Details

analyze1.6s (31.7%)

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
18.7%	81.1%	0.1%	9
28.1%	71.8%	0.1%	10
32.8%	67.1%	0.1%	11
39.8%	60.1%	0.1%	12
45.2%	54.5%	0.2%	13
48.6%	50.6%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample2.9s (58%)

Results

1.1s	5990×	body	128	valid
492.0ms	868×	body	1024	valid
376.0ms	508×	body	2048	valid
252.0ms	560×	body	512	valid
247.0ms	1341×	body	128	invalid
137.0ms	207×	body	1024	invalid
118.0ms	280×	body	512	invalid
103.0ms	330×	body	256	valid
60.0ms	191×	body	256	invalid

Compiler

Compiled 38 to 20 computations (47.4% saved)

preprocess56.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

407×	`distribute-lft-out--_binary64`
387×	`fma-def_binary64`
376×	`sub-neg_binary64`
219×	`fma-neg_binary64`
180×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	88
1	88	40
2	303	28
3	867	28
4	3219	28
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x z)) 0)
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(-.f64 (-.f64 (.f64 x y) (.f64 x z)) (-.f64 (.f64 x x) (.f64 x x)))
(+.f64 (*.f64 x (-.f64 y z)) 0)
(*.f64 x (-.f64 y z))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 y z) (+.f64 (.f64 x y) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 z x)) 0)
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))
(-.f64 (-.f64 (.f64 x z) (.f64 y z)) (-.f64 (.f64 z z) (.f64 z z)))
(+.f64 (*.f64 z (-.f64 x y)) 0)
(*.f64 z (-.f64 x y))

Compiler

Compiled 18 to 9 computations (50% saved)

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

450×	`unsub-neg_binary64`
408×	`fma-def_binary64`
335×	`fma-neg_binary64`
234×	`sub-neg_binary64`
185×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	27	10
2	89	7
3	250	7
4	802	7
5	3354	7
6	4797	7

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (-.f64 (.f64 y y) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x z)) 0)
(*.f64 y (-.f64 x z))

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))
	17.8b	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 75 to 39 computations (48% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
70×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1780	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-def_binary64`
126×	`fma-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
32×	`distribute-rgt-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Stop Event

1×

saturated

Counts

56 → 26

Calls

Call 1

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

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

prune23.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Alt Table

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

Compiler

Compiled 250 to 105 computations (58% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series16.0ms (0.3%)

Counts

1 → 18

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(-.f64 (.f64 y x) (.f64 y z))
1.0ms	y	@	-inf	(-.f64 (.f64 y x) (.f64 y z))
1.0ms	y	@	0	(-.f64 (.f64 y x) (.f64 y z))
1.0ms	y	@	inf	(-.f64 (.f64 y x) (.f64 y z))
1.0ms	x	@	-inf	(-.f64 (.f64 y x) (.f64 y z))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`
84×	`*-un-lft-identity_binary64`
84×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2299	7

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

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

Outputs

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

simplify28.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

143×	`fma-def_binary64`
90×	`fma-neg_binary64`
33×	`unsub-neg_binary64`
31×	`cancel-sign-sub-inv_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114

Stop Event

1×

saturated

Counts

73 → 60

Calls

Call 1

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

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

prune43.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Error

Counts

62 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 875 to 221 computations (74.7% saved)

regimes61.0ms (1.2%)

Accuracy

Total 0.0b remaining (71.7%)

Threshold costs 0.0b (71.7%)

Counts

6 → 1

Compiler

Compiled 280 to 168 computations (40% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	26	10
3	32	10
4	36	10
5	37	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end66.0ms (1.3%)

Stop Event

1×

done

Compiler

Compiled 38 to 23 computations (39.5% saved)

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114

Details

analyze1.6s (31.7%)

sample2.9s (58%)

preprocess56.0ms (1.1%)

simplify41.0ms (0.8%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

series11.0ms (0.2%)

rewrite50.0ms (1%)

simplify41.0ms (0.8%)

prune23.0ms (0.4%)

localize8.0ms (0.2%)

series16.0ms (0.3%)

rewrite62.0ms (1.2%)

simplify28.0ms (0.6%)

prune43.0ms (0.8%)

regimes61.0ms (1.2%)

simplify4.0ms (0.1%)

end66.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Iter	Nodes	Cost
0	13	114
1	28	114
2	63	114
3	144	114
4	269	114
5	430	114
6	592	114
7	663	114
8	665	114