Details

analyze169.0ms (5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	72.5%	2.5%	9
34.3%	59.3%	6.4%	10
40.6%	51.3%	8.1%	11
46.8%	43.2%	10%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample897.0ms (26.4%)

Results

772.0ms	8256×	body	256	valid
112.0ms	1149×	body	256	invalid

preprocess30.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

188×	`fma-def_binary64`
24×	`+-commutative_binary64`
22×	`distribute-rgt-in_binary64`
18×	`*-commutative_binary64`
16×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	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)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)
(+.f64 y (*.f64 x (+.f64 z y)))
(+.f64 y (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) y)
(+.f64 z (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) z)
(+.f64 x (*.f64 z (+.f64 y x)))
(+.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`+-commutative_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	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)))
(+.f64 x (*.f64 y (+.f64 x z)))
(fma.f64 y (+.f64 x z) x)

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% 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 x z) x)
▶	0.0b	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.2%)

Counts

2 → 60

Calls

18 calls:

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

rewrite71.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`unpow-prod-down_binary64`
444×	`fma-def_binary64`
429×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
234×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	15
2	2595	15

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (+.f64 x z)))) (/.f64 (pow.f64 (.f64 y (+.f64 x z)) 2) (-.f64 x (.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 2) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) (sqrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 x z)) 3)) (/.f64 1 (fma.f64 (.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 x z)) 3)) (pow.f64 (/.f64 1 (fma.f64 (.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (+.f64 x z)) 2)) (/.f64 1 (-.f64 x (.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (+.f64 x z)) 2)) (pow.f64 (/.f64 1 (-.f64 x (.f64 y (+.f64 x z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 y (+.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 y (+.f64 x z) x) (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 2) 3) (cbrt.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 x z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (.f64 y (+.f64 x z))) (-.f64 (.f64 x x) (pow.f64 (.f64 y (+.f64 x z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 x z)) 3)) (fma.f64 (.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 x z)) 3)) (+.f64 (pow.f64 (.f64 y (+.f64 x z)) 2) (-.f64 (.f64 x x) (.f64 (.f64 x y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (+.f64 x z)) 2)) (-.f64 x (.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 x z)) 3))) (neg.f64 (fma.f64 (.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (+.f64 x z)) 2))) (neg.f64 (-.f64 x (.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x z)) 2) (.f64 x x)) (fma.f64 y (+.f64 x z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 x z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 y (+.f64 x z)) (fma.f64 y (+.f64 x z) (neg.f64 x)) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 x z)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (.f64 y (+.f64 x z))) (-.f64 (.f64 x x) (pow.f64 (.f64 y (+.f64 x z)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 y) (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 y (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y (+.f64 x z)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 x z)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y (+.f64 x z)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y (+.f64 x z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 y (+.f64 x z) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (+.f64 x z) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 x z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x z) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (+.f64 x z)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (pow.f64 (cbrt.f64 (.f64 y (+.f64 x z))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x z))) 2) (cbrt.f64 (.f64 y (+.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (.f64 (cbrt.f64 (+.f64 x z)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y (+.f64 x z))) (sqrt.f64 (.f64 y (+.f64 x z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (.f64 (sqrt.f64 (+.f64 x z)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (cbrt.f64 (.f64 y z)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 (+.f64 x z)) 2)) (cbrt.f64 (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 x y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x y x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y z) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) 1) (.f64 (.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y z) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 y z) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 y z) (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y 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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y z) 1) (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 y z) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 y z) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 x (-.f64 x z) (*.f64 z z)))))) (#(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 x (-.f64 x z) (*.f64 z z)))))) (#(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 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x z))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y z) 1 (*.f64 (*.f64 x y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (cbrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y z))))))

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

310×	`fma-neg_binary64`
256×	`fma-def_binary64`
77×	`cancel-sign-sub-inv_binary64`
62×	`distribute-rgt-in_binary64`
46×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	408
1	54	408
2	104	408
3	204	408
4	351	408
5	660	408
6	1093	408
7	1408	408
8	1432	408

Stop Event

1×

saturated

Counts

201 → 155

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x z) 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	x	@	-inf	(fma.f64 y (+.f64 x z) x)
1.0ms	y	@	-inf	(fma.f64 y (+.f64 x z) x)
0.0ms	y	@	inf	(fma.f64 y (+.f64 x z) x)
0.0ms	x	@	inf	(fma.f64 y (+.f64 x z) x)
0.0ms	y	@	0	(fma.f64 y (+.f64 x z) x)

rewrite55.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
661×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1789	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

318×	`fma-neg_binary64`
256×	`fma-def_binary64`
81×	`cancel-sign-sub-inv_binary64`
63×	`distribute-rgt-in_binary64`
46×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	258
1	52	258
2	101	258
3	202	258
4	349	258
5	659	258
6	1099	258
7	1423	258
8	1447	258

Stop Event

1×

saturated

Counts

57 → 34

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

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

eval36.0ms (1.1%)

Compiler: Compiled 2338 to 693 computations (70.4% saved)

prune55.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	183	6	189
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	183	8	191

Error

Counts

191 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x z) x)
▶	0.0b	(+.f64 x (fma.f64 z y (*.f64 x y)))
▶	0.0b	(+.f64 (.f64 y z) (+.f64 (.f64 y x) x))
▶	23.7b	(*.f64 (+.f64 1 y) x)
✓	0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
▶	27.7b	(*.f64 y (+.f64 z x))
▶	39.2b	(*.f64 y z)
	36.1b	x

Compiler

Compiled 113 to 70 computations (38.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 6 computations (73.9% saved)

series156.0ms (4.6%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
149.0ms	z	@	0	(+.f64 x (fma.f64 z y (*.f64 x y)))
1.0ms	y	@	-inf	(+.f64 x (fma.f64 z y (*.f64 x y)))
1.0ms	x	@	0	(+.f64 x (fma.f64 z y (*.f64 x y)))
1.0ms	y	@	inf	(fma.f64 z y (*.f64 x y))
0.0ms	z	@	-inf	(+.f64 x (fma.f64 z y (*.f64 x y)))

rewrite69.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
771×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
753×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	149	17
2	2050	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

307×	`fma-neg_binary64`
275×	`fma-def_binary64`
47×	`unsub-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	492
1	79	492
2	183	492
3	356	492
4	818	492
5	1149	492
6	1243	492
7	1249	492

Stop Event

1×

saturated

Counts

127 → 70

Calls

Call 1

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

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

localize6.0ms (0.2%)

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

localize12.0ms (0.3%)

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)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite202.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1520	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	54
1	11	54
2	16	54
3	22	54
4	28	54
5	41	54
6	45	54
7	47	54

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

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

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series7.0ms (0.2%)

Counts

2 → 42

Calls

15 calls:

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

rewrite76.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`fma-def_binary64`
496×	`log-prod_binary64`
402×	`pow-prod-down_binary64`
325×	`fma-neg_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	184	14
2	2808	13

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

307×	`fma-neg_binary64`
272×	`fma-def_binary64`
47×	`unsub-neg_binary64`
43×	`distribute-rgt-in_binary64`
43×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	255
1	74	255
2	177	255
3	349	255
4	809	255
5	1143	255
6	1237	255
7	1243	255

Stop Event

1×

saturated

Counts

208 → 181

Calls

Call 1

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

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

eval63.0ms (1.9%)

Compiler: Compiled 4192 to 1294 computations (69.1% saved)

prune54.0ms (1.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	330	4	334
Fresh	0	1	1
Picked	1	0	1
Done	2	4	6
Total	333	9	342

Error

Counts

342 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.7b	(*.f64 (+.f64 1 y) x)
▶	27.6b	(fma.f64 z y (*.f64 x y))
▶	12.5b	(+.f64 (*.f64 y z) x)
✓	27.7b	(*.f64 y (+.f64 z x))
▶	27.7b	(+.f64 (.f64 y z) (.f64 y x))
✓	0.0b	(fma.f64 y (+.f64 x z) x)
✓	39.2b	(*.f64 y z)
	36.1b	x
▶	50.6b	(*.f64 y x)

Compiler

Compiled 68 to 43 computations (36.8% saved)

localize3.0ms (0.1%)

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 (*.f64 y z) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite56.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	24
1	6	24

Stop Event

1×

saturated

Counts

44 → 37

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0.1%)

Counts

1 → 18

Calls

9 calls:

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

rewrite56.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
757×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	2106	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

112×	`fma-neg_binary64`
75×	`fma-def_binary64`
31×	`unsub-neg_binary64`
24×	`associate-l_binary64`
24×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	38	108
2	105	108
3	207	108
4	390	108
5	527	108
6	583	108
7	588	108

Stop Event

1×

saturated

Counts

59 → 44

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

eval21.0ms (0.6%)

Compiler: Compiled 1194 to 392 computations (67.2% saved)

prune17.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	0	1
Picked	0	1	1
Done	1	6	7
Total	104	9	113

Error

Counts

113 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.7b	(*.f64 (+.f64 1 y) x)
✓	27.6b	(fma.f64 z y (*.f64 x y))
✓	12.5b	(+.f64 (*.f64 y z) x)
✓	27.7b	(*.f64 y (+.f64 z x))
✓	27.7b	(+.f64 (.f64 y z) (.f64 y x))
✓	39.2b	(*.f64 y z)
	36.1b	x
✓	50.6b	(*.f64 y x)
▶	12.5b	(fma.f64 z y x)

Compiler

Compiled 66 to 42 computations (36.4% saved)

localize5.0ms (0.1%)

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	7	7
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.7b	(*.f64 (+.f64 1 y) x)
✓	27.6b	(fma.f64 z y (*.f64 x y))
✓	12.5b	(+.f64 (*.f64 y z) x)
✓	27.7b	(*.f64 y (+.f64 z x))
✓	27.7b	(+.f64 (.f64 y z) (.f64 y x))
✓	39.2b	(*.f64 y z)
	36.1b	x
✓	50.6b	(*.f64 y x)
✓	12.5b	(fma.f64 z y x)

Compiler

Compiled 66 to 42 computations (36.4% saved)

regimes34.0ms (1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	z
8.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
7.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 95 to 36 computations (62.1% saved)

regimes32.0ms (0.9%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
8.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
7.0ms	z
7.0ms	x

Results

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

Compiler

Compiled 81 to 33 computations (59.3% saved)

regimes29.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

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 62 to 28 computations (54.8% saved)

regimes57.0ms (1.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	z
16.0ms	y
16.0ms	x

Results

Error	Segments	Branch
7.1b	3	`x`
1.3b	3	`y`
5.4b	3	`z`

Compiler

Compiled 45 to 21 computations (53.3% saved)

bsearch35.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.05060558891981524	20.841960420718312
17.0ms	-7.095618448588677	-0.0283923311559037

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes51.0ms (1.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	z
15.0ms	x
14.0ms	y

Results

Error	Segments	Branch
7.1b	3	`x`
1.3b	3	`y`
5.4b	3	`z`

Compiler

Compiled 38 to 20 computations (47.4% saved)

bsearch33.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.05060558891981524	20.841960420718312
16.0ms	-7.095618448588677	-0.0283923311559037

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes54.0ms (1.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	z
19.0ms	y
14.0ms	x

Results

Error	Segments	Branch
7.1b	3	`x`
8.3b	4	`y`
5.4b	3	`z`

Compiler

Compiled 33 to 18 computations (45.5% saved)

bsearch33.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	9.050232470255792e-66	1.8652334087160963e-64
17.0ms	-1.1912780477687877e-98	-4.542445681220819e-103

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes29.0ms (0.8%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	y
6.0ms	z
4.0ms	x

Results

Error	Segments	Branch
12.5b	1	`x`
8.6b	4	`y`
12.5b	1	`z`

Compiler

Compiled 28 to 15 computations (46.4% saved)

bsearch89.0ms (2.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
36.0ms	1.4131715014288524e+133	2.538153783065173e+153
36.0ms	8.16476490419848e+53	1.0762212558610124e+54
16.0ms	-2.655558862252027e+21	-8.069064534640285e+20

Compiler

Compiled 240 to 165 computations (31.3% saved)

regimes63.0ms (1.9%)

Counts

4 → 8

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	y
19.0ms	z
15.0ms	x

Results

Error	Segments	Branch
24.2b	3	`x`
17.2b	8	`y`
25.6b	5	`z`

Compiler

Compiled 23 to 14 computations (39.1% saved)

bsearch151.0ms (4.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
35.0ms	1.4131715014288524e+133	2.538153783065173e+153
33.0ms	8.16476490419848e+53	1.0762212558610124e+54
16.0ms	4.714813121874414e-31	5.520733270476455e-25
17.0ms	-2.8616239359329024e-129	-4.645898389460836e-132
17.0ms	-4.826276484937989e-99	-2.4198771801160628e-107
17.0ms	-1.37150999400213e-27	-6.3586805238564584e-34
16.0ms	-2.655558862252027e+21	-8.069064534640285e+20

Compiler

Compiled 212 to 151 computations (28.8% saved)

regimes33.0ms (1%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 y x)

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

Calls

3 calls:

11.0ms	y
10.0ms	z
10.0ms	x

Results

Error	Segments	Branch
35.1b	3	`x`
24.9b	3	`y`
35.0b	3	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch33.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.05060558891981524	20.841960420718312
16.0ms	-0.0283923311559037	-5.6770726812906694e-9

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes33.0ms (1%)

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:

26.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
36.1b	1	`y`
36.1b	1	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	263
1	75	263

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 y x) x))
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y -1997239037564199/281474976710656) (+.f64 (.f64 y z) (.f64 y x)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 (.f64 y z) x) (.f64 y (+.f64 z x))))
(if (<=.f64 y -1997239037564199/281474976710656) (.f64 y (+.f64 z x)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 (.f64 y z) x) (*.f64 y (+.f64 z x))))
(if (<=.f64 z -3667089454673007/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 (.f64 y z) x) (if (<=.f64 z 8584768109070871/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (.f64 (+.f64 1 y) x) (+.f64 (*.f64 y z) x)))
(if (<=.f64 y -2655558862252027150336) (.f64 y x) (if (<=.f64 y 1049999999999999929079052310403747475902054970584727552) (+.f64 (.f64 y z) x) (if (<=.f64 y 14500000000000000576264838869339135994478550127331079715204644152884242722220476001338114429754643775816025258978016284031651028140032) (.f64 y x) (+.f64 (.f64 y z) x))))
(if (<=.f64 y -2655558862252027150336) (.f64 y x) (if (<=.f64 y -7646423728369941/5575186299632655785383929568162090376495104) (.f64 y z) (if (<=.f64 y -185707984340859/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) x (if (<=.f64 y -4466635186774041/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 y z) (if (<=.f64 y 5383364919788033/11417981541647679048466287755595961091061972992) x (if (<=.f64 y 1049999999999999929079052310403747475902054970584727552) (.f64 y z) (if (<=.f64 y 2500000000000000092368864220145566352452294957460672112980694638037635914836804899304128277426352081861627938421808166828584250837393351042761548112068608) (.f64 y x) (.f64 y z))))))))
(if (<=.f64 y -1022941536111261/36028797018963968) (.f64 y x) (if (<=.f64 y 7293033964868621/144115188075855872) x (.f64 y x)))
x

Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 (.f64 y z) (+.f64 (.f64 y x) x))
(+.f64 (.f64 y z) (+.f64 x (.f64 y x)))
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y -1997239037564199/281474976710656) (+.f64 (.f64 y z) (.f64 y x)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 (.f64 y z) x) (.f64 y (+.f64 z x))))
(if (<=.f64 y -1997239037564199/281474976710656) (+.f64 (.f64 y z) (.f64 y x)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 x (.f64 y z)) (.f64 y (+.f64 x z))))
(if (<=.f64 y -1997239037564199/281474976710656) (.f64 y (+.f64 z x)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 (.f64 y z) x) (*.f64 y (+.f64 z x))))
(if (<=.f64 y -1997239037564199/281474976710656) (.f64 y (+.f64 x z)) (if (<=.f64 y 7293033964868621/144115188075855872) (+.f64 x (.f64 y z)) (*.f64 y (+.f64 x z))))
(if (<=.f64 z -3667089454673007/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 (.f64 y z) x) (if (<=.f64 z 8584768109070871/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (.f64 (+.f64 1 y) x) (+.f64 (*.f64 y z) x)))
(if (<=.f64 z -3667089454673007/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (+.f64 x (.f64 y z)) (if (<=.f64 z 8584768109070871/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (.f64 x (+.f64 y 1)) (+.f64 x (*.f64 y z))))
(if (<=.f64 y -2655558862252027150336) (.f64 y x) (if (<=.f64 y 1049999999999999929079052310403747475902054970584727552) (+.f64 (.f64 y z) x) (if (<=.f64 y 14500000000000000576264838869339135994478550127331079715204644152884242722220476001338114429754643775816025258978016284031651028140032) (.f64 y x) (+.f64 (.f64 y z) x))))
(if (<=.f64 y -2655558862252027150336) (.f64 y x) (if (<=.f64 y 1049999999999999929079052310403747475902054970584727552) (+.f64 x (.f64 y z)) (if (<=.f64 y 14500000000000000576264838869339135994478550127331079715204644152884242722220476001338114429754643775816025258978016284031651028140032) (.f64 y x) (+.f64 x (.f64 y z)))))
(if (<=.f64 y -2655558862252027150336) (.f64 y x) (if (<=.f64 y -7646423728369941/5575186299632655785383929568162090376495104) (.f64 y z) (if (<=.f64 y -185707984340859/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) x (if (<=.f64 y -4466635186774041/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 y z) (if (<=.f64 y 5383364919788033/11417981541647679048466287755595961091061972992) x (if (<=.f64 y 1049999999999999929079052310403747475902054970584727552) (.f64 y z) (if (<=.f64 y 2500000000000000092368864220145566352452294957460672112980694638037635914836804899304128277426352081861627938421808166828584250837393351042761548112068608) (.f64 y x) (.f64 y z))))))))
(if (<=.f64 y -1022941536111261/36028797018963968) (.f64 y x) (if (<=.f64 y 7293033964868621/144115188075855872) x (.f64 y x)))
x

Compiler

Compiled 215 to 114 computations (47% saved)

soundness13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`+-commutative_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Stop Event

1×

saturated

Compiler

Compiled 38 to 22 computations (42.1% saved)

end105.0ms (3.1%)

Compiler: Compiled 188 to 70 computations (62.8% saved)

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Details

analyze169.0ms (5%)

sample897.0ms (26.4%)

preprocess30.0ms (0.9%)

simplify10.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series8.0ms (0.2%)

rewrite71.0ms (2.1%)

simplify49.0ms (1.4%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite55.0ms (1.6%)

simplify38.0ms (1.1%)

eval36.0ms (1.1%)

prune55.0ms (1.6%)

localize7.0ms (0.2%)

series156.0ms (4.6%)

rewrite69.0ms (2%)

simplify86.0ms (2.5%)

localize6.0ms (0.2%)

localize12.0ms (0.3%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite202.0ms (5.9%)

simplify16.0ms (0.5%)

localize12.0ms (0.4%)

series7.0ms (0.2%)

rewrite76.0ms (2.2%)

simplify42.0ms (1.2%)

eval63.0ms (1.9%)

prune54.0ms (1.6%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite56.0ms (1.7%)

simplify7.0ms (0.2%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite56.0ms (1.7%)

simplify23.0ms (0.7%)

localize6.0ms (0.2%)

eval21.0ms (0.6%)

prune17.0ms (0.5%)

localize5.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes34.0ms (1%)

regimes32.0ms (0.9%)

regimes29.0ms (0.8%)

regimes57.0ms (1.7%)

bsearch35.0ms (1%)

regimes51.0ms (1.5%)

bsearch33.0ms (1%)

regimes54.0ms (1.6%)

bsearch33.0ms (1%)

regimes29.0ms (0.8%)

bsearch89.0ms (2.6%)

regimes63.0ms (1.9%)

bsearch151.0ms (4.4%)

regimes33.0ms (1%)

bsearch33.0ms (1%)

regimes33.0ms (1%)

simplify12.0ms (0.4%)

soundness13.0ms (0.4%)

end105.0ms (3.1%)

Profiling

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	181	32
4	200	32
5	226	32
6	250	32
7	322	32
8	395	32
9	414	32
10	418	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8