Details

analyze53.0ms (3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
36.4%	25%	43.7%	0.1%	31.2%	0%	0%	7
50%	31.2%	31.2%	0.1%	37.5%	0%	0%	8
62.5%	39%	23.4%	0.1%	37.5%	0%	0%	9
72.4%	42.9%	16.4%	0.1%	40.6%	0%	0%	10
79.6%	47.2%	12.1%	0.1%	40.6%	0%	0%	11
85.5%	49.4%	8.4%	0.1%	42.1%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample831.0ms (46.2%)

Results

792.0ms	8256×	body	256	valid
26.0ms	261×	body	256	infinite

Bogosity

preprocess5.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

52×	`fma-def`
26×	`+-commutative`
8×	`*-commutative`
8×	`associate-+l+`
6×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	30	42
2	59	42
3	71	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))
(+.f64 (+.f64 (.f64 y 2) (.f64 y y)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 y (+.f64 2 y)))
(fma.f64 y (+.f64 2 y) (*.f64 x x))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def`
14×	`+-commutative`
4×	`*-commutative`
4×	`associate-+l+`
2×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	19	21
2	34	21
3	41	21

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(fma.f64 x (+.f64 x 2) (*.f64 y y))

eval1.0ms (0%)

Compiler: Compiled 30 to 15 computations (50% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 2 x))

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x (+.f64 2 x))
1.0ms	x	@	inf	(*.f64 x (+.f64 2 x))
0.0ms	x	@	0	(*.f64 x (+.f64 2 x))

rewrite50.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`add-sqr-sqrt`
1398×	`*-un-lft-identity`
1316×	`add-cube-cbrt`
1302×	`add-cbrt-cube`
1292×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	134	13
2	1713	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 x (+.f64 2 x))

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

Outputs

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

simplify48.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-*r/`
1214×	`associate-*l/`
786×	`associate-+r+`
666×	`associate-+l+`
648×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	569
1	216	521
2	864	521
3	3487	513

Stop Event

1×	node limit

Counts

35 → 34

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (.f64 x x) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(+.f64 (.f64 (.f64 x 2) 1) (.f64 (.f64 x x) 1))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (.f64 x (-.f64 4 (.f64 x x))) (-.f64 2 x))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (.f64 (-.f64 4 (.f64 x x)) x) (-.f64 2 x))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x 2) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (*.f64 x x)))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 (.f64 x 2) 1) (.f64 (.f64 x x) 1))
(*.f64 x (+.f64 2 x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 x (-.f64 4 (.f64 x x))) (-.f64 2 x))
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 (+.f64 4 (*.f64 x (+.f64 x -2))) x))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x (+.f64 x -2) 4))
(/.f64 (.f64 (-.f64 4 (.f64 x x)) x) (-.f64 2 x))
(*.f64 x (+.f64 2 x))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (+.f64 4 (.f64 x (-.f64 x 2))))
(/.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 (+.f64 4 (*.f64 x (+.f64 x -2))) x))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x (+.f64 x -2) 4))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x 2) (.f64 x x)))
(*.f64 x (+.f64 2 x))
(/.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 2 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x -2) 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x -2) 4)))
(*.f64 (/.f64 x 1) (/.f64 (+.f64 8 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2) 4)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))

localize61.0ms (3.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 32 to 14 computations (56.3% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 x 2) (.f64 x x))
0.0ms	x	@	-inf	(+.f64 (.f64 x 2) (.f64 x x))
0.0ms	x	@	inf	(+.f64 (.f64 x 2) (.f64 x x))

rewrite146.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`add-sqr-sqrt`
1568×	`*-un-lft-identity`
1470×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
154×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2025	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(+.f64 (.f64 x 2) (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x 2) 2) (.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (/.f64 1 (.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (.f64 x x) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4))) (neg.f64 (.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 x 4)) (/.f64 1 (*.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 2 x)) (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x 2) 2)) (-.f64 (*.f64 x x) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 x 4))) (neg.f64 (*.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 x x))))))

simplify67.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1192×	`associate-+r+`
1074×	`associate-+l+`
976×	`times-frac`
966×	`associate-/r/`
514×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1183
1	282	1153
2	1078	1103
3	5206	1103

Stop Event

1×	node limit

Counts

53 → 55

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x 2) 2) (.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 2 x))))
(*.f64 x (+.f64 x 2))
(.f64 (.f64 x (+.f64 x 2)) 1)
(.f64 1 (.f64 x (+.f64 x 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 (+.f64 x 2) x)
(.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (/.f64 1 (*.f64 x (-.f64 2 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3))))))
(/.f64 1 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (.f64 x x) (*.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4))) (neg.f64 (.f64 x (-.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3))))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x 2)))) 1)
(*.f64 x (+.f64 2 x))
(-.f64 (/.f64 (pow.f64 (.f64 x 2) 2) (.f64 x (-.f64 2 x))) (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(*.f64 x (+.f64 x 2))
(*.f64 x (+.f64 2 x))
(.f64 (.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(.f64 1 (.f64 x (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(*.f64 x (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(*.f64 (+.f64 x 2) x)
(*.f64 x (+.f64 2 x))
(.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (/.f64 1 (*.f64 x (-.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) 1) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 1 (/.f64 (.f64 x (-.f64 2 x)) (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (.f64 2 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 x 6))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) 1) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) 1) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 x 2) 2) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) 1) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x 2) 2)) (-.f64 (.f64 x x) (*.f64 x 2)))
(/.f64 (-.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x 2) 2) (pow.f64 x 4))) (neg.f64 (.f64 x (-.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 2 x) 2) (pow.f64 x 4)) (.f64 x (-.f64 2 x)))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (-.f64 (pow.f64 x 4) (*.f64 2 (pow.f64 x 3))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) 1) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 2 x) 2) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 4 (.f64 x x) (.f64 (pow.f64 x 3) (+.f64 x -2))))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 2 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 2 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 2 x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 2 x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 2)))))
(*.f64 x (+.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 2))) 1))
(*.f64 x (+.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 2 x))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 x 2 (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 2 x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 2 x))
(fma.f64 2 x (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(*.f64 x (+.f64 2 x))

eval26.0ms (1.5%)

Compiler: Compiled 1401 to 800 computations (42.9% saved)

prune10.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Error

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
✓	0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
▶	20.2b	(+.f64 (.f64 x x) (.f64 y y))
▶	15.2b	(+.f64 (.f64 2 x) (.f64 y y))

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize6.0ms (0.3%)

Compiler: Compiled 18 to 9 computations (50% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 x x) (.f64 y y))
0.0ms	y	@	0	(+.f64 (.f64 x x) (.f64 y y))
0.0ms	y	@	inf	(+.f64 (.f64 x x) (.f64 y y))
0.0ms	x	@	inf	(+.f64 (.f64 x x) (.f64 y y))
0.0ms	y	@	-inf	(+.f64 (.f64 x x) (.f64 y y))

rewrite66.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`add-sqr-sqrt`
1514×	`*-un-lft-identity`
1414×	`add-cube-cbrt`
1402×	`add-cbrt-cube`
1392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	150	13
2	2020	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 y y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 y y))))))

simplify59.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1282×	`distribute-lft-in`
1084×	`associate-r`
952×	`associate-+r+`
878×	`associate-*r/`
784×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1500
1	223	1368
2	885	1278
3	4191	1278

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

Inputs
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(pow.f64 y 2)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 x y) 2)) 1)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (.f64 x x) (.f64 y y))))
(*.f64 (pow.f64 (hypot.f64 x y) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 x y) 2))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x x) (*.f64 y y))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2)))))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (.f64 y y) (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (-.f64 (.f64 x x) (.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))
(pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)
(pow.f64 (hypot.f64 x y) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 y y))
(fma.f64 1 (.f64 y y) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 y y))

Outputs
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(+.f64 (pow.f64 y 2) (pow.f64 x 2))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(-.f64 (+.f64 1 (pow.f64 (hypot.f64 x y) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(-.f64 (/.f64 (pow.f64 x 4) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (.f64 x x) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y (neg.f64 y) (*.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x y) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(*.f64 1 (pow.f64 (hypot.f64 x y) 2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (cbrt.f64 (pow.f64 (hypot.f64 x y) 4)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (cbrt.f64 (pow.f64 (hypot.f64 x y) 4)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y (neg.f64 y) (*.f64 x x)))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (.f64 x y) 2)))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 1 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y (neg.f64 y) (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y (neg.f64 y) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (.f64 y y) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y (neg.f64 y) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (-.f64 (.f64 x x) (.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 y (neg.f64 y) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))
(.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y x) 2))))
(pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(pow.f64 (hypot.f64 x y) 2)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 3)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)) 1))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))
(+.f64 1 (-.f64 (pow.f64 (hypot.f64 x y) 2) 1))
(+.f64 (pow.f64 (hypot.f64 x y) 2) 0)
(pow.f64 (hypot.f64 x y) 2)
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(fma.f64 1 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 1 (.f64 y y) (.f64 x x))
(fma.f64 x x (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))
(fma.f64 x x (*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 y y))

eval11.0ms (0.6%)

Compiler: Compiled 551 to 313 computations (43.2% saved)

prune8.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	46	5	51

Error

Counts

51 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
✓	0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
✓	15.2b	(+.f64 (.f64 2 x) (.f64 y y))
▶	34.4b	(*.f64 y y)
▶	47.1b	(*.f64 x x)

Compiler

Compiled 43 to 27 computations (37.2% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 3 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
✓	0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
✓	15.2b	(+.f64 (.f64 2 x) (.f64 y y))
✓	34.4b	(*.f64 y y)
✓	47.1b	(*.f64 x x)

Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes57.0ms (3.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))

Calls

5 calls:

36.0ms	(*.f64 y y)
6.0ms	y
5.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
5.0ms	(+.f64 (.f64 x 2) (.f64 x x))
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))`
0.0b	1	`(+.f64 (.f64 x 2) (.f64 x x))`
0.0b	1	`(*.f64 y y)`

Compiler

Compiled 75 to 37 computations (50.7% saved)

regimes55.0ms (3%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 2 x) (.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))

Calls

3 calls:

35.0ms	y
11.0ms	x
8.0ms	(*.f64 y y)

Results

Error	Segments	Branch
1.3b	3	`x`
9.6b	5	`y`
11.2b	2	`(*.f64 y y)`

Compiler

Compiled 33 to 15 computations (54.5% saved)

bsearch31.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.5755186949534845	147.13923057430083
19.0ms	-379070.76727241586	-0.10097507665807774

Results

27.0ms

256×

body

256

valid

Compiler

Compiled 338 to 220 computations (34.9% saved)

regimes24.0ms (1.4%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(*.f64 x x)
(+.f64 (.f64 2 x) (.f64 y y))
(*.f64 x x)

Calls

3 calls:

11.0ms	x
10.0ms	y
3.0ms	(*.f64 y y)

Results

Error	Segments	Branch
3.8b	3	`x`
14.0b	3	`y`
15.2b	1	`(*.f64 y y)`

Compiler

Compiled 26 to 14 computations (46.2% saved)

bsearch27.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	304423413848095940.0	7.72424611788457e+19
15.0ms	-379070.76727241586	-0.10097507665807774

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 274 to 188 computations (31.4% saved)

regimes27.0ms (1.5%)

Accuracy

Total -38.5b remaining (-167.8%)

Threshold costs -38.5b (-167.8%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 y y)

Outputs
(*.f64 x x)
(*.f64 y y)
(*.f64 x x)

Calls

3 calls:

11.0ms	y
11.0ms	x
4.0ms	(*.f64 y y)

Results

Error	Segments	Branch
22.9b	3	`x`
27.1b	3	`y`
27.1b	2	`(*.f64 y y)`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch29.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1970297090.2071166	42240633762506490.0
15.0ms	-379070.76727241586	-0.10097507665807774

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 234 to 156 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`if-if-or-not`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	185
1	50	185

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(if (<=.f64 x -2) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 2) (+.f64 (.f64 2 x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 x -53000) (.f64 x x) (if (<=.f64 x 5000000000000000000) (+.f64 (.f64 2 x) (.f64 y y)) (.f64 x x)))
(if (<=.f64 x -90000) (.f64 x x) (if (<=.f64 x 135000000000) (.f64 y y) (*.f64 x x)))
(*.f64 x x)

Outputs
(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
(if (<=.f64 x -2) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x 2) (+.f64 (.f64 2 x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (+.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 y y) (.f64 x 2)))
(if (<=.f64 x -53000) (.f64 x x) (if (<=.f64 x 5000000000000000000) (+.f64 (.f64 2 x) (.f64 y y)) (.f64 x x)))
(if (<=.f64 x -53000) (.f64 x x) (if (<=.f64 x 5000000000000000000) (+.f64 (.f64 y y) (.f64 x 2)) (.f64 x x)))
(if (<=.f64 x -90000) (.f64 x x) (if (<=.f64 x 135000000000) (.f64 y y) (*.f64 x x)))
(*.f64 x x)

Compiler

Compiled 83 to 48 computations (42.2% saved)

soundness13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def`
14×	`+-commutative`
4×	`*-commutative`
4×	`associate-+l+`
2×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	19	21
2	34	21
3	41	21

Stop Event

1×

saturated

Compiler

Compiled 22 to 12 computations (45.5% saved)

end35.0ms (2%)

Compiler: Compiled 75 to 34 computations (54.7% saved)

Details

analyze53.0ms (3%)

sample831.0ms (46.2%)

preprocess5.0ms (0.3%)

simplify13.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize10.0ms (0.5%)

series2.0ms (0.1%)

rewrite50.0ms (2.8%)

simplify48.0ms (2.7%)

localize61.0ms (3.4%)

series1.0ms (0.1%)

rewrite146.0ms (8.1%)

simplify67.0ms (3.8%)

eval26.0ms (1.5%)

prune10.0ms (0.6%)

localize6.0ms (0.3%)

localize7.0ms (0.4%)

series2.0ms (0.1%)

rewrite66.0ms (3.7%)

simplify59.0ms (3.3%)

eval11.0ms (0.6%)

prune8.0ms (0.5%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes57.0ms (3.2%)

regimes55.0ms (3%)

bsearch31.0ms (1.7%)

regimes24.0ms (1.4%)

bsearch27.0ms (1.5%)

regimes27.0ms (1.5%)

bsearch29.0ms (1.6%)

simplify6.0ms (0.3%)

soundness13.0ms (0.7%)

end35.0ms (2%)

Profiling