Details

analyze171.0ms (7.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
34.3%	56.9%	8.7%	10
40.6%	49.9%	9.5%	11
48%	41.9%	10.1%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.3s (57.5%)

Results

991.0ms	8256×	body	256	valid
308.0ms	1126×	body	256	invalid

preprocess16.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

12×	`fma-def_binary64`
7×	`*-commutative_binary64`
6×	`distribute-lft-in_binary64`
6×	`distribute-rgt-in_binary64`
5×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	18	28
2	36	28
3	56	28
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`distribute-lft-in_binary64`
2×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	16	7
3	24	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 (+.f64 x y) z)
1.0ms	z	@	0	(*.f64 (+.f64 x y) z)
1.0ms	x	@	inf	(*.f64 (+.f64 x y) z)
1.0ms	x	@	0	(*.f64 (+.f64 x y) z)
0.0ms	z	@	inf	(*.f64 (+.f64 x y) z)

rewrite43.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1772	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	264
1	15	234
2	18	234

Stop Event

1×

saturated

Counts

57 → 26

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 221 to 85 computations (61.5% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Error

0.0b

Counts

27 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x z) (.f64 y z))
▶	28.1b	(*.f64 z x)
▶	27.8b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)
▶	30.8b	(*.f64 y z)
✓	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 41 to 27 computations (34.1% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize10.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.9b	(sqrt.f64 (*.f64 (+.f64 x y) z))
	0.3b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)
	0.0b	(*.f64 (+.f64 x y) z)
	0.0b	(*.f64 (+.f64 x y) z)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)
✓	3.9b	(sqrt.f64 (*.f64 (+.f64 x y) z))

Compiler

Compiled 29 to 9 computations (69% saved)

series19.0ms (0.8%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)
1.0ms	y	@	inf	(sqrt.f64 (*.f64 (+.f64 x y) z))
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)

rewrite57.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
804×	`add-log-exp_binary64`
803×	`log1p-expm1-u_binary64`
803×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	194	16
2	2215	16

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (+.f64 x y) z))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2)

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

Outputs

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

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

simplify47.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

673×	`distribute-rgt-out_binary64`
567×	`associate-*l/_binary64`
517×	`associate-*r/_binary64`
516×	`fma-def_binary64`
501×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	288
1	246	278
2	778	278
3	3057	278
4	7614	278

Stop Event

1×	node limit

Counts

76 → 82

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)) (sqrt.f64 (*.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2))))))
(sqrt.f64 (*.f64 z x))
(+.f64 (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x)))) (sqrt.f64 (*.f64 z x)))
(+.f64 (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (sqrt.f64 (*.f64 z x))))
(+.f64 (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 z (pow.f64 x 5))))) (sqrt.f64 (*.f64 z x)))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (+.f64 (.f64 z x) (.f64 (+.f64 (.f64 1/4 (/.f64 z y)) (*.f64 -1/4 (/.f64 z y))) (pow.f64 x 2))))
(+.f64 (.f64 y z) (+.f64 (.f64 z x) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 z y)) (.f64 -1/4 (/.f64 z y))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/8 (/.f64 z (pow.f64 y 2))) (.f64 -1/8 (/.f64 z (pow.f64 y 2)))) (pow.f64 x 3)))))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 z x)) (.f64 -1/4 (/.f64 z x)))) (*.f64 z x)))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 z x)) (.f64 -1/4 (/.f64 z x)))) (+.f64 (.f64 z x) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 z (pow.f64 x 2))) (.f64 1/8 (/.f64 z (pow.f64 x 2))))))))

Outputs
(sqrt.f64 (*.f64 y z))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)) (sqrt.f64 (*.f64 y z)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (sqrt.f64 (.f64 y z)))
(fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 z y))) x (sqrt.f64 (.f64 y z)))
(fma.f64 (sqrt.f64 (/.f64 z y)) (.f64 1/2 x) (sqrt.f64 (.f64 y z)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2)))))
(+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (sqrt.f64 (.f64 y z))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 z (pow.f64 y 3)))) (*.f64 x x)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y 3))))) (sqrt.f64 (.f64 y z))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (fma.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 -1/8 (.f64 x x)) (sqrt.f64 (.f64 y z))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (fma.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 x (.f64 x -1/8)) (sqrt.f64 (.f64 y z))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x)) (+.f64 (sqrt.f64 (.f64 y z)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (pow.f64 x 2))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3)) (+.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (sqrt.f64 (.f64 y z))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 z (pow.f64 y 3)))) (.f64 x x))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (fma.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 (/.f64 z (pow.f64 y 3))))) (sqrt.f64 (*.f64 y z)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3)) (fma.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 -1/8 (.f64 x x)) (sqrt.f64 (*.f64 y z)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 z y)) x) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (pow.f64 x 3)) (fma.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 x (.f64 x -1/8)) (sqrt.f64 (*.f64 y z)))))
(sqrt.f64 (*.f64 z x))
(+.f64 (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x)))) (sqrt.f64 (*.f64 z x)))
(fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (.f64 z x)))
(fma.f64 (sqrt.f64 (/.f64 z x)) (.f64 y 1/2) (sqrt.f64 (.f64 z x)))
(fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (.f64 z x)))
(+.f64 (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (sqrt.f64 (*.f64 z x))))
(fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x))) (fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 z (pow.f64 x 3)))) (sqrt.f64 (.f64 z x))))
(fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x))) (fma.f64 -1/8 (.f64 y (.f64 y (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (sqrt.f64 (.f64 z x))))
(fma.f64 (.f64 y y) (.f64 -1/8 (sqrt.f64 (/.f64 z (pow.f64 x 3)))) (fma.f64 (sqrt.f64 (/.f64 z x)) (.f64 y 1/2) (sqrt.f64 (.f64 z x))))
(fma.f64 (.f64 y y) (.f64 -1/8 (sqrt.f64 (/.f64 z (pow.f64 x 3)))) (fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 z x))) (sqrt.f64 (.f64 z x))))
(+.f64 (.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 z (pow.f64 x 5))))) (sqrt.f64 (*.f64 z x)))))
(fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x))) (fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 z (pow.f64 x 3)))) (fma.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 z (pow.f64 x 5)))) (sqrt.f64 (*.f64 z x)))))
(fma.f64 1/2 (.f64 y (sqrt.f64 (/.f64 z x))) (fma.f64 -1/8 (.f64 y (.f64 y (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (fma.f64 1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 z (pow.f64 x 5)))) (sqrt.f64 (*.f64 z x)))))
(fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 z x))) (fma.f64 -1/8 (.f64 y (.f64 y (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (fma.f64 (pow.f64 y 3) (.f64 1/16 (sqrt.f64 (/.f64 z (pow.f64 x 5)))) (sqrt.f64 (*.f64 z x)))))
(fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (/.f64 z (pow.f64 x 3)))) (fma.f64 y (.f64 1/2 (sqrt.f64 (/.f64 z x))) (fma.f64 (pow.f64 y 3) (.f64 1/16 (sqrt.f64 (/.f64 z (pow.f64 x 5)))) (sqrt.f64 (*.f64 z x)))))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (+.f64 (.f64 z x) (.f64 (+.f64 (.f64 1/4 (/.f64 z y)) (*.f64 -1/4 (/.f64 z y))) (pow.f64 x 2))))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (+.f64 (.f64 z x) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 z y)) (.f64 -1/4 (/.f64 z y))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/8 (/.f64 z (pow.f64 y 2))) (.f64 -1/8 (/.f64 z (pow.f64 y 2)))) (pow.f64 x 3)))))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 z x)) (.f64 -1/4 (/.f64 z x)))) (*.f64 z x)))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 z x)) (.f64 -1/4 (/.f64 z x)))) (+.f64 (.f64 z x) (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 z (pow.f64 x 2))) (.f64 1/8 (/.f64 z (pow.f64 x 2))))))))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))

localize3.0ms (0.2%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (.f64 x z) (.f64 y z))
1.0ms	z	@	inf	(+.f64 (.f64 x z) (.f64 y z))
1.0ms	z	@	-inf	(+.f64 (.f64 x z) (.f64 y z))
1.0ms	z	@	0	(+.f64 (.f64 x z) (.f64 y z))
0.0ms	x	@	inf	(+.f64 (.f64 x z) (.f64 y z))

rewrite44.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
757×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	2105	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify22.0ms (1%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
41×	`cancel-sign-sub-inv_binary64`
30×	`distribute-rgt-in_binary64`
28×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	264
1	34	234
2	80	234
3	208	234
4	384	234
5	517	234
6	627	234
7	632	234

Stop Event

1×

saturated

Counts

77 → 47

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))

Outputs
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 y z) (.f64 z x))
(fma.f64 y z (*.f64 z x))
(*.f64 z (+.f64 y x))

eval40.0ms (1.7%)

Compiler: Compiled 2046 to 766 computations (62.6% saved)

prune26.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	154	6	160

Error

Counts

160 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.8b	(*.f64 y z)
▶	0.0b	(fma.f64 z y (*.f64 x z))
✓	0.0b	(+.f64 (.f64 x z) (.f64 y z))
✓	28.1b	(*.f64 z x)
▶	0.0b	(fma.f64 z x (*.f64 z y))
✓	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 48 to 29 computations (39.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 z x (*.f64 z y))
✓	0.0b	(fma.f64 z x (*.f64 z y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(fma.f64 z x (*.f64 z y))
1.0ms	z	@	inf	(fma.f64 z x (*.f64 z y))
0.0ms	x	@	-inf	(fma.f64 z x (*.f64 z y))
0.0ms	x	@	inf	(fma.f64 z x (*.f64 z y))
0.0ms	y	@	0	(fma.f64 z x (*.f64 z y))

rewrite40.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1414	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify26.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
41×	`cancel-sign-sub-inv_binary64`
30×	`distribute-rgt-in_binary64`
28×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	234
1	34	234
2	80	234
3	208	234
4	384	234
5	517	234
6	627	234
7	632	234

Stop Event

1×

saturated

Counts

58 → 28

Calls

Call 1

Inputs
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))

Outputs
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 z y (*.f64 x z))
✓	0.0b	(fma.f64 z y (*.f64 x z))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(fma.f64 z y (*.f64 x z))
0.0ms	z	@	-inf	(fma.f64 z y (*.f64 x z))
0.0ms	y	@	-inf	(fma.f64 z y (*.f64 x z))
0.0ms	x	@	0	(fma.f64 z y (*.f64 x z))
0.0ms	z	@	inf	(fma.f64 z y (*.f64 x z))

rewrite44.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1414	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify31.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
41×	`cancel-sign-sub-inv_binary64`
30×	`distribute-rgt-in_binary64`
28×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	234
1	34	234
2	80	234
3	208	234
4	384	234
5	517	234
6	627	234
7	632	234

Stop Event

1×

saturated

Counts

58 → 28

Calls

Call 1

Inputs
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 z x)
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))
(+.f64 (.f64 y z) (.f64 z x))

Outputs
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(.f64 -1 (.f64 (+.f64 (.f64 -1 x) (.f64 -1 y)) z))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)
(+.f64 (.f64 y z) (.f64 z x))
(*.f64 (+.f64 y x) z)

eval9.0ms (0.4%)

Compiler: Compiled 515 to 153 computations (70.3% saved)

prune14.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	56	6	62

Error

Counts

62 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.8b	(*.f64 y z)
✓	0.0b	(fma.f64 z y (*.f64 x z))
✓	0.0b	(+.f64 (.f64 x z) (.f64 y z))
✓	28.1b	(*.f64 z x)
✓	0.0b	(fma.f64 z x (*.f64 z y))
✓	0.0b	(*.f64 (+.f64 x y) z)

Compiler

Compiled 48 to 29 computations (39.6% saved)

regimes27.0ms (1.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y z)
(*.f64 (+.f64 x y) z)
(+.f64 (.f64 x z) (.f64 y z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 x z))

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

Calls

5 calls:

7.0ms	z
5.0ms	(+.f64 x y)
5.0ms	y
5.0ms	(*.f64 (+.f64 x y) z)
5.0ms	x

Results

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

Compiler

Compiled 59 to 30 computations (49.2% saved)

regimes31.0ms (1.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y z)
(*.f64 (+.f64 x y) z)
(+.f64 (.f64 x z) (.f64 y z))
(fma.f64 z x (*.f64 z y))

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

Calls

5 calls:

10.0ms	x
4.0ms	(+.f64 x y)
4.0ms	z
4.0ms	y
4.0ms	(*.f64 (+.f64 x y) z)

Results

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes23.0ms (1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	x
4.0ms	z
4.0ms	(+.f64 x y)
4.0ms	y
4.0ms	(*.f64 (+.f64 x y) z)

Results

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

Compiler

Compiled 47 to 27 computations (42.6% saved)

regimes21.0ms (0.9%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	y
4.0ms	(+.f64 x y)
4.0ms	z
4.0ms	x
3.0ms	(*.f64 (+.f64 x y) z)

Results

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

regimes41.0ms (1.8%)

Accuracy

Total -48.9b remaining (-570.2%)

Threshold costs -48.9b (-570.2%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
11.0ms	x
9.0ms	y

Results

Error	Segments	Branch
8.6b	4	`x`
10.5b	2	`y`
21.1b	6	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch47.0ms (2.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
16.0ms	-7.5623579938513935e-87	-9.058352636443689e-89
16.0ms	-4.941277679574535e-23	-2.4879835328261596e-23
16.0ms	-7.448530240903691e-6	-3.63271812111385e-12

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	29	71

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 z y (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 (+.f64 x y) z)
(if (<=.f64 x -8793672389071139/1180591620717411303424) (.f64 z x) (if (<=.f64 x -16814296644192254/340282366920938463463374607431768211456) (.f64 y z) (if (<=.f64 x -8468875777597473/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 z x) (.f64 y z))))
(*.f64 z x)

Outputs
(fma.f64 z y (*.f64 x z))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 z x) (.f64 z y))
(*.f64 (+.f64 x y) z)
(*.f64 z (+.f64 y x))
(if (<=.f64 x -8793672389071139/1180591620717411303424) (.f64 z x) (if (<=.f64 x -16814296644192254/340282366920938463463374607431768211456) (.f64 y z) (if (<=.f64 x -8468875777597473/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 z x) (.f64 y z))))
(if (<=.f64 x -8793672389071139/1180591620717411303424) (.f64 z x) (if (<=.f64 x -8407148322096127/170141183460469231731687303715884105728) (.f64 z y) (if (<=.f64 x -8468875777597473/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (.f64 z x) (.f64 z y))))
(*.f64 z x)

end40.0ms (1.8%)

Stop Event

1×

done

Remove

(sort x y)

Compiler

Compiled 141 to 68 computations (51.8% saved)

Details

analyze171.0ms (7.5%)

sample1.3s (57.5%)

preprocess16.0ms (0.7%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series6.0ms (0.3%)

rewrite43.0ms (1.9%)

simplify12.0ms (0.5%)

eval5.0ms (0.2%)

prune6.0ms (0.2%)

localize3.0ms (0.1%)

localize10.0ms (0.5%)

series19.0ms (0.8%)

rewrite57.0ms (2.5%)

simplify47.0ms (2.1%)

localize3.0ms (0.2%)

localize8.0ms (0.3%)

series6.0ms (0.2%)

rewrite44.0ms (1.9%)

simplify22.0ms (1%)

eval40.0ms (1.7%)

prune26.0ms (1.1%)

localize6.0ms (0.3%)

series4.0ms (0.2%)

rewrite40.0ms (1.7%)

simplify26.0ms (1.1%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite44.0ms (1.9%)

simplify31.0ms (1.3%)

eval9.0ms (0.4%)

prune14.0ms (0.6%)

regimes27.0ms (1.2%)

regimes31.0ms (1.3%)

regimes23.0ms (1%)

regimes21.0ms (0.9%)

regimes41.0ms (1.8%)

bsearch47.0ms (2.1%)

simplify3.0ms (0.1%)

end40.0ms (1.8%)

Profiling