Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze283.0ms (4.8%)

Memory

0.1MiB live, 109.8MiB 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
0%	0%	99.8%	0.2%	0%	0%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
4.2%	3.1%	71.3%	0.2%	0%	25.3%	0%	10
6.3%	4.7%	69.2%	0.2%	0%	25.9%	0%	11
9.2%	6.6%	65.8%	0.2%	0%	27.4%	0%	12

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample3.0s (50.4%)

Memory

-31.6MiB live, 1 091.8MiB allocated

Samples

1.4s	15 431×	0	invalid
717.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 587.0ms (41.8% of total)

ival-div: 472.0ms (33.6% of total)

ival-sqrt: 149.0ms (10.6% of total)

ival-acos: 140.0ms (10% of total)

exact: 34.0ms (2.4% of total)

ival-true: 16.0ms (1.1% of total)

ival-assert: 8.0ms (0.6% of total)

Bogosity

explain144.0ms (2.4%)

Memory

-3.0MiB live, 93.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
27	-	7	(2.417485106098595e-86 -4.571105063832982e+226 -4.2740360194258536e-20 3.244599961933387e-136)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
9	-	1	(1.1208991389482281e-306 -1.3861006491701815e-251 -2.897652544236606e+259 2.1591733680761905e+124)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
1	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	17	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	48
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	48
`*.f64`	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`	*nu**	8	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	2	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	2
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	2
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	2	0
-	27	227

Precision

0.06896551724137931

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	27	0	227

Precision?

0.06896551724137931

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

28.505859375

Average Time

0.11135101318359375

Samples

53.0ms

512×

valid

Compiler

Compiled 293 to 76 computations (74.1% saved)

Precisions

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

ival-mult: 13.0ms (40.3% of total)

ival-div: 10.0ms (31% of total)

ival-acos: 5.0ms (15.5% of total)

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

exact: 1.0ms (3.1% of total)

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

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

preprocess118.0ms (2%)

Memory

4.6MiB live, 12.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	246
1	275	212
2	967	184
3	3633	184
4	4322	184
5	5222	184
6	6504	184
0	18	17
0	29	17
1	49	15
2	127	13
3	394	13
4	1401	13
5	3100	13
6	3190	13
7	3241	13
8	3241	13
9	3241	13
10	3840	13
11	3879	13
12	3879	13
0	3879	13

Stop Event

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

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64))

Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

97.7%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify63.0ms (1.1%)

Memory

-3.5MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff	320	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
cost-diff	320	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	29	86
1	49	76
2	127	68
3	394	68
4	1401	68
5	3100	68
6	3190	68
7	3241	68
8	3241	68
9	3241	68
10	3840	68
11	3879	68
12	3879	68
0	3879	68

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

Outputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(.f64 (.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

localize35.0ms (0.6%)

Memory

0.9MiB live, 15.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.4466506337732633	(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy	0.97265625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy	2.055183125210089	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy	6.243496904665341	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 182 to 38 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (37.8% of total)

ival-div: 5.0ms (31.5% of total)

ival-sqrt: 2.0ms (12.6% of total)

ival-acos: 2.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

4.1MiB live, 11.2MiB allocated

Counts

6 → 7

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))

Outputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/27 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	t	@	-inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
3.0ms	y	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
3.0ms	x	@	inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
3.0ms	x	@	0	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
2.0ms	y	@	inf	((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))

simplify83.0ms (1.4%)

Memory

1.6MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	68
1	66	65
2	197	63
3	730	63
4	2614	63
5	4493	63
6	6282	63
0	8050	63

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

Inputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/27 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Outputs
(* 1/18 (/ x (* y z)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))

rewrite139.0ms (2.3%)

Memory

-7.3MiB live, 49.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	55
0	29	55
1	69	47
2	387	41
3	3742	41
0	8214	41

Stop Event

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

Counts

6 → 588

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))

Outputs
#s(literal 1/3 binary64)
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2/3 binary64)) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal -2 binary64) z) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2/3 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2/3 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 z #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(.f64 (pow.f64 (.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
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(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) (neg.f64 x)) (.f64 z (.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 (.f64 (.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) z)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) z))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 27 binary64) y) x))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) x) (*.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (.f64 (.f64 #s(literal 54 binary64) y) z))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) z))
(/.f64 (.f64 (sqrt.f64 t) #s(literal -1 binary64)) (.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z #s(literal 2/3 binary64)) x)) (.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (.f64 z (/.f64 (.f64 #s(literal 27 binary64) y) x)))
(/.f64 (/.f64 (sqrt.f64 t) (.f64 z (/.f64 (.f64 #s(literal 27 binary64) y) x))) #s(literal 2/3 binary64))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))) (neg.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(/.f64 (.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (.f64 z (*.f64 #s(literal 27 binary64) y)))
(/.f64 (.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (.f64 y (.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) x) (sqrt.f64 t)) (.f64 z (.f64 #s(literal -54 binary64) y)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) z)
(/.f64 (.f64 x (.f64 (sqrt.f64 t) #s(literal 3 binary64))) (.f64 (.f64 #s(literal 54 binary64) y) z))
(/.f64 (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) (.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
(/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (sqrt.f64 t) (.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(neg.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (.f64 (log.f64 (.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64) (.f64 (log.f64 t) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(.f64 (pow.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x #s(literal 1/27 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 27 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -27 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (/.f64 (neg.f64 x) y))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x #s(literal 1/27 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (neg.f64 x))
(.f64 (.f64 x #s(literal 1/27 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/27 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/27 binary64) y))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 27 binary64) y)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 27 binary64) y) x) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 #s(literal -27 binary64) y) (/.f64 (neg.f64 x) #s(literal 27 binary64)))) (.f64 (*.f64 #s(literal -27 binary64) y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y)) (.f64 (.f64 #s(literal -27 binary64) y) (/.f64 x #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 27 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 #s(literal -27 binary64) y) (/.f64 x #s(literal -27 binary64)))) (.f64 (*.f64 #s(literal -27 binary64) y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 #s(literal -27 binary64) y) (neg.f64 (.f64 x #s(literal 1/27 binary64))))) (.f64 (.f64 #s(literal -27 binary64) y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (.f64 #s(literal -27 binary64) y) (.f64 x #s(literal 1/27 binary64)))) (.f64 (.f64 #s(literal -27 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -27 binary64) y) (/.f64 (neg.f64 x) y))) (.f64 (.f64 #s(literal -27 binary64) y) #s(literal 27 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 27 binary64) y) x)) (.f64 (.f64 #s(literal -27 binary64) y) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -27 binary64) y) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -27 binary64) y) (/.f64 x y))) (.f64 (.f64 #s(literal -27 binary64) y) #s(literal -27 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 27 binary64) y)) (.f64 (.f64 #s(literal -27 binary64) y) (neg.f64 x))) (.f64 (.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 27 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -27 binary64) y)) (.f64 (.f64 #s(literal -27 binary64) y) x)) (pow.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -27 binary64) y) x)) (.f64 (.f64 #s(literal -27 binary64) y) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -27 binary64) y) (/.f64 (*.f64 #s(literal -27 binary64) y) x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/27 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/27 binary64) x) y)
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (neg.f64 x) #s(literal 27 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/27 binary64))) (neg.f64 y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/27 binary64))) y)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) #s(literal -27 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal -27 binary64) y))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal -27 binary64) y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 27 binary64) x))
(/.f64 #s(literal 1/27 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -27 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -27 binary64) y) x))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(neg.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -27 binary64) y)) (.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 27 binary64) y) x)) #s(literal -1 binary64)))

eval71.0ms (1.2%)

Memory: 9.4MiB live, 61.3MiB allocated
Compiler: Compiled 11 751 to 3 099 computations (73.6% saved)

prune8.0ms (0.1%)

Memory

-3.1MiB live, 21.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	591	3	594
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	592	3	595

Accuracy

98.5%

Counts

595 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
▶	97.7%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
▶	96.5%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.1%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))

▶

97.7%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

▶

96.5%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Compiler

Compiled 73 to 65 computations (11% saved)

simplify79.0ms (1.3%)

Memory

-1.5MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
cost-diff	0	(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff	0	(sqrt.f64 t)
cost-diff	0	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
cost-diff	0	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff	0	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	262
0	63	262
1	106	252
2	245	242
3	602	242
4	1608	242
5	3022	242
6	3130	242
7	3176	242
8	3176	242
9	3176	242
10	3464	242
11	3511	242
12	3511	242
13	3738	242
14	3738	242
0	3738	242

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t

localize85.0ms (1.4%)

Memory

3.1MiB live, 34.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.27962875976844204	(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
accuracy	0.97265625	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
accuracy	2.055183125210089	(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
accuracy	5.080155925794888	(/.f64 x (*.f64 z y))
accuracy	0.27962875976844204	(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy	2.055183125210089	(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	6.029222188664522	(/.f64 (/.f64 x y) z)
accuracy	0.24609375	(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy	3.4845789508856386	(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy	6.004162109399453	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)

Samples

65.0ms

256×

valid

Compiler

Compiled 492 to 81 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 18.0ms (38.3% of total)

ival-div: 13.0ms (27.6% of total)

ival-acos: 8.0ms (17% of total)

const: 6.0ms (12.8% of total)

ival-sqrt: 2.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.4%)

Memory

-15.1MiB live, 13.9MiB allocated

Counts

18 → 14

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(/.f64 x (*.f64 z y))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(sqrt t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
2.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
2.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
2.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))
2.0ms	t	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)) (/ x (* z y)) (* (/ x (* z y)) 1/18))

simplify84.0ms (1.4%)

Memory

4.7MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	126
1	86	114
2	300	112
3	1553	112
4	4656	112
5	6741	112
0	8064	112

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(sqrt t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (.f64 (sqrt.f64 t) x)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (.f64 (sqrt.f64 t) x))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(sqrt t)
(sqrt.f64 t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (/.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (.f64 (sqrt.f64 t) x))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(/.f64 (/.f64 (sqrt.f64 t) z) y)

rewrite135.0ms (2.3%)

Memory

-0.3MiB live, 49.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	210
0	63	210
1	161	202
2	831	194
3	6772	194
0	8006	194

Stop Event

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

Counts

18 → 1 582

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(.f64 (sqrt.f64 t) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(/.f64 x (*.f64 z y))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (.f64 (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))
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(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal -3 binary64)) (neg.f64 z))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 3 binary64))) z)
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (.f64 x (/.f64 #s(literal 3 binary64) z)) (.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/18 binary64)) #s(literal 1 binary64)) z)
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (neg.f64 x)) (.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) x) (.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)) (.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 z) x)) (neg.f64 y))
(/.f64 (/.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) z))
(/.f64 (pow.f64 (.f64 (/.f64 z x) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 #s(literal -1/18 binary64) x)) (.f64 z y))
(/.f64 (neg.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) z))) (.f64 #s(literal -27 binary64) y))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 3 binary64))) (neg.f64 z))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/9 binary64))) (.f64 (.f64 #s(literal -2 binary64) z) y))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 3 binary64) y) x)) (.f64 (.f64 #s(literal -2 binary64) z) #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x)) (.f64 (.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -27 binary64) y)))
(/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 3 binary64) y) x)) #s(literal 54 binary64))
(/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/9 binary64))) (*.f64 z y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 3 binary64) y) x)) (*.f64 z #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3 binary64) x)) (.f64 z (.f64 #s(literal -27 binary64) y)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 3 binary64))) (.f64 (.f64 z y) #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/9 binary64))) (.f64 (.f64 #s(literal 2 binary64) z) y))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) x)) (.f64 z (.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (.f64 z #s(literal 1/3 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (*.f64 z y))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) x) (pow.f64 z #s(literal -1 binary64))) #s(literal 54 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) x) (pow.f64 z #s(literal -1 binary64))) (*.f64 #s(literal -54 binary64) y))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -27 binary64) y) z))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 #s(literal 54 binary64) y))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 z y) #s(literal 27 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (.f64 y (.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 (.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal -1 binary64)) (.f64 #s(literal 27 binary64) (.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (.f64 z (.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 (.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 (.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (.f64 y (.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (.f64 #s(literal -27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (.f64 (neg.f64 x) #s(literal -3 binary64)) (.f64 (*.f64 #s(literal -54 binary64) y) (neg.f64 z)))
(/.f64 (.f64 (/.f64 x y) #s(literal -3 binary64)) (.f64 #s(literal 54 binary64) (neg.f64 z)))
(/.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) #s(literal -1 binary64)) (*.f64 z y))
(/.f64 (.f64 (.f64 #s(literal -1/18 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (.f64 (.f64 #s(literal 1/18 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (neg.f64 y) x) z))
(/.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (neg.f64 y) z) x))
(/.f64 (.f64 #s(literal -3 binary64) (neg.f64 x)) (.f64 (neg.f64 z) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (.f64 #s(literal -3 binary64) (/.f64 x y)) (.f64 (neg.f64 z) #s(literal 54 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(/.f64 (.f64 x #s(literal 1/9 binary64)) (.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y)
(/.f64 (.f64 x (/.f64 #s(literal 3/2 binary64) z)) (.f64 #s(literal 27 binary64) y))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) y) x) (.f64 #s(literal 54 binary64) z))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) y) x) (.f64 z #s(literal 54 binary64)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x))
(/.f64 (.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 3 binary64)) z)
(/.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 2/3 binary64))
(/.f64 #s(literal 3/2 binary64) (.f64 (/.f64 (.f64 #s(literal 27 binary64) y) x) z))
(/.f64 #s(literal 3/2 binary64) (.f64 (.f64 (/.f64 y x) z) #s(literal 27 binary64)))
(/.f64 (.f64 #s(literal -3 binary64) x) (.f64 (*.f64 #s(literal -54 binary64) y) z))
(/.f64 (.f64 #s(literal -3 binary64) x) (.f64 (*.f64 #s(literal 54 binary64) y) (neg.f64 z)))
(/.f64 (.f64 #s(literal -3 binary64) x) (.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) y)))
(/.f64 (.f64 #s(literal -3 binary64) x) (.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal -2 binary64) z) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal 54 binary64) (/.f64 y x)) (neg.f64 z)))
(/.f64 #s(literal -3 binary64) (.f64 (neg.f64 z) (.f64 #s(literal 54 binary64) (/.f64 y x))))
(/.f64 #s(literal -3 binary64) (.f64 (/.f64 (.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal -2 binary64) z)))
(/.f64 #s(literal -3 binary64) (.f64 (.f64 #s(literal -27 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (neg.f64 z))
(/.f64 (.f64 #s(literal -1/18 binary64) x) (.f64 (neg.f64 y) z))
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -1/27 binary64) (/.f64 x y)) (.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) #s(literal 2 binary64))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal -2 binary64) z) (.f64 #s(literal -27 binary64) y)))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (.f64 #s(literal -27 binary64) y) (.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) (.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (.f64 #s(literal -1/9 binary64) (/.f64 x y)) (.f64 #s(literal -2 binary64) z))
(/.f64 (neg.f64 x) (.f64 (.f64 #s(literal -54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (neg.f64 x) (.f64 (.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal -54 binary64) y)))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 9 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 z (.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (/.f64 x y) (.f64 #s(literal 54 binary64) (.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 x y) (.f64 (.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z))
(/.f64 (.f64 (/.f64 #s(literal 1/9 binary64) y) x) (.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (.f64 z #s(literal 2/3 binary64)))
(/.f64 x (.f64 (.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 x (.f64 (.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y)))
(/.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 54 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 3 binary64) (.f64 (.f64 (/.f64 y x) z) #s(literal 54 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x z) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 27 binary64) y) (.f64 x (/.f64 #s(literal 3/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (.f64 #s(literal 1/18 binary64) x)) y))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))
(neg.f64 (/.f64 (.f64 #s(literal -1/18 binary64) x) (.f64 z y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 #s(literal 1/18 binary64) x)) y)))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 (neg.f64 y) z)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) z)))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) z)) (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) y)) #s(literal -1 binary64)))

eval112.0ms (1.9%)

Memory: 7.1MiB live, 96.0MiB allocated
Compiler: Compiled 28 183 to 4 752 computations (83.1% saved)

prune18.0ms (0.3%)

Memory

-6.0MiB live, 36.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	954	2	956
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	956	3	959

Accuracy

98.5%

Counts

959 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

98.1%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))

✓

97.7%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

▶

97.7%

(*.f64 (acos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

Compiler

Compiled 42 to 42 computations (0% saved)

simplify8.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 t)
cost-diff	0	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
cost-diff	0	(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
cost-diff	0	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
cost-diff	0	(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
cost-diff	0	(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
cost-diff	12480	(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	131
0	39	127
1	63	119
2	118	119
3	200	119
4	264	119
5	271	119
0	271	119

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(log.f64 t)
t
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(sqrt.f64 t)
t
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
(*.f64 #s(literal 1/18 binary64) x)
#s(literal 1/18 binary64)
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)

Outputs
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 x #s(literal 1/18 binary64))))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 x #s(literal 1/18 binary64)))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(sqrt.f64 t)
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 t))
(log.f64 t)
t
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 x #s(literal 1/18 binary64)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(acos.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 x #s(literal 1/18 binary64))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 x #s(literal 1/18 binary64)))
(sqrt.f64 t)
t
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) x)
(*.f64 x #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)

localize64.0ms (1.1%)

Memory

1.0MiB live, 23.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.390625	(*.f64 #s(literal 1/18 binary64) x)
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
accuracy	2.055183125210089	(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
accuracy	5.1739756482299	(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy	2.055183125210089	(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy	4.8289682333522626	(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
accuracy	6.029222188664522	(/.f64 (/.f64 x y) z)

Samples

50.0ms

256×

valid

Compiler

Compiled 264 to 48 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 12.0ms (34.1% of total)

const: 6.0ms (17.1% of total)

ival-div: 5.0ms (14.2% of total)

ival-acos: 4.0ms (11.4% of total)

ival-log: 4.0ms (11.4% of total)

ival-exp: 3.0ms (8.5% of total)

ival-sqrt: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

2.6MiB live, 10.2MiB allocated

Counts

11 → 11

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(sqrt.f64 t)
(/.f64 (/.f64 x y) z)
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
(*.f64 #s(literal 1/18 binary64) x)

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 x)
(sqrt t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ (/ x y) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
2.0ms	x	@	-inf	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ (/ x y) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
1.0ms	x	@	inf	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ (/ x y) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
1.0ms	z	@	0	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ (/ x y) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))
1.0ms	x	@	0	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z)))) (* (exp (* (log t) 1/2)) (* 1/18 (/ (/ x y) z))) (* (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) 1/3) (acos (* (sqrt t) (/ (* 1/18 x) (* z y)))) (* (sqrt t) (/ (* 1/18 x) (* z y))) (sqrt t) (/ (/ x y) z) (/ (* 1/18 x) (* z y)) (* 1/18 x))

simplify92.0ms (1.5%)

Memory

-2.4MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	97
1	64	89
2	210	87
3	773	87
4	1935	87
5	4368	87
6	5718	87
7	7194	87
0	8168	87

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 x)
(sqrt t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 #s(literal 1/18 binary64) x)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 #s(literal 1/18 binary64) x))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/18 (/ x (* y z)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
(sqrt t)
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1/18 binary64)) x))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 #s(literal 1/18 binary64) x))

rewrite141.0ms (2.4%)

Memory

-3.5MiB live, 59.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	39	87
1	91	87
2	402	87
3	2593	87
0	8166	87

Stop Event

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

Counts

11 → 973

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(sqrt.f64 t)
(/.f64 (/.f64 x y) z)
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
(*.f64 #s(literal 1/18 binary64) x)

Outputs
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 t) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 t) #s(literal 2 binary64))))
(.f64 (pow.f64 t #s(literal 1/4 binary64)) (.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 t) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 t) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (log.f64 t) #s(literal 2 binary64)) (/.f64 (log.f64 t) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 t))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/4 binary64) (*.f64 (log.f64 t) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 t) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 t t)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 t #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) #s(literal 1/3 binary64)) (.f64 (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))) (.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (.f64 (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 #s(literal 1/3 binary64) (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))))
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(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (.f64 z #s(literal 18 binary64))) (/.f64 (/.f64 (neg.f64 x) y) (.f64 z #s(literal 18 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z #s(literal 18 binary64))) (/.f64 (/.f64 (neg.f64 x) y) (.f64 z #s(literal 18 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 z #s(literal 18 binary64)) y)) (/.f64 (neg.f64 x) (.f64 (.f64 z #s(literal 18 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 z y) #s(literal 18 binary64))) (/.f64 (neg.f64 x) (.f64 (.f64 z y) #s(literal 18 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z y)) (.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/18 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/18 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/18 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/18 binary64))
(.f64 (.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -1/18 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 x #s(literal 1/18 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 #s(literal -1/18 binary64) x)))))
(neg.f64 (*.f64 #s(literal -1/18 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) x))

eval84.0ms (1.4%)

Memory: 4.3MiB live, 66.4MiB allocated
Compiler: Compiled 17 050 to 3 058 computations (82.1% saved)

prune12.0ms (0.2%)

Memory

1.1MiB live, 24.8MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	640	1	641
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	641	3	644

Accuracy

98.5%

Counts

644 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

98.1%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))

✓

97.7%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

▶

98.1%

(*.f64 (acos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))

Compiler

Compiled 42 to 42 computations (0% saved)

simplify7.0ms (0.1%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (log.f64 t) #s(literal 1/2 binary64))
cost-diff	0	(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))))
cost-diff	0	(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
cost-diff	12480	(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	76
0	25	68
1	39	64
2	74	64
3	149	64
4	243	64
5	277	64
0	277	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y))))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(log.f64 t)
t
#s(literal 1/2 binary64)
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)

Outputs
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x)))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y))))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x)
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(sqrt.f64 t)
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 t))
(log.f64 t)
t
#s(literal 1/2 binary64)
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))
(.f64 (/.f64 x (.f64 y z)) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 binary64)

localize43.0ms (0.7%)

Memory

-2.2MiB live, 15.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.97265625	(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
accuracy	2.055183125210089	(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y))))
accuracy	4.8289682333522626	(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
accuracy	5.080155925794888	(/.f64 x (*.f64 z y))

Samples

34.0ms

256×

valid

Compiler

Compiled 154 to 34 computations (77.9% saved)

Precisions

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

ival-mult: 7.0ms (30% of total)

const: 6.0ms (25.8% of total)

ival-exp: 3.0ms (12.9% of total)

ival-log: 3.0ms (12.9% of total)

ival-div: 2.0ms (8.6% of total)

ival-acos: 2.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (1%)

Memory

-2.6MiB live, 27.5MiB allocated

Counts

6 → 12

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))))
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(/.f64 x (*.f64 z y))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y))))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(/ x (* y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(* 1/2 (log t))
(* -1/2 (log (/ 1 t)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 t)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	t	@	0	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) (* (log t) 1/2) (/ x (* z y)) (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y)))))
12.0ms	t	@	-inf	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) (* (log t) 1/2) (/ x (* z y)) (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y)))))
8.0ms	t	@	inf	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) (* (log t) 1/2) (/ x (* z y)) (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y)))))
2.0ms	x	@	-inf	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) (* (log t) 1/2) (/ x (* z y)) (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y)))))
1.0ms	x	@	inf	((exp (* (log t) 1/2)) (* (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y))))) (* (log t) 1/2) (/ x (* z y)) (* (exp (* (log t) 1/2)) (* 1/18 (/ x (* z y)))))

simplify95.0ms (1.6%)

Memory

6.0MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	105
1	88	96
2	258	94
3	819	94
4	2010	94
5	4491	94
6	5909	94
7	7422	94
0	8277	94

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(/ x (* y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(* 1/2 (log t))
(* -1/2 (log (/ 1 t)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 t)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(.f64 (acos.f64 (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (.f64 (sqrt.f64 t) x)))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (.f64 (sqrt.f64 t) x))
(sqrt t)
(sqrt.f64 t)
(* 1/2 (log t))
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(* -1/2 (log (/ 1 t)))
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal -1/18 binary64)) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal -1/18 binary64)) x))
(* 1/2 (+ (log -1) (* -1 (log (/ -1 t)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t))) #s(literal 1/2 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (.f64 (sqrt.f64 t) x))

rewrite136.0ms (2.3%)

Memory

-4.8MiB live, 44.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	25	49
1	52	45
2	209	45
3	1314	45
0	8616	45

Stop Event

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

Counts

6 → 382

Calls

Call 1

Inputs
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))))
(*.f64 (log.f64 t) #s(literal 1/2 binary64))
(/.f64 x (*.f64 z y))
(.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y))))

Outputs
(*.f64 (pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 t))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 t))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1 binary64))
(pow.f64 (.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 t)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 t))) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 t))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 t) (*.f64 #s(literal 1/2 binary64) (log.f64 t))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 t))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/4 binary64) (*.f64 (log.f64 t) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 t) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 t t)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 t #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t)))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))))) #s(literal -1 binary64)))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))))
(.f64 (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 1/3 binary64))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (neg.f64 (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))))))))
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eval47.0ms (0.8%)

Memory: 4.1MiB live, 40.9MiB allocated
Compiler: Compiled 12 341 to 1 765 computations (85.7% saved)

prune11.0ms (0.2%)

Memory

0.5MiB live, 18.7MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	389	2	391
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	390	4	394

Accuracy

100.0%

Counts

394 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
	96.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))))) #s(literal 1/3 binary64))
✓	98.1%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
✓	97.7%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

Compiler

Compiled 343 to 177 computations (48.4% saved)

regimes38.0ms (0.6%)

Memory

2.5MiB live, 25.9MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))

Outputs

(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x)))))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))

Calls

13 calls:

3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	t
3.0ms	(sqrt.f64 t)
3.0ms	(*.f64 y #s(literal 27 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`t`
98.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.4%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.4%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.4%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.4%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.4%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.4%	1	`(*.f64 y #s(literal 27 binary64))`
98.4%	1	`(*.f64 z #s(literal 2 binary64))`
98.4%	1	`(sqrt.f64 t)`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes35.0ms (0.6%)

Memory

-6.9MiB live, 25.4MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))

Outputs
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))

Calls

13 calls:

3.0ms	(sqrt.f64 t)
3.0ms	x
3.0ms	(*.f64 z #s(literal 2 binary64))
3.0ms	t
3.0ms	z

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.1%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.1%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes30.0ms (0.5%)

Memory

4.5MiB live, 23.4MiB allocated

Accuracy

Total -2.7b remaining (-222.8%)

Threshold costs -2.7b (-222.8%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))))) #s(literal 1/3 binary64))

Outputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))

Calls

13 calls:

3.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
2.0ms	t
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(sqrt.f64 t)
2.0ms	(*.f64 y #s(literal 27 binary64))

Results

Accuracy	Segments	Branch
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.1%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.1%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(sqrt.f64 t)`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify26.0ms (0.4%)

Memory

-5.1MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	102
1	68	102
2	75	102
3	79	102
4	81	102

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x)))))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))

(*.f64 (acos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))

Outputs
(.f64 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x))) (-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (sqrt.f64 t) y) (.f64 (/.f64 #s(literal 1/18 binary64) z) x)))))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (.f64 (-.f64 (PI.f64) (acos.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) z)) (/.f64 (sqrt.f64 t) y)))) (asin.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) z)) (/.f64 (sqrt.f64 t) y))))) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 x (/.f64 #s(literal 1/18 binary64) z)) (/.f64 (sqrt.f64 t) y))) #s(literal 6 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)))))
(.f64 (acos.f64 (.f64 (exp.f64 (.f64 (log.f64 t) #s(literal 1/2 binary64))) (.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 t))))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y)))) #s(literal 1/3 binary64))
(.f64 (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 z y)) (sqrt.f64 t))) #s(literal 1/3 binary64))

soundness414.0ms (7%)

Memory

5.1MiB live, 5.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	25	49
1	52	45
2	209	45
3	1314	45
0	8616	45
0	42	210
0	63	210
1	161	202
2	831	194
3	6772	194
0	8006	194
0	23	99
0	39	87
1	91	87
2	402	87
3	2593	87
0	8166	87
0	18	55
0	29	55
1	69	47
2	387	41
3	3742	41
0	8214	41

Stop Event

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

Compiler

Compiled 364 to 210 computations (42.3% saved)

preprocess86.0ms (1.4%)

Memory: -2.6MiB live, 35.9MiB allocated
Compiler: Compiled 860 to 448 computations (47.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze283.0ms (4.8%)

sample3.0s (50.4%)

explain144.0ms (2.4%)

preprocess118.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify63.0ms (1.1%)

localize35.0ms (0.6%)

series26.0ms (0.4%)

simplify83.0ms (1.4%)

rewrite139.0ms (2.3%)

eval71.0ms (1.2%)

prune8.0ms (0.1%)

simplify79.0ms (1.3%)

localize85.0ms (1.4%)

series25.0ms (0.4%)

simplify84.0ms (1.4%)

rewrite135.0ms (2.3%)

eval112.0ms (1.9%)

prune18.0ms (0.3%)

simplify8.0ms (0.1%)

localize64.0ms (1.1%)

series15.0ms (0.3%)

simplify92.0ms (1.5%)

rewrite141.0ms (2.4%)

eval84.0ms (1.4%)

prune12.0ms (0.2%)

simplify7.0ms (0.1%)

localize43.0ms (0.7%)

series58.0ms (1%)

simplify95.0ms (1.6%)

rewrite136.0ms (2.3%)

eval47.0ms (0.8%)

prune11.0ms (0.2%)

regimes38.0ms (0.6%)

regimes35.0ms (0.6%)

regimes30.0ms (0.5%)

simplify26.0ms (0.4%)

soundness414.0ms (7%)

preprocess86.0ms (1.4%)

end0.0ms (0%)

Profiling