)) #s(literal 1 binary64)))
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(/.f64 (fma.f64 y (.f64 #s(literal 5/2 binary64) (/.f64 y t)) (.f64 t (.f64 z (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t))))) (.f64 t (.f64 #s(literal 5/2 binary64) (/.f64 y t))))
(/.f64 (fma.f64 y (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (.f64 (/.f64 y t) (.f64 #s(literal 5/2 binary64) (/.f64 y t)))) (.f64 t (.f64 z (-.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 (/.f64 y t) #s(literal 3 binary64))) (pow.f64 (/.f64 y t) #s(literal 3 binary64)))))) (.f64 t (fma.f64 #s(literal 9/4 binary64) (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (.f64 (/.f64 y t) (.f64 #s(literal 5/2 binary64) (/.f64 y t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64))) (-.f64 (/.f64 y t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) (/.f64 y t))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y t) (-.f64 (/.f64 y t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64)) (pow.f64 (/.f64 y t) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) (/.f64 y t)))
(/.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64)) (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) (*.f64 z (/.f64 y t))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 3 binary64))) (fma.f64 (/.f64 y t) (-.f64 (/.f64 y t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) t) z (/.f64 y t))
(fma.f64 z (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) t) (/.f64 y t))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) (/.f64 y t))) (/.f64 (pow.f64 (/.f64 y t) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) (/.f64 y t))))
(-.f64 (/.f64 y t) (.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t)) z))
(-.f64 (/.f64 y t) (.f64 (neg.f64 z) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 3 binary64)) (fma.f64 (/.f64 y t) (-.f64 (/.f64 y t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (fma.f64 (/.f64 y t) (-.f64 (/.f64 y t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z)) (pow.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z) (/.f64 y t))
(+.f64 (/.f64 y t) (.f64 (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t) z))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z)) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) (.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))
(fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y)) z))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z)) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) z))

eval69.0ms (0.5%)

Memory: 27.1MiB live, 123.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 19 327 to 2 272 computations (88.2% saved)

prune35.0ms (0.3%)

Memory

-15.2MiB live, 73.9MiB allocated; 12ms collecting garbage

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	381	13	394
Fresh	1	8	9
Picked	4	1	5
Done	3	4	7
Total	389	26	415

Accuracy

100.0%

Counts

415 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
	37.1%	(-.f64 x (/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 #s(approx (sinh z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 z z) #s(literal 1/6 binary64)) (*.f64 z z) #s(literal 1 binary64)) z)) y (-.f64 #s(literal 1 binary64) y)))) t))
✓	55.7%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
	77.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	65.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	68.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
✓	86.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
✓	71.5%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	64.1%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
	77.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y) #s(approx (* t (+ (* (+ 1 (exp z)) (exp z)) 1)) (*.f64 #s(literal 3 binary64) t)))))
	77.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))) t)) y)))
	77.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)) t)) y)))
	70.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
	64.1%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) z y) z) t))))
	41.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t)) z) t (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) y)) (.f64 (*.f64 #s(literal 5/2 binary64) (/.f64 y t)) t)) z))))
	63.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 #s(approx (+ ( (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y)) z))))
	53.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) #s(approx (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (/.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) z) z) t)))))
	65.6%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) (/.f64 z t)))))
	56.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ (+ ( (* z y) 1/2) y) t) (.f64 (.f64 (/.f64 y t) z) #s(literal 1/2 binary64))) z))))
	20.4%	(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
✓	20.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
	16.0%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y z) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
	15.9%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
	23.6%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y (neg.f64 (expm1.f64 z))) t) y)))
	24.3%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
	14.5%	#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))

Compiler

Compiled 2 330 to 937 computations (59.8% saved)

regimes99.0ms (0.7%)

Memory

5.7MiB live, 199.3MiB allocated; 19ms collecting garbage

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ (+ ( (* z y) 1/2) y) t) (.f64 (.f64 (/.f64 y t) z) #s(literal 1/2 binary64))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) (/.f64 z t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 #s(approx (+ ( (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) #s(approx (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (/.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) z) z) t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) z y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t)) z (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t)) z) t (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) y)) (.f64 (*.f64 #s(literal 5/2 binary64) (/.f64 y t)) t)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) #s(literal 3 binary64)) t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y) #s(approx (* t (+ (* (+ 1 (exp z)) (exp z)) 1)) (*.f64 #s(literal 3 binary64) t)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (-.f64 (.f64 (exp.f64 z) t) (.f64 t #s(literal 1 binary64))) (.f64 t t)) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (.f64 #s(approx (+ ( (exp z) (exp z)) (+ (exp z) 1)) (fma.f64 (fma.f64 #s(literal 5/2 binary64) z #s(literal 3 binary64)) z #s(literal 3 binary64))) t)) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y z) (.f64 #s(literal 1/6 binary64) y)) z (.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 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 (cosh.f64 z) y (fma.f64 #s(approx (sinh z) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 z z) #s(literal 1/6 binary64)) (*.f64 z z) #s(literal 1 binary64)) z)) y (-.f64 #s(literal 1 binary64) y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 (cosh.f64 z) y (fma.f64 (sinh.f64 z) y (-.f64 #s(literal 1 binary64) y)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y (neg.f64 (expm1.f64 z))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 (.f64 (expm1.f64 (.f64 #s(literal 3 binary64) z)) y) (*.f64 t (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 z)) (exp.f64 z) #s(literal 1 binary64))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (/.f64 (.f64 (expm1.f64 (.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))) t))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (-.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (*.f64 x x)))

Outputs

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

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

Calls

9 calls:

16.0ms	z
13.0ms	x
11.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
11.0ms	y
11.0ms	t

Results

Accuracy	Segments	Branch
86.4%	1	`(exp.f64 z)`
95.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
95.8%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
95.1%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
89.1%	2	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
89.5%	2	`x`
94.1%	2	`y`
90.3%	3	`z`
88.3%	2	`t`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes74.0ms (0.5%)

Memory

-11.9MiB live, 53.2MiB allocated; 17ms collecting garbage

Counts

29 → 2

Calls

Call 1

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

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

Calls

6 calls:

40.0ms	y
7.0ms	x
7.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
6.0ms	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
6.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
86.4%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
88.1%	2	`x`
86.4%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
86.4%	1	`y`
88.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
88.8%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 43 to 50 computations (-16.3% saved)

regimes72.0ms (0.5%)

Memory

10.4MiB live, 57.0MiB allocated; 2ms collecting garbage

Counts

17 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ (+ ( (* z y) 1/2) y) t) (.f64 (.f64 (/.f64 y t) z) #s(literal 1/2 binary64))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) (/.f64 z t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 #s(approx (+ ( (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) #s(approx (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (/.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) z) z) t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) z y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t)) z (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t)) z) t (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) y)) (.f64 (*.f64 #s(literal 5/2 binary64) (/.f64 y t)) t)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))

Outputs

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

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

Calls

9 calls:

37.0ms	t
5.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Results

Accuracy	Segments	Branch
74.8%	3	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
78.8%	2	`(exp.f64 z)`
73.4%	2	`y`
74.7%	3	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
74.0%	2	`x`
76.7%	3	`t`
79.2%	2	`z`
75.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
75.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes54.0ms (0.4%)

Memory

-35.0MiB live, 55.5MiB allocated; 7ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ (+ ( (* z y) 1/2) y) t) (.f64 (.f64 (/.f64 y t) z) #s(literal 1/2 binary64))) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) (/.f64 z t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 #s(approx (+ ( (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) y)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (- (exp z) 1) y) (.f64 (fma.f64 (.f64 z y) #s(literal 1/2 binary64) y) z))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) #s(approx (* (+ (* (- (* (/ y t) 3/2) (/ y t)) z) (/ y t)) z) (/.f64 (.f64 (.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) y) y) z) z) t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (/ (* (- (exp (* 3 z)) 1) y) (* t (+ (* (+ 1 (exp z)) (exp z)) 1))) (/.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) z y) z) t))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (fma.f64 (-.f64 (.f64 (/.f64 y t) #s(literal 3/2 binary64)) (/.f64 y t)) z (/.f64 y t)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp (* z 3)) 1) (* (+ (* (exp z) (exp z)) (+ (exp z) 1)) t)) y) (.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) y) y) t)) z) t (.f64 (.f64 #s(literal 5/2 binary64) (/.f64 y t)) y)) (.f64 (*.f64 #s(literal 5/2 binary64) (/.f64 y t)) t)) z))))

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

Calls

7 calls:

29.0ms	y
6.0ms	z
4.0ms	t
4.0ms	x
3.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
71.5%	1	`y`
71.5%	1	`x`
71.5%	1	`t`
73.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
73.3%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
71.5%	1	`(exp.f64 z)`
71.5%	1	`z`

Compiler

Compiled 23 to 40 computations (-73.9% saved)

regimes14.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
71.1%	1	`y`
73.0%	2	`(exp.f64 z)`
71.1%	1	`x`
73.0%	2	`z`
71.1%	1	`t`
71.1%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
71.1%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
73.0%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
73.0%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes6.0ms (0%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.1%	1	`t`
71.1%	1	`z`
71.1%	1	`(exp.f64 z)`
71.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
71.1%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes12.0ms (0.1%)

Memory

-33.9MiB live, 17.3MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
14.5%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
14.5%	1	`y`
14.5%	1	`(exp.f64 z)`
14.5%	1	`x`
14.5%	1	`z`
14.5%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
14.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
14.5%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
14.5%	1	`t`

Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3528735343679166e-14	2.942377216815696e-5

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.3528735343679166e-14	2.942377216815696e-5

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch37.0ms (0.3%)

Memory

10.1MiB live, 56.2MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-1.90296423491613e-32	-3.6680369631272334e-34

Samples

24.0ms	69×	1	valid
4.0ms	43×	0	valid
2.0ms	6×	1	invalid

Compiler

Compiled 352 to 285 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 9.0ms (36.7% of total)

ival-exp: 7.0ms (28.5% of total)

adjust: 3.0ms (12.2% of total)

ival-sub: 2.0ms (8.1% of total)

ival-div: 1.0ms (4.1% of total)

ival-mult: 1.0ms (4.1% of total)

ival-add: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.1102230246251565e-16

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.1102230246251565e-16

Compiler

Compiled 16 to 19 computations (-18.8% saved)

simplify54.0ms (0.4%)

Memory

-1.4MiB live, 45.1MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	314
1	119	314
2	205	314
3	390	314
4	865	314
5	4436	314

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -2484552783462535/365375409332725729550921208179070754913983135744 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) (/.f64 z t))))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))

Outputs
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) ( y (exp z))) #s(literal 1 binary64))) t)))
(if (<=.f64 z #s(literal -2484552783462535/365375409332725729550921208179070754913983135744 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y z) y) (/.f64 z t))))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) (-.f64 x (/.f64 #s(approx (log (+ (- 1 y) ( y (exp z)))) (.f64 z y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal -inf.0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (*.f64 (/.f64 y t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))

derivations1.2s (8.2%)

Memory

12.9MiB live, 868.3MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	4364
1	2185	4125
0	8295	3813
0	335	1597
1	1079	1468
2	4058	1425
0	9154	1220
0	63	510
0	101	501
1	424	418
2	3196	418
0	9501	396
0	42	314
0	72	314
1	273	297
2	2137	297
0	8133	276
0	580	2883
1	2015	2670
2	7557	2599
0	8289	2275
0	53	416
0	89	416
1	337	368
2	2561	368
0	8534	352

Stop Event

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

Compiler

Compiled 314 to 76 computations (75.8% saved)

preprocess75.0ms (0.5%)

Memory: 12.4MiB live, 104.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 736 to 226 computations (69.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze660.0ms (4.7%)

sample5.6s (40.1%)

explain421.0ms (3%)

preprocess157.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify130.0ms (0.9%)

localize172.0ms (1.2%)

series139.0ms (1%)

simplify236.0ms (1.7%)

rewrite245.0ms (1.7%)

eval115.0ms (0.8%)

prune63.0ms (0.4%)

simplify191.0ms (1.4%)

localize377.0ms (2.7%)

series356.0ms (2.5%)

simplify194.0ms (1.4%)

rewrite154.0ms (1.1%)

eval94.0ms (0.7%)

prune45.0ms (0.3%)

simplify177.0ms (1.3%)

localize442.0ms (3.2%)

series148.0ms (1.1%)

simplify198.0ms (1.4%)

rewrite504.0ms (3.6%)

eval129.0ms (0.9%)

prune37.0ms (0.3%)

simplify103.0ms (0.7%)

localize555.0ms (4%)

series177.0ms (1.3%)

simplify187.0ms (1.3%)

rewrite243.0ms (1.7%)

eval69.0ms (0.5%)

prune35.0ms (0.3%)

regimes99.0ms (0.7%)

regimes74.0ms (0.5%)

regimes72.0ms (0.5%)

regimes54.0ms (0.4%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (0.4%)

derivations1.2s (8.2%)

preprocess75.0ms (0.5%)

end0.0ms (0%)

Profiling