Details

analyze702.0ms (10%)

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)

sample986.0ms (14%)

Results

867.0ms	8256×	body	256	valid
105.0ms	1112×	body	256	infinite

Bogosity

preprocess115.0ms (1.6%)

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)

simplify29.0ms (0.4%)

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)

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	15
2	2370	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

400×	`fma-def_binary64`
300×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
60×	`distribute-rgt-in_binary64`
43×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	621
1	58	420
2	113	420
3	208	420
4	369	420
5	676	420
6	1059	420
7	1298	420
8	1417	420
9	1419	420

Stop Event

1×

saturated

Counts

114 → 69

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1797	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

408×	`fma-def_binary64`
296×	`fma-neg_binary64`
64×	`cancel-sign-sub-inv_binary64`
60×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	267
1	55	264
2	108	264
3	209	264
4	370	264
5	669	264
6	1055	264
7	1294	264
8	1413	264
9	1415	264

Stop Event

1×

saturated

Counts

57 → 32

Calls

Call 1

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

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

eval16.0ms (0.2%)

Compiler: Compiled 1165 to 345 computations (70.4% saved)

prune20.0ms (0.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	9	103

Error

Counts

103 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 x (+.f64 (.f64 z y) (.f64 (neg.f64 x) y)))
▶	38.4b	(*.f64 y z)
✓	0.0b	(fma.f64 y (-.f64 z x) x)
▶	24.7b	(*.f64 x (-.f64 1 y))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
▶	27.1b	(*.f64 y (-.f64 z x))
	36.4b	x
▶	12.3b	(+.f64 x (*.f64 y z))
	24.7b	(+.f64 x (*.f64 y (neg.f64 x)))

Compiler

Compiled 127 to 82 computations (35.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 8 computations (75.8% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`fma-def_binary64`
504×	`log-prod_binary64`
402×	`pow-prod-down_binary64`
334×	`fma-neg_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	208	15
2	3271	15

Stop Event

1×	node limit

Counts

2 → 290

Calls

Call 1

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

311×	`fma-neg_binary64`
269×	`fma-def_binary64`
50×	`cancel-sign-sub-inv_binary64`
43×	`unsub-neg_binary64`
42×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	741
1	86	504
2	175	504
3	314	504
4	641	504
5	1051	504
6	1211	504
7	1225	504

Stop Event

1×

saturated

Counts

362 → 308

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

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 1 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 x (-.f64 1 y))
1.0ms	x	@	0	(*.f64 x (-.f64 1 y))
0.0ms	x	@	-inf	(*.f64 x (-.f64 1 y))
0.0ms	y	@	0	(*.f64 x (-.f64 1 y))
0.0ms	y	@	-inf	(*.f64 x (-.f64 1 y))

rewrite43.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

126×	`fma-def_binary64`
71×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
19×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	350	160
7	429	160
8	499	160
9	505	160

Stop Event

1×

saturated

Counts

41 → 24

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0.1%)

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)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (0.8%)

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))))))

simplify9.0ms (0.1%)

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)

eval122.0ms (1.7%)

Compiler: Compiled 5587 to 1620 computations (71% saved)

prune123.0ms (1.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	388	5	393
Fresh	2	0	2
Picked	0	1	1
Done	3	3	6
Total	393	9	402

Error

Counts

402 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	36.4b	x
▶	24.7b	(-.f64 x (*.f64 y x))
✓	38.4b	(*.f64 y z)
▶	12.3b	(fma.f64 z y x)
▶	51.0b	(*.f64 y (neg.f64 x))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	27.1b	(*.f64 y (-.f64 z x))
▶	27.1b	(+.f64 (.f64 z y) (.f64 (neg.f64 x) y))
✓	12.3b	(+.f64 x (*.f64 y z))

Compiler

Compiled 69 to 44 computations (36.2% saved)

localize11.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

localize11.0ms (0.2%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize9.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

eval70.0ms (1%)

Compiler: Compiled 2818 to 699 computations (75.2% saved)

prune233.0ms (3.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	181	9	190

Error

Counts

190 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	36.4b	x
✓	24.7b	(-.f64 x (*.f64 y x))
✓	38.4b	(*.f64 y z)
✓	12.3b	(fma.f64 z y x)
✓	51.0b	(*.f64 y (neg.f64 x))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	27.1b	(*.f64 y (-.f64 z x))
▶	27.1b	(-.f64 (.f64 z y) (.f64 y x))
✓	12.3b	(+.f64 x (*.f64 y z))

Compiler

Compiled 68 to 43 computations (36.8% saved)

localize34.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite228.0ms (3.2%)

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)))))))

simplify42.0ms (0.6%)

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))

eval21.0ms (0.3%)

Compiler: Compiled 819 to 202 computations (75.3% saved)

prune26.0ms (0.4%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	55	9	64

Error

Counts

64 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	36.4b	x
✓	24.7b	(-.f64 x (*.f64 y x))
✓	38.4b	(*.f64 y z)
✓	12.3b	(fma.f64 z y x)
✓	51.0b	(*.f64 y (neg.f64 x))
✓	0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
✓	27.1b	(*.f64 y (-.f64 z x))
✓	27.1b	(-.f64 (.f64 z y) (.f64 y x))
✓	12.3b	(+.f64 x (*.f64 y z))

Compiler

Compiled 68 to 43 computations (36.8% saved)

regimes224.0ms (3.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

144.0ms	z
38.0ms	y
18.0ms	x
18.0ms	(+.f64 x (*.f64 y (-.f64 z 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 102 to 38 computations (62.7% saved)

regimes217.0ms (3.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

154.0ms	x
27.0ms	z
15.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
15.0ms	y

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 82 to 35 computations (57.3% saved)

regimes211.0ms (3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

101.0ms	x
66.0ms	y
40.0ms	z

Results

Error	Segments	Branch
7.5b	3	`x`
1.2b	3	`y`
8.0b	3	`z`

Compiler

Compiled 57 to 26 computations (54.4% saved)

bsearch62.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	4.178891821039126e-7	34447.1718973063
33.0ms	-1.929044516582242	-0.006398382437929638

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes521.0ms (7.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

337.0ms	z
148.0ms	x
32.0ms	y

Results

Error	Segments	Branch
7.5b	3	`x`
1.2b	3	`y`
8.0b	3	`z`

Compiler

Compiled 50 to 24 computations (52% saved)

bsearch76.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	4.178891821039126e-7	34447.1718973063
33.0ms	-1.929044516582242	-0.006398382437929638

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes275.0ms (3.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

171.0ms	z
71.0ms	x
29.0ms	y

Results

Error	Segments	Branch
11.5b	5	`x`
10.7b	3	`y`
14.7b	3	`z`

Compiler

Compiled 39 to 22 computations (43.6% saved)

bsearch274.0ms (3.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
123.0ms	251950121222.91455	656111867713446.5
150.0ms	-4.8161371390310954e-95	-1.1108884594953237e-97

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes544.0ms (7.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

234.0ms	y
233.0ms	x
39.0ms	z

Results

Error	Segments	Branch
15.3b	3	`x`
16.1b	8	`y`
17.6b	3	`z`

Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch64.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.2715348785243181e-58	2.5042945567779336e-57
34.0ms	-2.625295009350199e-100	-2.7055016830605795e-117

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes284.0ms (4%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

3 calls:

135.0ms	z
103.0ms	y
43.0ms	x

Results

Error	Segments	Branch
24.3b	3	`x`
16.7b	9	`y`
25.2b	5	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch525.0ms (7.5%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
49.0ms	1.420716525711309e+224	8.283317799542273e+224
38.0ms	4.1815782230158845e+114	7.297964404627438e+114
204.0ms	2.002353199082008e+50	5.012965901739834e+52
16.0ms	4.178891821039126e-7	34447.1718973063
18.0ms	-4.8161371390310954e-95	-1.1108884594953237e-97
43.0ms	-1.2032559811338807e+20	-120066447718330.75
123.0ms	-9.327418449727391e+55	-6.438580373197312e+42
33.0ms	-3.6231683854347827e+136	-3.270556389034497e+134

Compiler

Compiled 526 to 385 computations (26.8% saved)

regimes224.0ms (3.2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 y z)

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

Calls

3 calls:

186.0ms	z
23.0ms	y
14.0ms	x

Results

Error	Segments	Branch
24.3b	3	`x`
22.5b	3	`y`
26.4b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	4.178891821039126e-7	34447.1718973063
17.0ms	-4.8161371390310954e-95	-1.1108884594953237e-97

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes11.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
36.4b	1	`x`
36.4b	1	`y`
36.4b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	269
1	86	269
2	95	269
3	100	269
4	102	269

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (+.f64 (.f64 z y) (.f64 (neg.f64 x) y)))
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 y -2171911041515221/1125899906842624) (-.f64 (.f64 z y) (.f64 y x)) (if (<=.f64 y 3946851734242653/9444732965739290427392) (+.f64 x (.f64 y z)) (-.f64 (.f64 z y) (*.f64 y x))))
(if (<=.f64 y -2171911041515221/1125899906842624) (.f64 y (-.f64 z x)) (if (<=.f64 y 3946851734242653/9444732965739290427392) (+.f64 x (.f64 y z)) (*.f64 y (-.f64 z x))))
(if (<=.f64 y -1809744504878891/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 y (-.f64 z x)) (if (<=.f64 y 515993848264529/2048) (-.f64 x (.f64 y x)) (*.f64 y (-.f64 z x))))
(if (<=.f64 x -2586047255644501/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704) (-.f64 x (.f64 y x)) (if (<=.f64 x 7189144537228899/56539106072908298546665520023773392506479484700019806659891398441363832832) (.f64 y z) (-.f64 x (*.f64 y x))))
(if (<=.f64 y -329999999999999992245516499211883760543096108476986364345181722294977219895852671436857555635893444852256792961834017402451163705507840) (.f64 y (neg.f64 x)) (if (<=.f64 y -91999999999999994952656508069069748810607280045867139072) (.f64 y z) (if (<=.f64 y -120325598113388068864) (.f64 y (neg.f64 x)) (if (<=.f64 y -1809744504878891/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 y z) (if (<=.f64 y 3946851734242653/9444732965739290427392) x (if (<=.f64 y 49999999999999999661047433718081398823085422097203200) (.f64 y (neg.f64 x)) (if (<=.f64 y 7200000000000000112027796132161269774731050057831642320262348179102003224386241063507894807388341623268685222248448) (.f64 y z) (if (<=.f64 y 799999999999999975639228143586556016743718457957993689718739802080877559062989706821509236602440685712297459273798729076047143049467029648642025996152663231440864758317124267106812368679584055602608125910341351204516173709312) (.f64 y (neg.f64 x)) (.f64 y z)))))))))
(if (<=.f64 y -1809744504878891/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (.f64 y z) (if (<=.f64 y 3946851734242653/9444732965739290427392) x (.f64 y z)))
x

Outputs
(+.f64 x (+.f64 (.f64 z y) (.f64 (neg.f64 x) y)))
(+.f64 x (-.f64 (.f64 z y) (.f64 x y)))
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 y -2171911041515221/1125899906842624) (-.f64 (.f64 z y) (.f64 y x)) (if (<=.f64 y 3946851734242653/9444732965739290427392) (+.f64 x (.f64 y z)) (-.f64 (.f64 z y) (*.f64 y x))))
(if (<=.f64 y -2171911041515221/1125899906842624) (-.f64 (.f64 z y) (.f64 x y)) (if (<=.f64 y 3946851734242653/9444732965739290427392) (+.f64 x (.f64 z y)) (-.f64 (.f64 z y) (*.f64 x y))))
(if (<=.f64 y -2171911041515221/1125899906842624) (.f64 y (-.f64 z x)) (if (<=.f64 y 3946851734242653/9444732965739290427392) (+.f64 x (.f64 y z)) (*.f64 y (-.f64 z x))))
(if (<=.f64 y -2171911041515221/1125899906842624) (.f64 y (-.f64 z x)) (if (<=.f64 y 3946851734242653/9444732965739290427392) (+.f64 x (.f64 z y)) (*.f64 y (-.f64 z x))))
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x

Compiler

Compiled 214 to 107 computations (50% saved)

soundness0.0ms (0%)

end113.0ms (1.6%)

Compiler: Compiled 190 to 68 computations (64.2% saved)

Iter	Nodes	Cost
0	11	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	350	160
7	429	160
8	499	160
9	505	160

Iter	Nodes	Cost
0	11	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	350	160
7	429	160
8	499	160
9	505	160

Details

analyze702.0ms (10%)

sample986.0ms (14%)

preprocess115.0ms (1.6%)

simplify29.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series8.0ms (0.1%)

rewrite57.0ms (0.8%)

simplify50.0ms (0.7%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite49.0ms (0.7%)

simplify42.0ms (0.6%)

eval16.0ms (0.2%)

prune20.0ms (0.3%)

localize9.0ms (0.1%)

series7.0ms (0.1%)

rewrite81.0ms (1.2%)

simplify52.0ms (0.7%)

localize3.0ms (0%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite43.0ms (0.6%)

simplify20.0ms (0.3%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite53.0ms (0.8%)

simplify9.0ms (0.1%)

eval122.0ms (1.7%)

prune123.0ms (1.8%)

localize11.0ms (0.1%)

localize19.0ms (0.3%)

localize11.0ms (0.2%)

localize9.0ms (0.1%)

eval70.0ms (1%)

prune233.0ms (3.3%)

localize34.0ms (0.5%)

series5.0ms (0.1%)

rewrite228.0ms (3.2%)

simplify42.0ms (0.6%)

eval21.0ms (0.3%)

prune26.0ms (0.4%)

regimes224.0ms (3.2%)

regimes217.0ms (3.1%)

regimes211.0ms (3%)

bsearch62.0ms (0.9%)

regimes521.0ms (7.4%)

bsearch76.0ms (1.1%)

regimes275.0ms (3.9%)

bsearch274.0ms (3.9%)

regimes544.0ms (7.7%)

bsearch64.0ms (0.9%)

regimes284.0ms (4%)

bsearch525.0ms (7.5%)

regimes224.0ms (3.2%)

bsearch37.0ms (0.5%)

regimes11.0ms (0.2%)

simplify15.0ms (0.2%)

soundness0.0ms (0%)

end113.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	11	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	350	160
7	429	160
8	499	160
9	505	160