Details

analyze363.0ms (18.2%)

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
37.4%	62.4%	0.1%	9
46.8%	47.6%	5.6%	10
54.6%	39.4%	6%	11
62.8%	31%	6.2%	12
66.9%	23.9%	9.2%	13
71.7%	19%	9.4%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample818.0ms (41%)

Results

777.0ms	8256×	body	128	valid
28.0ms	311×	body	128	invalid

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess39.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

162×	`fma-def_binary64`
153×	`fma-neg_binary64`
48×	`cancel-sign-sub-inv_binary64`
31×	`sub-neg_binary64`
27×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	33	28
2	60	28
3	105	28
4	154	28
5	285	28
6	469	28
7	620	28
8	722	28
9	743	28
10	746	28
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

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

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

Symmetry

(sort y z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
56×	`fma-neg_binary64`
29×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
13×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	24	7
3	41	7
4	60	7
5	94	7
6	149	7
7	199	7
8	263	7
9	337	7
10	387	7
11	393	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

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

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 9

Calls

9 calls:

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

rewrite44.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
72×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	7
2	1857	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify14.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
9×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	34
1	12	34
2	25	34
3	29	34
4	33	34
5	51	34
6	73	34
7	84	34
8	96	34
9	121	34

Stop Event

1×

saturated

Counts

47 → 41

Calls

Call 1

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

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

prune26.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Error

0.0b

Counts

42 → 2

Alt Table

Status	Error	Program
	30.8b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
▶	0.0b	(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 z) y (.f64 y z)))

Compiler

Compiled 577 to 190 computations (67.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 y z))
✓	53.3b	(fma.f64 (neg.f64 z) y (*.f64 y z))

series6.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(fma.f64 (neg.f64 z) y (*.f64 y z))
1.0ms	y	@	-inf	(fma.f64 (neg.f64 z) y (*.f64 y z))
1.0ms	z	@	0	(fma.f64 (neg.f64 z) y (*.f64 y z))
1.0ms	z	@	inf	(fma.f64 (neg.f64 z) y (*.f64 y z))
1.0ms	y	@	0	(fma.f64 (neg.f64 z) y (*.f64 y z))

rewrite37.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`pow1_binary64`
452×	`add-log-exp_binary64`
451×	`log1p-expm1-u_binary64`
451×	`expm1-log1p-u_binary64`
442×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1536	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

prune28.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Error

0.0b

Counts

64 → 2

Alt Table

Status	Error	Program
▶	30.8b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
✓	0.0b	(+.f64 (-.f64 x (.f64 y z)) (fma.f64 (neg.f64 z) y (.f64 y z)))

Compiler

Compiled 1218 to 313 computations (74.3% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y z))
✓	0.2b	(pow.f64 (*.f64 y z) 2)
✓	2.6b	(-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))
✓	29.1b	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))

series19.0ms (1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
1.0ms	z	@	inf	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2)) (+.f64 x (*.f64 y z)))
1.0ms	y	@	inf	(-.f64 (.f64 x x) (pow.f64 (.f64 y z) 2))

rewrite111.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`fma-def_binary64`
257×	`fma-neg_binary64`
219×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`
201×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	254	32
2	3734	32

Stop Event

1×	node limit

Counts

4 → 375

Calls

Call 1

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

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

simplify85.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg_binary64`
373×	`fma-def_binary64`
317×	`distribute-rgt-neg-in_binary64`
304×	`distribute-lft-neg-in_binary64`
263×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	1130
1	47	1130
2	104	1076
3	297	1076
4	1268	1076
5	2996	1076
6	4368	1076

Stop Event

1×	node limit

Counts

507 → 389

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
x
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
x
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
x
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
x
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
x
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) x)

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
x
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
x
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
x
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
x
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(neg.f64 (.f64 (.f64 y y) (*.f64 z z)))
(.f64 (.f64 y y) (neg.f64 (*.f64 z z)))
(.f64 y (.f64 y (neg.f64 (*.f64 z z))))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(neg.f64 (.f64 (.f64 y y) (*.f64 z z)))
(.f64 (.f64 y y) (neg.f64 (*.f64 z z)))
(.f64 y (.f64 y (neg.f64 (*.f64 z z))))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(neg.f64 (.f64 (.f64 y y) (*.f64 z z)))
(.f64 (.f64 y y) (neg.f64 (*.f64 z z)))
(.f64 y (.f64 y (neg.f64 (*.f64 z z))))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(neg.f64 (.f64 (.f64 y y) (*.f64 z z)))
(.f64 (.f64 y y) (neg.f64 (*.f64 z z)))
(.f64 y (.f64 y (neg.f64 (*.f64 z z))))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 z 2)))
(neg.f64 (.f64 (.f64 y y) (*.f64 z z)))
(.f64 (.f64 y y) (neg.f64 (*.f64 z z)))
(.f64 y (.f64 y (neg.f64 (*.f64 z z))))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(-.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (pow.f64 z 2)))
(-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z)))
(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 z z))))
(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
(*.f64 (fma.f64 y z x) (fma.f64 z (neg.f64 y) x))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 (pow.f64 y 2) (pow.f64 z 2))
(.f64 (.f64 y y) (*.f64 z z))
(.f64 y (.f64 y (*.f64 z z)))
(.f64 z (.f64 y (*.f64 y z)))
(.f64 z (.f64 z (*.f64 y y)))
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
x
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(*.f64 y z)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)
(+.f64 (*.f64 y z) x)
(fma.f64 y z x)

prune185.0ms (9.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	388	1	389
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	390	1	391

Error

Counts

391 → 1

Alt Table

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

Compiler

Compiled 9337 to 3130 computations (66.5% saved)

localize4.0ms (0.2%)

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

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes135.0ms (6.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

26 → 1

Compiler

Compiled 244 to 88 computations (63.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
3	13	7

Stop Event

1×

saturated

Calls

Call 1

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

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

end36.0ms (1.8%)

Stop Event

1×

done

Remove

(sort y z)

Compiler

Compiled 40 to 25 computations (37.5% saved)

Iter	Nodes	Cost
0	12	28
1	33	28
2	60	28
3	105	28
4	154	28
5	285	28
6	469	28
7	620	28
8	722	28
9	743	28
10	746	28
0	3	3
1	3	3

Iter	Nodes	Cost
0	12	28
1	33	28
2	60	28
3	105	28
4	154	28
5	285	28
6	469	28
7	620	28
8	722	28
9	743	28
10	746	28
0	3	3
1	3	3

Details

analyze363.0ms (18.2%)

sample818.0ms (41%)

preprocess39.0ms (1.9%)

simplify11.0ms (0.6%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite44.0ms (2.2%)

simplify14.0ms (0.7%)

prune26.0ms (1.3%)

localize7.0ms (0.3%)

series6.0ms (0.3%)

rewrite37.0ms (1.8%)

simplify7.0ms (0.3%)

prune28.0ms (1.4%)

localize7.0ms (0.4%)

series19.0ms (1%)

rewrite111.0ms (5.6%)

simplify85.0ms (4.3%)

prune185.0ms (9.3%)

localize4.0ms (0.2%)

prune1.0ms (0%)

regimes135.0ms (6.8%)

simplify2.0ms (0.1%)

end36.0ms (1.8%)

Profiling

Iter	Nodes	Cost
0	12	28
1	33	28
2	60	28
3	105	28
4	154	28
5	285	28
6	469	28
7	620	28
8	722	28
9	743	28
10	746	28
0	3	3
1	3	3