Metrics for From Rump in a 1983 paper, rewritten

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample1.2s (29.5%)

Memory

59.7MiB live, 2 034.4MiB allocated; 468ms collecting garbage

Samples

900.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 645.0ms

ival-mult: 274.0ms (42.5% of total)

ival-==: 137.0ms (21.2% of total)

ival-pow: 112.0ms (17.4% of total)

ival-sub: 84.0ms (13% of total)

exact: 20.0ms (3.1% of total)

ival-and: 12.0ms (1.9% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain163.0ms (3.9%)

Memory

16.2MiB live, 150.3MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))`
0	-	-	`(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(-.f64 (*.f64 y y) #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	-	-	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-pow: 24.0ms (61.4% of total)

ival-mult: 9.0ms (23% of total)

ival-sub: 4.0ms (10.2% of total)

exact: 1.0ms (2.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess52.0ms (1.2%)

Memory

-22.2MiB live, 29.2MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Outputs

(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64))))

(neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))

Symmetry

(abs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series9.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

11 → 20

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 y y)
y
(-.f64 (*.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 9 (pow x 4))
(pow x 4)
x
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -2 (pow y 2))
(* (pow y 2) (- (pow y 2) 2))
(pow y 2)
y
-2
(- (pow y 2) 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(pow y 4)
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) 9 (pow x 4) x 4 (* (* y y) (- (* y y) 2)) (* y y) y (- (* y y) 2) 2)
2.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) 9 (pow x 4) x 4 (* (* y y) (- (* y y) 2)) (* y y) y (- (* y y) 2) 2)
1.0ms	x	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) 9 (pow x 4) x 4 (* (* y y) (- (* y y) 2)) (* y y) y (- (* y y) 2) 2)
1.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) 9 (pow x 4) x 4 (* (* y y) (- (* y y) 2)) (* y y) y (- (* y y) 2) 2)
1.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* 9 (pow x 4)) 9 (pow x 4) x 4 (* (* y y) (- (* y y) 2)) (* y y) y (- (* y y) 2) 2)

simplify125.0ms (3%)

Memory

2.3MiB live, 136.4MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	154
1	108	154
2	309	154
3	1296	153
4	5092	153
0	8219	145

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 18

Calls

Call 1

Inputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 9 (pow x 4))
(pow x 4)
x
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* -2 (pow y 2))
(* (pow y 2) (- (pow y 2) 2))
(pow y 2)
y
-2
(- (pow y 2) 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(pow y 4)
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))

Outputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
x
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -2 (pow y 2))
(.f64 #s(literal -2 binary64) (.f64 y y))
(* (pow y 2) (- (pow y 2) 2))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)
(pow y 2)
(*.f64 y y)
y
-2
#s(literal -2 binary64)
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 1 binary64))) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))

rewrite238.0ms (5.6%)

Memory

9.3MiB live, 257.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	17	45
1	63	45
2	427	45
3	4944	45
0	8480	44

Stop Event

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

Counts

11 → 219

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 y y)
y
(-.f64 (*.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 24 binary64)) #s(literal 531441 binary64) (pow.f64 (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 6561 binary64) (.f64 (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(.f64 (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) (fma.f64 y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))) (fma.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
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(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(.f64 (.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64))) y) y)
(.f64 (neg.f64 (-.f64 (.f64 y y) #s(literal 2 binary64))) (*.f64 y y))
(.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y)
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 y y) (fma.f64 y y #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (/.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (.f64 y y) (neg.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64))))
(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
(.f64 y (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y))
(pow.f64 (.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y) #s(literal 1 binary64))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 y y)) (fma.f64 y y #s(literal -2 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (.f64 y y)) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 y y) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 y y #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 y y) (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) y) y) (fma.f64 y y #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) y) y) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) y) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))
(neg.f64 (.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y))
(exp.f64 (.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(fabs.f64 y)
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 1 binary64))))
y
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 y y) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 y y) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))) (.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 y y #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 16 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 16 binary64)) (pow.f64 y #s(literal 8 binary64))) (fma.f64 y y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64)) (.f64 (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 512 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 y y #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))))
(neg.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 y y #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) y (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))))
(-.f64 (*.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)

eval73.0ms (1.7%)

Memory: -3.4MiB live, 87.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 8 804 to 1 034 computations (88.3% saved)

prune30.0ms (0.7%)

Memory

-25.2MiB live, 20.1MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	301	4	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	4	306

Accuracy

100.0%

Counts

306 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.6%	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y))
▶	9.6%	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
▶	1.5%	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)))
▶	100.0%	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))

Compiler

Compiled 99 to 69 computations (30.3% saved)

simplify0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series14.0ms (0.3%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Counts

28 → 44

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(fma.f64 y y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(literal 9 binary64)
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y))
(.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y)
(.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y)
(-.f64 (*.f64 y y) #s(literal 2 binary64))

Outputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* (pow y 2) (- (pow y 2) 2))
(+ (* -9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* -9 (pow x 4))
(pow x 4)
x
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 9 (pow x 3))
(* 9 (pow x 2))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (- (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)) 9))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(- (* 2 (pow y 2)) (* -9 (pow x 4)))
(- (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (* -9 (pow x 4)))
(+ (* -9 (pow x 4)) (* -2 (pow y 2)))
(* -2 y)
(* y (- (pow y 2) 2))
-2
(- (pow y 2) 2)
y
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* -1 y)
(pow y 2)
(+ (* -2 (pow y 2)) (* 9 (pow x 4)))
(* -2 (pow y 2))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(pow y 4)
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1 (* -9 (/ (pow x 4) (pow y 4)))) (* 2 (/ 1 (pow y 2)))))
(pow y 3)
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 4) (- (+ 1 (* 9 (/ (pow x 4) (pow y 4)))) (* 2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4)))) (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4))) (* (+ (* y y) -2) y) (+ (* y y) -2) y -2 (* -9 (pow x 4)) -9 (pow x 4) x 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (neg y) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) 9 (* (* y y) 2) (* y y) 2 (+ (* (* (* (* x x) 9) x) x) (* (* (- (* y y) 2) y) y)) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* (* (- (* y y) 2) y) y) (* (- (* y y) 2) y) (- (* y y) 2))
2.0ms	x	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4)))) (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4))) (* (+ (* y y) -2) y) (+ (* y y) -2) y -2 (* -9 (pow x 4)) -9 (pow x 4) x 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (neg y) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) 9 (* (* y y) 2) (* y y) 2 (+ (* (* (* (* x x) 9) x) x) (* (* (- (* y y) 2) y) y)) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* (* (- (* y y) 2) y) y) (* (- (* y y) 2) y) (- (* y y) 2))
2.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4)))) (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4))) (* (+ (* y y) -2) y) (+ (* y y) -2) y -2 (* -9 (pow x 4)) -9 (pow x 4) x 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (neg y) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) 9 (* (* y y) 2) (* y y) 2 (+ (* (* (* (* x x) 9) x) x) (* (* (- (* y y) 2) y) y)) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* (* (- (* y y) 2) y) y) (* (- (* y y) 2) y) (- (* y y) 2))
2.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4)))) (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4))) (* (+ (* y y) -2) y) (+ (* y y) -2) y -2 (* -9 (pow x 4)) -9 (pow x 4) x 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (neg y) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) 9 (* (* y y) 2) (* y y) 2 (+ (* (* (* (* x x) 9) x) x) (* (* (- (* y y) 2) y) y)) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* (* (- (* y y) 2) y) y) (* (- (* y y) 2) y) (- (* y y) 2))
2.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4)))) (+ (* (* (+ (* y y) -2) y) y) (* -9 (pow x 4))) (* (+ (* y y) -2) y) (+ (* y y) -2) y -2 (* -9 (pow x 4)) -9 (pow x 4) x 4 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (* (* (+ (* y y) -2) y) (neg y)) (neg y) (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) 9 (* (* y y) 2) (* y y) 2 (+ (* (* (* (* x x) 9) x) x) (* (* (- (* y y) 2) y) y)) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* (* (- (* y y) 2) y) y) (* (- (* y y) 2) y) (- (* y y) 2))

simplify192.0ms (4.6%)

Memory

-28.4MiB live, 158.3MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	397
1	217	397
2	615	397
3	2594	395
4	7692	395
0	9199	370

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

Inputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* (pow y 2) (- (pow y 2) 2))
(+ (* -9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* -9 (pow x 4))
(pow x 4)
x
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 9 (pow x 3))
(* 9 (pow x 2))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (- (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)) 9))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(- (* 2 (pow y 2)) (* -9 (pow x 4)))
(- (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (* -9 (pow x 4)))
(+ (* -9 (pow x 4)) (* -2 (pow y 2)))
(* -2 y)
(* y (- (pow y 2) 2))
-2
(- (pow y 2) 2)
y
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(* -1 y)
(pow y 2)
(+ (* -2 (pow y 2)) (* 9 (pow x 4)))
(* -2 (pow y 2))
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(pow y 4)
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1 (* -9 (/ (pow x 4) (pow y 4)))) (* 2 (/ 1 (pow y 2)))))
(pow y 3)
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 4) (- (+ 1 (* 9 (/ (pow x 4) (pow y 4)))) (* 2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)))

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

rewrite577.0ms (13.7%)

Memory

24.2MiB live, 409.8MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	216
0	56	215
1	193	212
2	1288	209
0	8564	208

Stop Event

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

Counts

28 → 964

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(fma.f64 y y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal -9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)))
(.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64)))
#s(literal 9 binary64)
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
#s(literal 2 binary64)
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y))
(.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(.f64 (.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(.f64 (.f64 (-.f64 (*.f64 y y) #s(literal 2 binary64)) y) y)
(.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y)
(-.f64 (*.f64 y y) #s(literal 2 binary64))

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
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eval217.0ms (5.1%)

Memory: 22.9MiB live, 493.8MiB allocated; 54ms collecting garbage
Compiler: Compiled 40 535 to 3 606 computations (91.1% saved)

prune96.0ms (2.3%)

Memory

-68.2MiB live, 112.5MiB allocated; 104ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1 213	2	1 215
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	1 217	2	1 219

Accuracy

100.0%

Counts

1 219 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))
▶	11.1%	#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))

Status

Accuracy

Program

▶

100.0%

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (*.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))

▶

11.1%

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 67 to 40 computations (40.3% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series9.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

17 → 35

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))
(neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x))))
(fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)

Outputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(* (pow y 2) (- (pow y 2) 2))
(+ (* -9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* -9 (pow x 4))
(* -9 (pow x 2))
(pow x 2)
x
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (- (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)) 9))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(pow y 2)
y
(- (* 2 (pow y 2)) (* -9 (pow x 4)))
(- (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (* -9 (pow x 4)))
(+ (* -9 (pow x 4)) (* -2 (pow y 2)))
(* -2 y)
(* y (- (pow y 2) 2))
-2
(- (pow y 2) 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(pow y 4)
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1 (* -9 (/ (pow x 4) (pow y 4)))) (* 2 (/ 1 (pow y 2)))))
(pow y 3)
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) y 2 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x)))) (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x))) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (* (* x x) -9) (* x x)) (* (* x x) -9) (* x x) x -9)
2.0ms	x	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) y 2 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x)))) (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x))) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (* (* x x) -9) (* x x)) (* (* x x) -9) (* x x) x -9)
2.0ms	y	@	inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) y 2 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x)))) (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x))) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (* (* x x) -9) (* x x)) (* (* x x) -9) (* x x) x -9)
1.0ms	y	@	-inf	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) y 2 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x)))) (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x))) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (* (* x x) -9) (* x x)) (* (* x x) -9) (* x x) x -9)
1.0ms	x	@	0	((- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) y 2 (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x)))) (+ (* (* (+ (* y y) -2) y) y) (* (* (* x x) -9) (* x x))) (* (+ (* y y) -2) y) (+ (* y y) -2) -2 (* (* (* x x) -9) (* x x)) (* (* x x) -9) (* x x) x -9)

simplify168.0ms (4%)

Memory

9.2MiB live, 198.2MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	310
1	185	310
2	537	310
3	2367	309
4	7183	309
0	8576	290

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 33

Calls

Call 1

Inputs
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(- (* 9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(* (pow y 2) (- (pow y 2) 2))
(+ (* -9 (pow x 4)) (* (pow y 2) (- (pow y 2) 2)))
(* -9 (pow x 4))
(* -9 (pow x 2))
(pow x 2)
x
(* 9 (pow x 4))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (- (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)) 9))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(pow y 2)
y
(- (* 2 (pow y 2)) (* -9 (pow x 4)))
(- (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (* -9 (pow x 4)))
(+ (* -9 (pow x 4)) (* -2 (pow y 2)))
(* -2 y)
(* y (- (pow y 2) 2))
-2
(- (pow y 2) 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(pow y 4)
(* (pow y 4) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1 (* -9 (/ (pow x 4) (pow y 4)))) (* 2 (/ 1 (pow y 2)))))
(pow y 3)
(* (pow y 3) (- 1 (* 2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- (* 2 (/ 1 (pow y 2))) 1)))

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

rewrite202.0ms (4.8%)

Memory

14.1MiB live, 243.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	159
0	38	158
1	151	142
2	1073	141
0	8908	139

Stop Event

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

Counts

17 → 473

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))
(neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x))))
(fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 y y #s(literal -2 binary64)) y)
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 #s(literal 2 binary64) (.f64 y y))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 #s(literal 2 binary64) (.f64 y y)))
(.f64 (fabs.f64 (.f64 (neg.f64 y) #s(literal 2 binary64))) y)
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) y)) y)
(.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) (neg.f64 y))
(.f64 (.f64 #s(literal 2 binary64) y) y)
(.f64 (.f64 (neg.f64 y) y) #s(literal -2 binary64))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 2 binary64))
(.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 2 binary64))))
(.f64 y (fabs.f64 (.f64 #s(literal 2 binary64) y)))
(.f64 y (.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 y y) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 y y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 y y))
(fma.f64 y y (*.f64 y y))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))
(-.f64 (.f64 y y) (.f64 (neg.f64 y) y))
(fabs.f64 (.f64 #s(literal -2 binary64) (.f64 y y)))
(fabs.f64 (.f64 #s(literal 2 binary64) (.f64 y y)))
(+.f64 (.f64 y y) (.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 (neg.f64 y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 (neg.f64 y))
(sqrt.f64 (*.f64 y y))
(fabs.f64 (neg.f64 y))
(fabs.f64 y)
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y
#s(literal 2 binary64)
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) (-.f64 (.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(literal -2 binary64))) (.f64 (-.f64 (.f64 y y) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (.f64 y y) #s(literal -2 binary64)) (-.f64 (*.f64 y y) #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64)) (.f64 (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64)) #s(literal -8 binary64))) (.f64 (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 y y) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 y y) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (neg.f64 y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64)))
(neg.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal -2 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal -2 binary64))
(fma.f64 y y #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 y) y #s(literal -2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 y y) #s(literal -2 binary64))))
(-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 #s(literal -8 binary64) (-.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))) (/.f64 #s(literal -8 binary64) (-.f64 (-.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (.f64 y y)))))
(+.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (fma.f64 (neg.f64 y) (.f64 (fma.f64 y y #s(literal -2 binary64)) y) #s(literal 4 binary64))))
(+.f64 #s(literal -2 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 9 binary64))
(.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 x x) #s(literal 9 binary64)))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -9 binary64) x))
(.f64 (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) (.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (.f64 x x))
(*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))
(.f64 x (.f64 (.f64 #s(literal -9 binary64) x) (.f64 x x)))
(.f64 x (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 9 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal -9 binary64) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal -9 binary64)))
(fma.f64 #s(literal -9 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 #s(literal -9 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal -9 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal -9 binary64)))
(+.f64 (.f64 #s(literal -9 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal -9 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(.f64 (.f64 x #s(literal 9 binary64)) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal 9 binary64))
(.f64 (.f64 #s(literal -9 binary64) x) x)
(.f64 (neg.f64 x) (.f64 x #s(literal 9 binary64)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -9 binary64))
(.f64 x (neg.f64 (.f64 x #s(literal 9 binary64))))
(.f64 x (.f64 #s(literal -9 binary64) x))
(.f64 #s(literal 9 binary64) (.f64 (neg.f64 x) x))
(neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x
#s(literal -9 binary64)

eval102.0ms (2.4%)

Memory: 16.6MiB live, 239.2MiB allocated; 62ms collecting garbage
Compiler: Compiled 19 528 to 1 972 computations (89.9% saved)

prune88.0ms (2.1%)

Memory

-18.4MiB live, 186.5MiB allocated; 48ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	482	0	482
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	482	2	484

Accuracy

100.0%

Counts

484 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (*.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))

✓

11.1%

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Compiler

Compiled 248 to 90 computations (63.7% saved)

regimes14.0ms (0.3%)

Memory

-6.9MiB live, 39.0MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) x) x (.f64 (.f64 (-.f64 (.f64 y y) #s(literal 2 binary64)) y) y))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))

Calls

7 calls:

3.0ms	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
2.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
2.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms	(pow.f64 x #s(literal 4 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))`
100.0%	1	`(pow.f64 x #s(literal 4 binary64))`
100.0%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
100.0%	1	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 37 to 34 computations (8.1% saved)

regimes7.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Accuracy

Total -6.2b remaining (-10.8%)

Threshold costs -6.2b (-10.8%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)))

Outputs
#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (.f64 (.f64 y y) #s(literal 2 binary64))))

Calls

7 calls:

1.0ms	(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))
1.0ms	(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
11.1%	1	`(*.f64 y y)`
11.1%	1	`(.f64 (.f64 y y) (-.f64 (*.f64 y y) #s(literal 2 binary64)))`
11.1%	1	`(pow.f64 x #s(literal 4 binary64))`
11.1%	1	`(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))`
11.1%	1	`(-.f64 (.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 y y) (-.f64 (.f64 y y) #s(literal 2 binary64))))`
11.1%	1	`x`
11.1%	1	`y`

Compiler

Compiled 37 to 34 computations (8.1% saved)

simplify48.0ms (1.1%)

Memory

-21.6MiB live, 71.2MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	67
1	53	67
2	119	67
3	288	67
4	500	67
5	569	67
6	771	67
7	2587	67
8	4241	67

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (*.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

Outputs

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) (neg.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y (*.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x x)))))

#s(approx (- (* 9 (pow x 4)) (* (* y y) (- (* y y) 2))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

derivations467.0ms (11.1%)

Memory

29.0MiB live, 445.2MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	397
1	217	397
2	615	397
3	2594	395
4	7692	395
0	9199	370
0	40	154
1	108	154
2	309	154
3	1296	153
4	5092	153
0	8219	145
0	34	216
0	56	215
1	193	212
2	1288	209
0	8564	208

Stop Event

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

Compiler

Compiled 67 to 29 computations (56.7% saved)

preprocess84.0ms (2%)

Memory: 3.8MiB live, 155.1MiB allocated; 48ms collecting garbage
Remove: (abs y)
Compiler: Compiled 232 to 122 computations (47.4% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (29.5%)

explain163.0ms (3.9%)

preprocess52.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

series9.0ms (0.2%)

simplify125.0ms (3%)

rewrite238.0ms (5.6%)

eval73.0ms (1.7%)

prune30.0ms (0.7%)

simplify0.0ms (0%)

series14.0ms (0.3%)

simplify192.0ms (4.6%)

rewrite577.0ms (13.7%)

eval217.0ms (5.1%)

prune96.0ms (2.3%)

simplify0.0ms (0%)

series9.0ms (0.2%)

simplify168.0ms (4%)

rewrite202.0ms (4.8%)

eval102.0ms (2.4%)

prune88.0ms (2.1%)

regimes14.0ms (0.3%)

regimes7.0ms (0.2%)

simplify48.0ms (1.1%)

derivations467.0ms (11.1%)

preprocess84.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	79
1	67	79
2	171	77
3	347	77
4	545	77
5	592	77
6	598	77
7	601	77
0	11	15
0	17	15
1	30	15
2	69	15
3	153	15
4	236	15
5	250	15
6	254	15
7	257	15
0	257	15