Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 18 computations (25% saved)

sample1.1s (78.8%)

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 48 to 36 computations (25% saved)

preprocess36.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

481×	`associate-l_binary64`
475×	`distribute-rgt-neg-in_binary64`
474×	`fma-def_binary64`
343×	`distribute-lft-neg-in_binary64`
303×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	43	40
2	132	40
3	326	40
4	914	40
5	3333	40
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))
(+.f64 (-.f64 (.f64 9 (pow.f64 y 4)) (pow.f64 x 4)) (.f64 2 (*.f64 x x)))

Outputs
(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))
(+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) (.f64 2 (.f64 y y)))
(fma.f64 (.f64 y 2) y (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)))
(-.f64 (fma.f64 y (.f64 y 2) (.f64 9 (pow.f64 x 4))) (pow.f64 y 4))
(-.f64 (.f64 9 (pow.f64 x 4)) (.f64 (*.f64 y y) (fma.f64 y y -2)))
(fma.f64 9 (pow.f64 x 4) (-.f64 (.f64 y (.f64 y 2)) (pow.f64 y 4)))
(+.f64 (-.f64 (.f64 9 (pow.f64 y 4)) (pow.f64 x 4)) (.f64 2 (*.f64 x x)))
(+.f64 (fma.f64 9 (pow.f64 y 4) (neg.f64 (pow.f64 x 4))) (.f64 2 (.f64 x x)))
(fma.f64 2 (*.f64 x x) (fma.f64 9 (pow.f64 y 4) (neg.f64 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 2) (fma.f64 9 (pow.f64 y 4) (neg.f64 (pow.f64 x 4))))
(-.f64 (.f64 9 (pow.f64 y 4)) (.f64 (*.f64 x x) (fma.f64 x x -2)))
(-.f64 (fma.f64 9 (pow.f64 y 4) (.f64 2 (.f64 x x))) (pow.f64 x 4))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify29.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

625×	`unswap-sqr_binary64`
612×	`fma-def_binary64`
509×	`fma-neg_binary64`
441×	`cancel-sign-sub-inv_binary64`
280×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	28	20
2	79	20
3	184	20
4	505	20
5	1849	20
6	4514	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))

Outputs
(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))
(fma.f64 2 (.f64 y y) (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)))
(-.f64 (fma.f64 y (.f64 y 2) (.f64 9 (pow.f64 x 4))) (pow.f64 y 4))
(fma.f64 9 (pow.f64 x 4) (-.f64 (.f64 y (.f64 y 2)) (pow.f64 y 4)))
(-.f64 (.f64 9 (pow.f64 x 4)) (.f64 y (*.f64 y (fma.f64 y y -2))))
(fma.f64 9 (pow.f64 x 4) (.f64 (.f64 y y) (-.f64 2 (*.f64 y y))))

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

52.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	52.0b	(+.f64 (-.f64 (.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (.f64 2 (*.f64 y y)))

Compiler

Compiled 65 to 46 computations (29.2% saved)

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.0b	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series5.0ms (0.4%)

Counts

1 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
1.0ms	y	@	0	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
1.0ms	x	@	inf	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
1.0ms	y	@	inf	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))
0.0ms	y	@	-inf	(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite39.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`log1p-expm1-u_binary64`
863×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
95×	`add-log-exp_binary64`
95×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	201	13
2	2432	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 9 (pow.f64 x 4)) (.f64 (neg.f64 (pow.f64 y 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) (fma.f64 (neg.f64 (pow.f64 y 4)) 1 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 y 8)) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) (fma.f64 (neg.f64 (.f64 y y)) (.f64 y y) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 y 4)) (.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) (pow.f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 2) (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) (sqrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 81) (.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 8) 81) (pow.f64 y 8)) (/.f64 1 (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 3 (.f64 x x)) (.f64 y y)) (-.f64 (.f64 3 (.f64 x x)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 81) (.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)))) (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 (pow.f64 x 8) 81) (pow.f64 y 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12)) (+.f64 (.f64 (pow.f64 x 8) 81) (.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 8) 81) (pow.f64 y 8)) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12))) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 81) (.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 8) 81) (pow.f64 y 8))) (neg.f64 (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 (neg.f64 (pow.f64 y 4)) 3)) (+.f64 (.f64 (pow.f64 x 8) 81) (-.f64 (.f64 (neg.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 y 4))) (.f64 (.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 8) 81) (.f64 (neg.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 y 4)))) (-.f64 (.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 9 (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 81)) (cbrt.f64 (.f64 9 (pow.f64 x 4))) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (.f64 x x)) (.f64 3 (.f64 x x)) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9 (pow.f64 x 4)) (*.f64 (neg.f64 (pow.f64 y 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) (fma.f64 (neg.f64 (pow.f64 y 4)) 1 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 y 8)) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) (fma.f64 (neg.f64 (*.f64 y y)) (*.f64 y y) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 y 4)) (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) (pow.f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 2) (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) (sqrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 8) 81) (pow.f64 y 8)) (/.f64 1 (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)))) (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (*.f64 (pow.f64 x 8) 81) (pow.f64 y 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12)) (+.f64 (*.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 81) (pow.f64 y 8)) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 y 12))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 y 4) (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 81) (pow.f64 y 8))) (neg.f64 (fma.f64 9 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 729) (pow.f64 (neg.f64 (pow.f64 y 4)) 3)) (+.f64 (*.f64 (pow.f64 x 8) 81) (-.f64 (*.f64 (neg.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 y 4))) (*.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 81) (*.f64 (neg.f64 (pow.f64 y 4)) (neg.f64 (pow.f64 y 4)))) (-.f64 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 9 (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 81)) (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (*.f64 x x)) (*.f64 3 (*.f64 x x)) (neg.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (pow.f64 y 4)))) 1))))))

simplify52.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def_binary64`
408×	`unswap-sqr_binary64`
307×	`distribute-lft-neg-in_binary64`
303×	`distribute-rgt-neg-in_binary64`
258×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	19	39
2	41	39
3	82	39
4	204	39
5	651	39
6	1079	39
7	2083	39
8	2971	39
9	4029	39

Stop Event

1×	node limit

Counts

45 → 42

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 y 4))
(*.f64 9 (pow.f64 x 4))
(*.f64 9 (pow.f64 x 4))
(*.f64 9 (pow.f64 x 4))
(*.f64 -1 (pow.f64 y 4))
(*.f64 -1 (pow.f64 y 4))

Outputs
(*.f64 -1 (pow.f64 y 4))
(neg.f64 (pow.f64 y 4))
(*.f64 9 (pow.f64 x 4))
(*.f64 9 (pow.f64 x 4))
(*.f64 9 (pow.f64 x 4))
(*.f64 -1 (pow.f64 y 4))
(neg.f64 (pow.f64 y 4))
(*.f64 -1 (pow.f64 y 4))
(neg.f64 (pow.f64 y 4))

prune34.0ms (2.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	1	43

Error

Counts

43 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (.f64 (+.f64 (.f64 3 (.f64 x x)) (.f64 y y)) (-.f64 (.f64 3 (.f64 x x)) (.f64 y y))) (.f64 2 (*.f64 y y)))

Compiler

Compiled 999 to 702 computations (29.7% saved)

localize9.0ms (0.7%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 (.f64 (+.f64 (.f64 3 (.f64 x x)) (.f64 y y)) (-.f64 (.f64 3 (.f64 x x)) (.f64 y y))) (.f64 2 (*.f64 y y)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

regimes14.0ms (1.1%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

3 → 1

Compiler

Compiled 109 to 70 computations (35.8% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	23	37
2	31	37
3	35	37
4	37	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 (.f64 3 (.f64 x x)) (.f64 y y)) (-.f64 (.f64 3 (.f64 x x)) (.f64 y y))) (.f64 2 (*.f64 y y)))

Outputs

(+.f64 (*.f64 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 y y))) (*.f64 2 (*.f64 y y)))

(+.f64 (*.f64 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 3 (*.f64 x x)) (*.f64 y y))) (*.f64 (*.f64 y y) 2))

end48.0ms (3.6%)

Stop Event

1×

done

Compiler

Compiled 81 to 42 computations (48.1% saved)

Details

analyze1.0ms (0.1%)

sample1.1s (78.8%)

preprocess36.0ms (2.7%)

simplify29.0ms (2.2%)

prune2.0ms (0.2%)

localize8.0ms (0.6%)

series5.0ms (0.4%)

rewrite39.0ms (2.9%)

simplify52.0ms (3.9%)

prune34.0ms (2.6%)

localize9.0ms (0.7%)

prune1.0ms (0.1%)

regimes14.0ms (1.1%)

simplify2.0ms (0.2%)

end48.0ms (3.6%)

Profiling