Details

analyze118.0ms (5.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.3s (60.3%)

Results

1.1s	7739×	body	256	valid
67.0ms	217×	body	1024	valid
67.0ms	170×	body	2048	valid
26.0ms	130×	body	512	valid

Bogosity

preprocess32.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

98×	`fma-neg_binary64`
42×	`fma-def_binary64`
32×	`cancel-sign-sub-inv_binary64`
18×	`associate--r+_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(-.f64 y (*.f64 (/.f64 3 8) x))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(+.f64 x (*.f64 -3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 y (*.f64 (/.f64 3 8) x))
(+.f64 y (*.f64 -3/8 x))
(+.f64 y (*.f64 x -3/8))
(fma.f64 x -3/8 y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify22.0ms (1%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	16	7
2	26	5
3	40	5
4	55	5
5	79	5
6	127	5
7	172	5
8	216	5
9	273	5
10	315	5
11	319	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(+.f64 x (*.f64 -3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)

eval1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 y -3/8 x)
▶	0.1b	(-.f64 x (*.f64 (/.f64 3 8) y))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 3 8) y))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(-.f64 x (*.f64 (/.f64 3 8) y))
1.0ms	x	@	0	(-.f64 x (*.f64 (/.f64 3 8) y))
1.0ms	x	@	inf	(-.f64 x (*.f64 (/.f64 3 8) y))
1.0ms	y	@	0	(-.f64 x (*.f64 (/.f64 3 8) y))
0.0ms	x	@	-inf	(-.f64 x (*.f64 (/.f64 3 8) y))

rewrite89.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
792×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	177	7
2	2141	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 y -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (neg.f64 y) 3/8 (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 -3/8 y (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (.f64 y -3/8) 1 (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 3/8 y))) (pow.f64 (cbrt.f64 (.f64 3/8 y)) 2) (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 3/8 y))) (sqrt.f64 (.f64 3/8 y)) (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) 2) (cbrt.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 y -3/8))) (sqrt.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2)) (/.f64 1 (+.f64 x (.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 3/8 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y)))) (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (.f64 3/8 y)) (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3))) (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2)) (+.f64 x (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2))) (neg.f64 (+.f64 x (.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -3/8) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x (.f64 y -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -3/8) (.f64 y -3/8))) (-.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 y -3/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 y -3/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 y -3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 y -3/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y -3/8))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (neg.f64 y) 3/8 (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 -3/8 y (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (*.f64 y -3/8) 1 (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 3/8 y))) (pow.f64 (cbrt.f64 (*.f64 3/8 y)) 2) (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 3/8 y))) (sqrt.f64 (*.f64 3/8 y)) (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) 2) (cbrt.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y -3/8))) (sqrt.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2)) (/.f64 1 (+.f64 x (*.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3/8 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y)))) (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 3/8 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2)) (+.f64 x (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2))) (neg.f64 (+.f64 x (*.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -3/8) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (*.f64 x (*.f64 y -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -3/8) (*.f64 y -3/8))) (-.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -3/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -3/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -3/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -3/8))))))

simplify15.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

61 → 41

Calls

Call 1

Inputs
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)

Outputs
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y -3/8 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 y -3/8 x)
1.0ms	y	@	-inf	(fma.f64 y -3/8 x)
1.0ms	y	@	0	(fma.f64 y -3/8 x)
0.0ms	y	@	inf	(fma.f64 y -3/8 x)
0.0ms	x	@	-inf	(fma.f64 y -3/8 x)

rewrite66.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow1_binary64`
439×	`add-sqr-sqrt_binary64`
429×	`*-un-lft-identity_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1108	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y -3/8 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y -3/8) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y -3/8) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (-.f64 (.f64 x x) (.f64 (.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -3/8) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -3/8) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (*.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))))

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)

Outputs
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)

eval22.0ms (1%)

Compiler: Compiled 684 to 465 computations (32% saved)

prune19.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	64	4	68

Error

Counts

68 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (*.f64 y -3/8) x)
▶	30.5b	(*.f64 -3/8 y)
	32.5b	x
✓	0b	(fma.f64 y -3/8 x)

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize8.0ms (0.3%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y -3/8) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (*.f64 y -3/8) x)
1.0ms	x	@	0	(+.f64 (*.f64 y -3/8) x)
0.0ms	y	@	inf	(+.f64 (*.f64 y -3/8) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 y -3/8) x)
0.0ms	x	@	inf	(+.f64 (*.f64 y -3/8) x)

rewrite78.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
643×	`add-log-exp_binary64`
643×	`log1p-expm1-u_binary64`
643×	`expm1-log1p-u_binary64`
630×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	131	5
2	1734	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 y -3/8) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y -3/8) 2) (-.f64 (*.f64 y -3/8) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8)))) (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y -3/8) x) (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 y (*.f64 -3/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y -3/8) 2)) (-.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -3/8 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/8 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) (cbrt.f64 (*.f64 y -3/8)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -3/8)) (sqrt.f64 (*.f64 y -3/8)) x)))))

simplify17.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

59 → 38

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)

Outputs
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)

eval21.0ms (0.9%)

Compiler: Compiled 419 to 286 computations (31.7% saved)

prune12.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Error

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
✓	30.5b	(*.f64 -3/8 y)
✓	0b	(fma.f64 y -3/8 x)
	32.5b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
✓	30.5b	(*.f64 -3/8 y)
✓	0b	(fma.f64 y -3/8 x)
	32.5b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
✓	30.5b	(*.f64 -3/8 y)
✓	0b	(fma.f64 y -3/8 x)
	32.5b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes57.0ms (2.6%)

Counts

6 → 1

Calls

Call 1

Inputs
x
x
(*.f64 -3/8 y)
(+.f64 (*.f64 y -3/8) x)
(-.f64 x (*.f64 (/.f64 3 8) y))
(fma.f64 y -3/8 x)

Outputs
(fma.f64 y -3/8 x)

Calls

5 calls:

13.0ms	(-.f64 x (*.f64 (/.f64 3 8) y))
11.0ms	(*.f64 (/.f64 3 8) y)
10.0ms	(*.f64 (/.f64 3 8) y)
10.0ms	x
10.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(-.f64 x (*.f64 (/.f64 3 8) y))`
0b	1	`(*.f64 (/.f64 3 8) y)`
0b	1	`(*.f64 (/.f64 3 8) y)`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes54.0ms (2.5%)

Counts

5 → 1

Calls

Call 1

Inputs
x
x
(*.f64 -3/8 y)
(+.f64 (*.f64 y -3/8) x)
(-.f64 x (*.f64 (/.f64 3 8) y))

Outputs
(+.f64 (*.f64 y -3/8) x)

Calls

5 calls:

11.0ms	y
10.0ms	(*.f64 (/.f64 3 8) y)
10.0ms	(-.f64 x (*.f64 (/.f64 3 8) y))
10.0ms	(*.f64 (/.f64 3 8) y)
10.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(-.f64 x (*.f64 (/.f64 3 8) y))`
0.1b	1	`(*.f64 (/.f64 3 8) y)`
0.1b	1	`(*.f64 (/.f64 3 8) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes45.0ms (2%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 -3/8 y)

Outputs
x
(*.f64 -3/8 y)
x

Calls

2 calls:

22.0ms	y
21.0ms	x

Results

Error	Segments	Branch
13.9b	3	`x`
14.2b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch62.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	128903.20277625337	5.084411201161055e+21
33.0ms	-1.143189810419369e-11	-1.2866612082958661e-13

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes7.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
32.5b	1	`x`
32.5b	1	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	17	31

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y -3/8 x)
(+.f64 (*.f64 y -3/8) x)
(if (<=.f64 x -442250137131625/38685626227668133590597632) x (if (<=.f64 x 4429080322189317/34359738368) (*.f64 -3/8 y) x))
x

Outputs
(fma.f64 y -3/8 x)
(+.f64 (*.f64 y -3/8) x)
(+.f64 x (*.f64 y -3/8))
(if (<=.f64 x -442250137131625/38685626227668133590597632) x (if (<=.f64 x 4429080322189317/34359738368) (*.f64 -3/8 y) x))
(if (<=.f64 x -442250137131625/38685626227668133590597632) x (if (<=.f64 x 4429080322189317/34359738368) (*.f64 y -3/8) x))
x

Compiler

Compiled 31 to 21 computations (32.3% saved)

soundness21.0ms (1%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	16	7
2	26	5
3	40	5
4	55	5
5	79	5
6	127	5
7	172	5
8	216	5
9	273	5
10	315	5
11	319	5

Stop Event

1×

saturated

Compiler

Compiled 71 to 55 computations (22.5% saved)

end29.0ms (1.3%)

Compiler: Compiled 25 to 15 computations (40% saved)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Details

analyze118.0ms (5.4%)

sample1.3s (60.3%)

preprocess32.0ms (1.5%)

simplify22.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize15.0ms (0.7%)

series4.0ms (0.2%)

rewrite89.0ms (4%)

simplify15.0ms (0.7%)

localize7.0ms (0.3%)

series4.0ms (0.2%)

rewrite66.0ms (3%)

simplify14.0ms (0.6%)

eval22.0ms (1%)

prune19.0ms (0.9%)

localize8.0ms (0.3%)

localize11.0ms (0.5%)

series3.0ms (0.1%)

rewrite78.0ms (3.6%)

simplify17.0ms (0.8%)

eval21.0ms (0.9%)

prune12.0ms (0.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes57.0ms (2.6%)

regimes54.0ms (2.5%)

regimes45.0ms (2%)

bsearch62.0ms (2.8%)

regimes7.0ms (0.3%)

simplify5.0ms (0.2%)

soundness21.0ms (1%)

end29.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2