Details

analyze271.0ms (11.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.2%	40.6%	51.3%	0.1%	8%	0%	0%	11
52.1%	46.8%	43%	0.1%	10%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (51.8%)

Results

1.1s	8256×	body	256	valid
139.0ms	1135×	body	256	infinite

Bogosity

preprocess91.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

855×	`fma-neg_binary64`
384×	`fma-def_binary64`
156×	`unsub-neg_binary64`
141×	`distribute-rgt-in_binary64`
108×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	31	32
2	73	32
3	176	32
4	317	32
5	653	32
6	1268	32
7	2004	32
8	2733	32
9	2896	32
10	2924	32
11	2924	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

274×	`fma-def_binary64`
247×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-in_binary64`
40×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	52	8
4	100	8
5	171	8
6	281	8
7	480	8
8	871	8
9	1107	8
10	1207	8
11	1214	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.3%)

Counts

1 → 24

Calls

9 calls:

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

rewrite44.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify28.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 260 to 109 computations (58.1% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Error

0.0b

Counts

25 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (+.f64 (.f64 z y) (.f64 (neg.f64 x) y)))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
▶	12.8b	(+.f64 x (*.f64 y z))
▶	21.4b	(+.f64 x (*.f64 y (neg.f64 x)))

Compiler

Compiled 40 to 25 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
646×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	5
2	1779	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

Outputs

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

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	159
1	9	159
2	10	159

Stop Event

1×

saturated

Counts

71 → 38

Calls

Call 1

Inputs
(*.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 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)

localize6.0ms (0.3%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 8 computations (75.8% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite80.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2563	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify25.0ms (1%)

Algorithm

1×	egg-herbie

Rules

142×	`fma-def_binary64`
108×	`fma-neg_binary64`
32×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
27×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	47	240
2	100	240
3	174	240
4	310	240
5	489	240
6	603	240
7	644	240

Stop Event

1×

saturated

Counts

80 → 51

Calls

Call 1

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

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

eval18.0ms (0.7%)

Compiler: Compiled 1122 to 388 computations (65.4% saved)

prune15.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	87	6	93

Error

0.0b

Counts

93 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
	33.9b	x
▶	0.0b	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	12.8b	(+.f64 x (*.f64 y z))
▶	41.7b	(*.f64 y z)
✓	21.4b	(+.f64 x (*.f64 y (neg.f64 x)))

Compiler

Compiled 49 to 31 computations (36.7% saved)

localize3.0ms (0.1%)

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 7 computations (75% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite52.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2222	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify25.0ms (1%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
80×	`fma-neg_binary64`
34×	`unsub-neg_binary64`
28×	`distribute-rgt-in_binary64`
27×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	43	240
2	97	240
3	243	240
4	411	240
5	530	240
6	599	240
7	604	240

Stop Event

1×

saturated

Counts

85 → 55

Calls

Call 1

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

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

eval12.0ms (0.5%)

Compiler: Compiled 929 to 257 computations (72.3% saved)

prune10.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	54	7	61

Error

Counts

61 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 x (+.f64 (.f64 y (-.f64 z x)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
	33.9b	x
✓	0.0b	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	12.8b	(+.f64 x (*.f64 y z))
✓	41.7b	(*.f64 y z)
✓	21.4b	(+.f64 x (*.f64 y (neg.f64 x)))

Compiler

Compiled 75 to 42 computations (44% saved)

localize17.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 z x))
✓	50.5b	(fma.f64 (neg.f64 x) y (*.f64 y x))

Compiler

Compiled 85 to 11 computations (87.1% saved)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`pow1_binary64`
472×	`add-sqr-sqrt_binary64`
452×	`add-log-exp_binary64`
451×	`log1p-expm1-u_binary64`
451×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1538	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-def_binary64`
12×	`associate-r_binary64`
12×	`associate-l_binary64`
12×	`distribute-rgt-in_binary64`
11×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	168
1	39	24
2	122	24
3	144	24
4	178	24
5	190	24
6	222	24

Stop Event

1×

saturated

Counts

44 → 25

Calls

Call 1

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

Outputs
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 (+.f64 y (.f64 -1 y)) x)
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 (+.f64 y (*.f64 -1 y)) x))
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 (+.f64 y (*.f64 -1 y)) x))
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 (+.f64 y (*.f64 -1 y)) x))
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 (+.f64 y (*.f64 -1 y)) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 y (+.f64 (.f64 -1 x) x))
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) x)))
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) x)))
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) x)))
(.f64 (.f64 0 y) x)
0
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) x)))
(.f64 (.f64 0 y) x)
0

eval18.0ms (0.7%)

Compiler: Compiled 1914 to 443 computations (76.9% saved)

prune12.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	74	7	81

Error

Counts

81 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(+.f64 x (+.f64 (.f64 y (neg.f64 x)) (+.f64 (fma.f64 (neg.f64 x) y (.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
	33.9b	x
✓	0.0b	(+.f64 x (-.f64 (.f64 z y) (.f64 y x)))
✓	12.8b	(+.f64 x (*.f64 y z))
✓	41.7b	(*.f64 y z)
✓	21.4b	(+.f64 x (*.f64 y (neg.f64 x)))

Compiler

Compiled 74 to 41 computations (44.6% saved)

regimes26.0ms (1.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
6.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
5.0ms	y
5.0ms	x

Results

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

Compiler

Compiled 111 to 39 computations (64.9% saved)

regimes40.0ms (1.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	x
11.0ms	z
10.0ms	y

Results

Error	Segments	Branch
6.4b	5	`x`
8.5b	3	`y`
4.3b	3	`z`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch34.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	3.3205262948408674e-74	1.6539424465794918e-72
17.0ms	-2.0977061543156937e-63	-3.358470450905408e-71

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
4.0ms	x
4.0ms	z

Results

Error	Segments	Branch
12.8b	1	`x`
12.8b	1	`y`
12.8b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes51.0ms (2.1%)

Accuracy

Total -40.1b remaining (-183.8%)

Threshold costs -40.1b (-183.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

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

Calls

3 calls:

25.0ms	z
14.0ms	x
11.0ms	y

Results

Error	Segments	Branch
23.6b	5	`x`
21.8b	3	`y`
25.0b	9	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch33.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.0226118371278543e-74	8.76675731979021e-69
17.0ms	-2.9597329396828804e-48	-4.909795124464239e-52

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	74
1	38	72
2	48	72
3	54	72
4	57	72
5	58	72

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -3886364451427043/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (+.f64 x (.f64 y z)) (if (<=.f64 z 8455039403694375/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (+.f64 x (.f64 y (neg.f64 x))) (+.f64 x (*.f64 y z))))
(+.f64 x (*.f64 y z))
(if (<=.f64 y -2435127020350935/822752278660603021077484591278675252491367932816789931674304512) (.f64 y z) (if (<=.f64 y 160942698374587/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) x (.f64 y z)))
x

Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -3886364451427043/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (+.f64 x (.f64 y z)) (if (<=.f64 z 8455039403694375/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (+.f64 x (.f64 y (neg.f64 x))) (+.f64 x (*.f64 y z))))
(if (<=.f64 z -3886364451427043/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (+.f64 x (.f64 y z)) (if (<=.f64 z 8455039403694375/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (-.f64 x (.f64 x y)) (+.f64 x (*.f64 y z))))
(+.f64 x (*.f64 y z))
(if (<=.f64 y -2435127020350935/822752278660603021077484591278675252491367932816789931674304512) (.f64 y z) (if (<=.f64 y 160942698374587/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) x (.f64 y z)))
x

Compiler

Compiled 66 to 37 computations (43.9% saved)

soundness0.0ms (0%)

end35.0ms (1.5%)

Compiler: Compiled 54 to 22 computations (59.3% saved)

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Details

analyze271.0ms (11.2%)

sample1.3s (51.8%)

preprocess91.0ms (3.8%)

simplify28.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series7.0ms (0.3%)

rewrite44.0ms (1.8%)

simplify28.0ms (1.2%)

eval5.0ms (0.2%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite47.0ms (1.9%)

simplify9.0ms (0.4%)

localize6.0ms (0.3%)

localize11.0ms (0.4%)

series4.0ms (0.2%)

rewrite80.0ms (3.3%)

simplify25.0ms (1%)

eval18.0ms (0.7%)

prune15.0ms (0.6%)

localize3.0ms (0.1%)

localize8.0ms (0.3%)

series3.0ms (0.1%)

rewrite52.0ms (2.1%)

simplify25.0ms (1%)

eval12.0ms (0.5%)

prune10.0ms (0.4%)

localize17.0ms (0.7%)

series5.0ms (0.2%)

rewrite39.0ms (1.6%)

simplify11.0ms (0.5%)

eval18.0ms (0.7%)

prune12.0ms (0.5%)

regimes26.0ms (1.1%)

regimes40.0ms (1.7%)

bsearch34.0ms (1.4%)

regimes13.0ms (0.5%)

regimes51.0ms (2.1%)

bsearch33.0ms (1.4%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end35.0ms (1.5%)

Profiling

Iter	Nodes	Cost
0	9	210
1	17	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156