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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze688.0ms (4.5%)

Memory

40.0MiB live, 456.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample6.9s (45.4%)

Memory

77.3MiB live, 5 189.6MiB allocated

Samples

2.1s	4 506×	1	valid
1.2s	1 257×	5	exit
899.0ms	3 750×	0	valid
517.0ms	1 800×	0	invalid
340.0ms	640×	1	invalid
284.0ms	451×	4	exit

Precisions

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

ival-log: 1.5s (38.6% of total)

ival-exp: 951.0ms (24.5% of total)

adjust: 504.0ms (13% of total)

ival-sub: 353.0ms (9.1% of total)

ival-mult: 247.0ms (6.4% of total)

ival-div: 189.0ms (4.9% of total)

ival-add: 116.0ms (3% of total)

ival-true: 11.0ms (0.3% of total)

exact: 9.0ms (0.2% of total)

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

Bogosity

explain543.0ms (3.6%)

Memory

-3.4MiB live, 505.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
173	40	(3.480931105131925e-11 1.8972135580195233e-277 -1.6314972331762318e-106 -9.212224432909507e+229)	-	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
76	3	(-2.4584115953326375e+22 16086816487199.596 2.9706822481278758e-183 -1.9588973059920151e+87)	-	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
11	0	-	-	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	0	-	-	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
0	0	-	-	`t`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`z`
0	0	-	-	`y`
0	0	-	-	`(*.f64 y (exp.f64 z))`
0	0	-	-	`x`
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	211	0
`+.f64`	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`	cancellation	27	0
`/.f64`	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`	u/n	4	0
↳	`(exp.f64 z)`	underflow	74
↳	`(*.f64 y (exp.f64 z))`	underflow	74
↳	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`	underflow	40
`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 -
+	100	15
-	121	20

Precision

0.45248868778280543

Recall

0.8695652173913043

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	100	0	15
-	121	0	20

Precision?

0.45248868778280543

Recall?

0.8695652173913043

Freqs

test

number	freq
0	35
1	198
2	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

154.0ms	354×	1	valid
65.0ms	114×	2	valid
4.0ms	44×	0	valid

Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-log: 103.0ms (54.7% of total)

ival-exp: 33.0ms (17.5% of total)

ival-sub: 15.0ms (8% of total)

adjust: 15.0ms (8% of total)

ival-div: 9.0ms (4.8% of total)

ival-mult: 6.0ms (3.2% of total)

ival-add: 5.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess180.0ms (1.2%)

Memory

18.2MiB live, 168.1MiB allocated

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(-.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)

simplify149.0ms (1%)

Memory

-3.9MiB live, 136.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize146.0ms (1%)

Memory

7.1MiB live, 151.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 y (exp.f64 z))
accuracy	2.605725703711498	(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy	18.43617441812012	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy	39.53893681802486	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Samples

75.0ms	57×	2	valid
58.0ms	177×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-add: 33.0ms (27.9% of total)

ival-log: 31.0ms (26.2% of total)

adjust: 24.0ms (20.3% of total)

ival-exp: 15.0ms (12.7% of total)

ival-sub: 8.0ms (6.8% of total)

ival-div: 4.0ms (3.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series204.0ms (1.3%)

Memory

-11.4MiB live, 222.1MiB allocated

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
51.0ms	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)))
44.0ms	x	@	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)))
29.0ms	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)))
28.0ms	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)))
20.0ms	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)))

simplify185.0ms (1.2%)

Memory

16.4MiB live, 166.6MiB allocated

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))))
(+ 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)))
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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))

rewrite224.0ms (1.5%)

Memory

-0.9MiB live, 274.3MiB allocated

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))

eval100.0ms (0.7%)

Memory: -30.3MiB live, 73.7MiB allocated
Compiler: Compiled 10 145 to 1 411 computations (86.1% saved)

prune11.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	243	11	254
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	11	255

Accuracy

99.9%

Counts

255 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(-.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))
▶	66.0%	(-.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))
	79.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
	71.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	63.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
▶	87.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
▶	78.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	63.3%	(-.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)))
▶	88.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
	16.3%	(.f64 (/.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))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.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)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.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))))

Compiler

Compiled 572 to 386 computations (32.5% saved)

simplify223.0ms (1.5%)

Memory

-16.4MiB live, 119.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.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 (expm1.f64 z) y)
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff	0	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z))
cost-diff	0	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)
cost-diff	0	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
cost-diff	1	(fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y)
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	39	379
0	64	379
1	100	379
2	217	379
3	610	379
4	1815	379
5	6655	379
0	8937	348

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

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

localize322.0ms (2.1%)

Memory

21.6MiB live, 208.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
accuracy	2.605725703711498	(/.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	12.957323017070362	#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	39.53893681802486	(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	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy	0.0078125	(*.f64 (expm1.f64 z) y)
accuracy	2.605725703711498	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy	11.026315437590275	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy	1.2715773458214121	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)
accuracy	2.605725703711498	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)
accuracy	5.266674803198179	(fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y)
accuracy	25.53029778542697	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z))
accuracy	0.0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy	2.605725703711498	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy	24.882662578246403	#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy	0.00390625	(/.f64 (expm1.f64 z) t)
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy	2.6598206388629095	(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy	10.731581075811297	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))

Samples

179.0ms	177×	1	valid
94.0ms	57×	2	valid
5.0ms	22×	0	valid

Compiler

Compiled 276 to 30 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-log: 81.0ms (33.7% of total)

ival-sub: 58.0ms (24.1% of total)

adjust: 33.0ms (13.7% of total)

ival-add: 27.0ms (11.2% of total)

ival-mult: 18.0ms (7.5% of total)

ival-exp: 15.0ms (6.2% of total)

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

ival-expm1: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series260.0ms (1.7%)

Memory

-7.7MiB live, 159.1MiB allocated

Counts

22 → 101

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)
(fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (.f64 y y)) y)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.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)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)
(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 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 (* 1/2 z)))
(* y (+ 1 (+ (* -1/2 (* y z)) (* 1/2 z))))
1
(+ 1 (* y (- (exp z) 1)))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z)))))
(+ 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)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (* 1/2 (/ z y)) (/ 1 y))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1/2 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1/2 (pow z 2)) (/ (* z (+ 1 (* 1/2 z))) y)))
(* 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)))
(+ (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))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 z)))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2))))
(* -1 (* y (* z (- (* -1/2 z) 1))))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 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)))))))))))
y
(+ y (* 1/2 (* z (- y (pow y 2)))))
(* 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 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* z (+ y (* 1/2 (* z (- y (pow y 2))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(* 1/2 (* z (- y (pow y 2))))
(* z (+ (* 1/2 (- y (pow y 2))) (/ y z)))
(- (+ 1 (* y (exp z))) y)
(* 1/2 (* (pow z 2) (- y (pow y 2))))
(* (pow z 2) (+ (* 1/2 (- y (pow y 2))) (/ y z)))
(* 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 z)) (* -1/2 (- y (pow y 2))))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* 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
157.0ms	y	@	-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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
46.0ms	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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
13.0ms	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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
11.0ms	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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
9.0ms	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) (+ (* (* 1/2 z) (- y (* y y))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 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)))) (* (- (exp z) 1) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))

simplify195.0ms (1.3%)

Memory

-0.8MiB live, 234.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	2044
1	1531	1900
2	5737	1853
0	8856	1605

Stop Event

1×	iter limit
1×	node limit

Counts

101 → 99

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

rewrite231.0ms (1.5%)

Memory

-19.1MiB live, 274.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	332
0	64	332
1	242	332
2	1871	332
0	8331	317

Stop Event

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

Counts

22 → 238

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

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

eval65.0ms (0.4%)

Memory: 38.7MiB live, 124.1MiB allocated
Compiler: Compiled 15 117 to 1 794 computations (88.1% saved)

prune78.0ms (0.5%)

Memory

-32.5MiB live, 68.0MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	327	9	336
Fresh	1	5	6
Picked	2	3	5
Done	0	0	0
Total	330	17	347

Accuracy

99.9%

Counts

347 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(-.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))
✓	66.0%	(-.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))
▶	79.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
▶	71.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
▶	63.8%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y))) t))
	70.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z)) t))
✓	87.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	68.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) y) y)) z)) t))
▶	58.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z)) t))
✓	78.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	64.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z (.f64 (.f64 #s(literal -1/2 binary64) z) z)) y) y))) t))
▶	79.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	74.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
	71.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z))))
	72.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) t) z))))
	16.3%	(.f64 (/.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))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.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)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.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))))

Compiler

Compiled 970 to 655 computations (32.5% saved)

simplify171.0ms (1.1%)

Memory

9.6MiB live, 151.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	483
0	79	483
1	126	479
2	274	479
3	825	479
4	2385	479
5	7528	479
0	8128	435

Stop Event

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

Calls

Call 1

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

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

localize248.0ms (1.6%)

Memory

29.7MiB live, 306.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
accuracy	2.605725703711498	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
accuracy	11.067122845689108	#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
accuracy	39.53893681802486	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
accuracy	2.605725703711498	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y))) t)
accuracy	4.021554639953677	(fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y))
accuracy	5.2530604495119	(.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z)
accuracy	25.53029778542697	#s(approx (log (+ (- 1 y) (* y (exp z)))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y)))
accuracy	2.605725703711498	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z)) t)
accuracy	10.020182060829987	(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)
accuracy	25.53029778542697	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z))
accuracy	51.273740820416464	#s(approx (+ (* (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
accuracy	0.00390625	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
accuracy	2.6598206388629095	(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy	10.731581075811297	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy	19.02527473896235	#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy	0.0	#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
accuracy	2.605725703711498	(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
accuracy	39.53893681802486	(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))

Samples

122.0ms	177×	1	valid
71.0ms	57×	2	valid
5.0ms	22×	0	valid

Compiler

Compiled 306 to 36 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-div: 32.0ms (21.1% of total)

ival-mult: 32.0ms (21.1% of total)

ival-log: 32.0ms (21.1% of total)

adjust: 19.0ms (12.5% of total)

ival-exp: 19.0ms (12.5% of total)

ival-sub: 8.0ms (5.3% of total)

ival-add: 7.0ms (4.6% of total)

ival-expm1: 2.0ms (1.3% of total)

exact: 1.0ms (0.7% of total)

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

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

series76.0ms (0.5%)

Memory

-7.6MiB live, 133.6MiB allocated

Counts

24 → 101

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(-.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 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z))
(.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z)
(fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y))
(.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y))) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y))) 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))
#s(approx (+ (* (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (fma.f64 (.f64 (.f64 (-.f64 y (.f64 y y)) #s(literal 1/2 binary64)) z) z (.f64 z y)))
(.f64 (.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) 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)))
(* y (* z (+ 1 (* 1/2 z))))
(* y (+ (* -1/2 (* y (pow z 2))) (* z (+ 1 (* 1/2 z)))))
(* y (+ z (* 1/2 (pow z 2))))
(* y (+ z (+ (* -1/2 (* y (pow z 2))) (* 1/2 (pow z 2)))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 y)))
(* y (+ 1 (* 1/2 z)))
(* y (+ 1 (+ (* -1/2 (* y z)) (* 1/2 z))))
(* -1/2 (* (pow y 2) z))
(* 1/2 (* y z))
(* y (+ (* -1/2 (* y z)) (* 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))
(* -1/2 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1/2 (pow z 2)) (/ (* z (+ 1 (* 1/2 z))) y)))
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(* -1/2 (pow y 2))
(* (pow y 2) (- (* 1/2 (/ 1 y)) 1/2))
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(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ z y))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
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(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 z) 1)) y)) (* -1/2 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1/2 (pow z 2))) y)) (* -1/2 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 z) 1) y)) (* -1/2 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)))
(* 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 (+ (* 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 (pow y 2))))))
y
(+ y (* 1/2 (* z (- y (pow y 2)))))
(* 1/2 (* z (- y (pow y 2))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(/ (- (exp z) 1) t)
(* 1/2 (* (pow z 2) (- y (pow y 2))))
(* (pow z 2) (+ (* 1/2 (- y (pow y 2))) (/ y z)))
(* z (+ (* 1/2 (- y (pow y 2))) (/ y z)))
(* -1 (* z (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2))))))
(/ (- (* 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
16.0ms	z	@	inf	((- 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) (* (/ (- (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)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* (* -1/2 y) y) z) (log (+ (- 1 y) (* y (exp z)))) (* (* (- y (* y y)) 1/2) z))
12.0ms	t	@	inf	((- 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) (* (/ (- (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)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* (* -1/2 y) y) z) (log (+ (- 1 y) (* y (exp z)))) (* (* (- y (* y y)) 1/2) z))
10.0ms	t	@	-inf	((- 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) (* (/ (- (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)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* (* -1/2 y) y) z) (log (+ (- 1 y) (* y (exp z)))) (* (* (- y (* y y)) 1/2) z))
9.0ms	z	@	-inf	((- 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) (* (/ (- (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)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* (* -1/2 y) y) z) (log (+ (- 1 y) (* y (exp z)))) (* (* (- y (* y y)) 1/2) z))
8.0ms	t	@	0	((- 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) (* (/ (- (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)))) (* (+ (* (* 1/2 z) (- y (* y y))) y) z) (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (* (- y (* y y)) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (+ (* (* 1/2 z) (- y (* y y))) y) (* (* (* -1/2 y) y) z) (log (+ (- 1 y) (* y (exp z)))) (* (* (- y (* y y)) 1/2) z))

simplify215.0ms (1.4%)

Memory

-5.7MiB live, 232.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	2022
1	1517	1863
2	5662	1820
0	8853	1571

Stop Event

1×	iter limit
1×	node limit

Counts

101 → 99

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

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

rewrite205.0ms (1.4%)

Memory

2.9MiB live, 192.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	432
0	79	432
1	272	428
2	1970	428
0	8628	403

Stop Event

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

Counts

24 → 221

Calls

Call 1

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

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

eval55.0ms (0.4%)

Memory: 17.5MiB live, 63.3MiB allocated
Compiler: Compiled 15 783 to 1 664 computations (89.5% saved)

prune69.0ms (0.5%)

Memory

-19.1MiB live, 40.9MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	1	8	9
Picked	1	4	5
Done	0	3	3
Total	313	18	331

Accuracy

99.9%

Counts

331 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(-.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))
✓	66.0%	(-.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))
✓	79.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	71.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	66.2%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (fma.f64 (.f64 #s(approx ( (- y (* y y)) 1/2) (.f64 (.f64 y y) #s(literal -1/2 binary64))) z) z (*.f64 z y))) t))
▶	70.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z)) t))
✓	87.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	68.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)) y) y)) z)) t))
	61.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) z) y)) z)) t))
✓	58.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z)) t))
✓	78.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
▶	64.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) y) y))) t))
✓	79.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
▶	74.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
▶	71.8%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z))))
▶	72.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) t) z))))
	16.3%	(.f64 (/.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))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.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)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.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))))

Compiler

Compiled 961 to 642 computations (33.2% saved)

simplify288.0ms (1.9%)

Memory

3.0MiB live, 135.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	738
0	99	738
1	185	723
2	466	716
3	1572	708
4	5788	708
0	9087	650

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

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

localize484.0ms (3.2%)

Memory

-13.4MiB live, 314.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.605725703711498	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) y) y))) t)
accuracy	2.8824185748546256	(.f64 (.f64 (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) y) y)
accuracy	11.79808720002057	(.f64 (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) y)
accuracy	25.53029778542697	#s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (.f64 (.f64 (fma.f64 (.f64 z z) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)) y) y)))
accuracy	1.4510118634496507	(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal 1/2 binary64) y)) z y) t)
accuracy	3.1419691463682344	(.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z)
accuracy	10.731581075811297	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z)))
accuracy	17.397567421987738	#s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z))
accuracy	0.01171875	(*.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
accuracy	1.2715773458214121	(.f64 (.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z)
accuracy	2.605725703711498	(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z)) t)
accuracy	25.53029778542697	#s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z))
accuracy	0.29178818329442535	(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) t)
accuracy	3.92313921327636	(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) t) z)
accuracy	10.731581075811297	#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) t) z)))
accuracy	18.839158380065637	#s(approx (* (/ (- (exp z) 1) t) y) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) t) z))
accuracy	0.16015625	(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
accuracy	2.6598206388629095	(.f64 #s(approx (/ (- (exp z) 1) t) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
accuracy	10.731581075811297	#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))
accuracy	19.683687546112008	#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))

Samples

358.0ms	177×	1	valid
68.0ms	57×	2	valid
8.0ms	22×	0	valid

Compiler

Compiled 443 to 54 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 303.0ms

ival-sub: 83.0ms (27.4% of total)

adjust: 58.0ms (19.1% of total)

ival-mult: 45.0ms (14.8% of total)

ival-add: 39.0ms (12.9% of total)

ival-log: 32.0ms (10.6% of total)

ival-div: 24.0ms (7.9% of total)

ival-exp: 16.0ms (5.3% of total)

const: 5.0ms (1.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series115.0ms (0.8%)

Memory

37.5MiB live, 131.6MiB allocated

Counts

27 → 134

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	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) (* (/ (- (exp z) 1) t) y) (* (/ (* (+ (* 1/2 z) 1) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) z) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (/ (+ (* 1/2 z) 1) t) z) (/ (* (+ (* 1/2 z) 1) y) t) (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) (* (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) z) (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) (* (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) y))
18.0ms	t	@	0	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (* (+ (* 1/2 z) 1) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) z) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (/ (+ (* 1/2 z) 1) t) z) (/ (* (+ (* 1/2 z) 1) y) t) (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) (* (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) z) (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) (* (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) y))
14.0ms	t	@	-inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (* (+ (* 1/2 z) 1) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) z) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (/ (+ (* 1/2 z) 1) t) z) (/ (* (+ (* 1/2 z) 1) y) t) (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) (* (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) z) (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) (* (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) y))
14.0ms	t	@	inf	((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (* (/ (* (+ (* 1/2 z) 1) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) z) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (/ (+ (* 1/2 z) 1) t) z) (/ (* (+ (* 1/2 z) 1) y) t) (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) (* (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) z) (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) (* (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) y))
12.0ms	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) (* (/ (- (exp z) 1) t) y) (* (/ (* (+ (* 1/2 z) 1) y) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) z) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (/ (+ (* 1/2 z) 1) t) z) (/ (* (+ (* 1/2 z) 1) y) t) (* (+ (* z (+ (* -1/2 y) 1/2)) 1) y) (* (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) z) (/ (+ (* (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) (* (* (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) y) y))

simplify560.0ms (3.7%)

Memory

-75.3MiB live, 179.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	515	2454
1	1784	2301
2	6819	2233
0	9222	1958

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 131

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

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

rewrite198.0ms (1.3%)

Memory

13.5MiB live, 201.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	604
0	99	604
1	382	592
2	2884	592
0	8215	551

Stop Event

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

Counts

27 → 299

Calls

Call 1

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

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

eval81.0ms (0.5%)

Memory: -0.2MiB live, 133.3MiB allocated
Compiler: Compiled 23 351 to 2 568 computations (89% saved)

prune51.0ms (0.3%)

Memory

-9.6MiB live, 57.2MiB allocated

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	413	9	422
Fresh	2	4	6
Picked	4	1	5
Done	0	7	7
Total	419	21	440

Accuracy

99.9%

Counts

440 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(-.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))
✓	66.0%	(-.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))
✓	79.6%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
	70.5%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
✓	71.8%	(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
	71.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (.f64 z y))) t))
✓	70.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 (.f64 (fma.f64 z (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) z)) t))
✓	87.7%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
	61.6%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) z) y)) z)) t))
✓	58.3%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (.f64 #s(approx (+ ( (* 1/2 z) (- y (* y y))) y) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) z)) z)) t))
✓	78.0%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
	69.9%	(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) #s(approx (+ (* (* (* (- y (* y y)) 1/2) z) z) (* z y)) (.f64 (.f64 #s(approx (+ (* (* z z) -1/2) (/ (* (+ (* 1/2 z) 1) z) y)) (/.f64 z y)) y) y))) t))
✓	79.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
	61.7%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (.f64 #s(approx (/ (- (exp z) 1) t) #s(approx ( (/ (+ (* 1/2 z) 1) t) z) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
	75.0%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) (/.f64 z t)))))
	71.4%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ (+ ( (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) t)) z))))
	63.2%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ (+ ( (+ (* 1/6 (* z y)) (* 1/2 y)) z) y) t) (.f64 (.f64 (*.f64 (/.f64 y t) #s(literal 1/6 binary64)) z) z)) z))))
	76.3%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ ( (+ (* 1/2 z) 1) y) t) (/.f64 y t)) z))))
	62.5%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ ( (+ (* 1/2 z) 1) y) t) (.f64 (.f64 (/.f64 y t) #s(literal 1/2 binary64)) z)) z))))
	60.9%	(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) #s(approx (* (/ (* (+ (* 1/2 z) 1) y) t) z) (.f64 (/.f64 (.f64 (*.f64 z z) y) t) #s(literal 1/2 binary64))))))
	16.3%	(.f64 (/.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))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.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)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.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))))

Compiler

Compiled 1 804 to 755 computations (58.1% saved)

regimes84.0ms (0.6%)

Memory

16.3MiB live, 156.9MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

9 calls:

22.0ms	t
10.0ms	x
8.0ms	y
8.0ms	z
8.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))

Results

Accuracy	Segments	Branch
88.7%	1	`(exp.f64 z)`
95.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
95.4%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
96.7%	4	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
94.9%	4	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
91.0%	2	`x`
95.9%	3	`y`
88.7%	1	`z`
88.7%	1	`t`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes24.0ms (0.2%)

Memory

-26.9MiB live, 24.4MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
95.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
95.4%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes39.0ms (0.3%)

Memory

15.7MiB live, 62.6MiB allocated

Counts

30 → 2

Calls

Call 1

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

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

5 calls:

11.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
8.0ms	y
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
88.7%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
88.7%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
90.5%	2	`y`
91.7%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
91.7%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 42 to 46 computations (-9.5% saved)

regimes77.0ms (0.5%)

Memory

10.4MiB live, 104.0MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

9 calls:

24.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
10.0ms	z
7.0ms	x
7.0ms	t
7.0ms	y

Results

Accuracy	Segments	Branch
79.0%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
85.3%	2	`(exp.f64 z)`
79.0%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
85.3%	2	`z`
79.0%	1	`t`
80.7%	2	`y`
83.2%	3	`x`
81.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
81.9%	2	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 47 to 63 computations (-34% saved)

regimes344.0ms (2.3%)

Memory

0.5MiB live, 88.5MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

164.0ms	z
157.0ms	x
6.0ms	y
5.0ms	(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
5.0ms	(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))

Results

Accuracy	Segments	Branch
79.0%	1	`y`
79.0%	1	`x`
79.0%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
79.0%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`
79.0%	1	`(exp.f64 z)`
79.0%	1	`z`

Compiler

Compiled 22 to 36 computations (-63.6% saved)

regimes173.0ms (1.1%)

Memory

-19.4MiB live, 23.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

165.0ms	z
1.0ms	y
1.0ms	t
1.0ms	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
1.0ms	x

Results

Accuracy	Segments	Branch
76.3%	1	`(exp.f64 z)`
76.3%	1	`(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))`
76.3%	1	`x`
76.3%	1	`y`
76.3%	1	`z`
76.3%	1	`t`
76.3%	1	`(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)`
76.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))`
76.3%	1	`(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))`

Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.554312234475218e-15

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.554312234475218e-15

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	165.22095401065138	176.72156629236125

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch21.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-6.21544674765395e+20	-5.978174009368511e+19

Samples

8.0ms	34×	1	valid
5.0ms	62×	0	valid
1.0ms	21×	0	invalid

Compiler

Compiled 262 to 223 computations (14.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-log: 6.0ms (53.4% of total)

ival-sub: 2.0ms (17.8% of total)

ival-add: 1.0ms (8.9% of total)

ival-div: 1.0ms (8.9% of total)

adjust: 1.0ms (8.9% of total)

ival-exp: 1.0ms (8.9% of total)

ival-mult: 1.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify59.0ms (0.4%)

Memory

-4.3MiB live, 43.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	252
1	97	252
2	188	252
3	402	252
4	1124	252
5	5926	252

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 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal 0 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 170 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 -60000000000000000000 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ ( (+ (* 1/2 z) 1) y) t) (/.f64 y t)) z))))

Outputs
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) ( y (exp z)))) t) (.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) t)))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y (exp.f64 z)))) #s(literal 0 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 170 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 -60000000000000000000 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.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) #s(approx (* (/ (- (exp z) 1) t) y) (.f64 #s(approx (/ ( (+ (* 1/2 z) 1) y) t) (/.f64 y t)) z))))

soundness797.0ms (5.3%)

Memory

-4.1MiB live, 512.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	1597
1	1079	1468
2	4058	1425
0	9154	1220
0	515	2454
1	1784	2301
2	6819	2233
0	9222	1958
0	453	2044
1	1531	1900
2	5737	1853
0	8856	1605

Stop Event

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

Compiler

Compiled 322 to 152 computations (52.8% saved)

preprocess47.0ms (0.3%)

Memory: 27.1MiB live, 72.2MiB allocated
Compiler: Compiled 612 to 198 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze688.0ms (4.5%)

sample6.9s (45.4%)

explain543.0ms (3.6%)

preprocess180.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify149.0ms (1%)

localize146.0ms (1%)

series204.0ms (1.3%)

simplify185.0ms (1.2%)

rewrite224.0ms (1.5%)

eval100.0ms (0.7%)

prune11.0ms (0.1%)

simplify223.0ms (1.5%)

localize322.0ms (2.1%)

series260.0ms (1.7%)

simplify195.0ms (1.3%)

rewrite231.0ms (1.5%)

eval65.0ms (0.4%)

prune78.0ms (0.5%)

simplify171.0ms (1.1%)

localize248.0ms (1.6%)

series76.0ms (0.5%)

simplify215.0ms (1.4%)

rewrite205.0ms (1.4%)

eval55.0ms (0.4%)

prune69.0ms (0.5%)

simplify288.0ms (1.9%)

localize484.0ms (3.2%)

series115.0ms (0.8%)

simplify560.0ms (3.7%)

rewrite198.0ms (1.3%)

eval81.0ms (0.5%)

prune51.0ms (0.3%)

regimes84.0ms (0.6%)

regimes24.0ms (0.2%)

regimes39.0ms (0.3%)

regimes77.0ms (0.5%)

regimes344.0ms (2.3%)

regimes173.0ms (1.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.1%)

simplify59.0ms (0.4%)

soundness797.0ms (5.3%)

preprocess47.0ms (0.3%)

end0.0ms (0%)

Profiling