Details

analyze484.0ms (26%)

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
53.2%	32.1%	14.7%	13
57.4%	27.4%	15.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.1s (58.5%)

Results

1.0s	8256×	body	128	valid
58.0ms	654×	body	128	invalid

preprocess19.0ms (1%)

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 8 to 5 computations (37.5% 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 (0.1%)

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 16 to 10 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

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

rewrite39.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_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 → 22

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

simplify14.0ms (0.7%)

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

58 → 27

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))

eval4.0ms (0.2%)

Compiler: Compiled 230 to 87 computations (62.2% saved)

prune22.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Alt Table

Click to see full alt table

Status	Error	Program
	27.8b	(*.f64 y z)
	40.1b	(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 x x (.f64 y (-.f64 y x))))
▶	0.0b	(+.f64 (.f64 x z) (.f64 y z))

Compiler

Compiled 74 to 46 computations (37.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

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

rewrite39.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
79×	`*-un-lft-identity_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 → 43

Calls

Call 1

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

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

Outputs

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

simplify20.0ms (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: 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

79 → 49

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))

eval9.0ms (0.5%)

Compiler: Compiled 588 to 200 computations (66% saved)

prune40.0ms (2.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	51	1	52

Error

Counts

52 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 y z (*.f64 x z))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize4.0ms (0.2%)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y z (*.f64 x z))

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes23.0ms (1.2%)

Accuracy

Total -49.4b remaining (-∞%)

Threshold costs -49.4b (-∞%)

Counts

5 → 1

Calls

Call 1

Inputs
(fma.f64 y z (*.f64 x z))
(*.f64 y z)
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 x x (.f64 y (-.f64 y x))))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 (+.f64 x y) z)

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

Results

Time	Error	Segments	Branch
4.0ms	0b	1	`x`
4.0ms	0b	1	`y`
4.0ms	0b	1	`z`
5.0ms	0b	1	`(*.f64 (+.f64 x y) z)`
4.0ms	0b	1	`(+.f64 x y)`

Compiler

Compiled 68 to 37 computations (45.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Calls

Call 1

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

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

end27.0ms (1.4%)

Stop Event

1×

done

Compiler

Compiled 36 to 20 computations (44.4% saved)

Details

analyze484.0ms (26%)

sample1.1s (58.5%)

preprocess19.0ms (1%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite39.0ms (2.1%)

simplify14.0ms (0.7%)

eval4.0ms (0.2%)

prune22.0ms (1.2%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite39.0ms (2.1%)

simplify20.0ms (1.1%)

eval9.0ms (0.5%)

prune40.0ms (2.1%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes23.0ms (1.2%)

simplify2.0ms (0.1%)

end27.0ms (1.4%)

Profiling