Details

analyze60.0ms (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.3s (71.5%)

Results

1.1s	7739×	body	256	valid
85.0ms	188×	body	2048	valid
62.0ms	175×	body	1024	valid
37.0ms	154×	body	512	valid

preprocess27.0ms (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)

simplify14.0ms (0.7%)

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)

prune1.0ms (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)

localize9.0ms (0.5%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (2.9%)

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))))))

simplify10.0ms (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

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)

localize4.0ms (0.2%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (2.3%)

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)))))))

simplify9.0ms (0.5%)

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)

eval18.0ms (1%)

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

prune10.0ms (0.5%)

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
✓	0b	(fma.f64 y -3/8 x)
▶	29.9b	(*.f64 -3/8 y)
▶	0.1b	(+.f64 (*.f64 y -3/8) x)
	34.0b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

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

localize5.0ms (0.3%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (2.9%)

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)))))

simplify9.0ms (0.5%)

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)

eval10.0ms (0.5%)

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

prune8.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	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
✓	0b	(fma.f64 y -3/8 x)
✓	29.9b	(*.f64 -3/8 y)
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
	34.0b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (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
✓	0b	(fma.f64 y -3/8 x)
✓	29.9b	(*.f64 -3/8 y)
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
	34.0b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (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
✓	0b	(fma.f64 y -3/8 x)
✓	29.9b	(*.f64 -3/8 y)
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
	34.0b	x

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes24.0ms (1.3%)

Counts

5 → 1

Calls

Call 1

Inputs
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:

5.0ms	(-.f64 x (*.f64 (/.f64 3 8) y))
4.0ms	x
4.0ms	(*.f64 (/.f64 3 8) y)
4.0ms	(*.f64 (/.f64 3 8) y)
4.0ms	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 51 to 37 computations (27.5% saved)

regimes23.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

Inputs
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:

5.0ms	(-.f64 x (*.f64 (/.f64 3 8) y))
4.0ms	(*.f64 (/.f64 3 8) y)
4.0ms	(*.f64 (/.f64 3 8) y)
4.0ms	y
4.0ms	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 47 to 35 computations (25.5% saved)

regimes32.0ms (1.7%)

Accuracy

Total -48.4b remaining (-358.5%)

Threshold costs -48.4b (-358.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	y
11.0ms	x

Results

Error	Segments	Branch
13.5b	3	`x`
15.2b	7	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch36.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.937944541277839e+83	1.671743018299042e+88
18.0ms	-6.0489332099488145e+112	-6.170722836036247e+109

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify4.0ms (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 -60489332099488145333243102112049202532180324805308472482494701633301931783934376519134319156223865036893579116544) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.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 -60489332099488145333243102112049202532180324805308472482494701633301931783934376519134319156223865036893579116544) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 -3/8 y) x))
(if (<=.f64 x -60489332099488145333243102112049202532180324805308472482494701633301931783934376519134319156223865036893579116544) x (if (<=.f64 x 693794454127783880367632295558852175398271537370881837866271084823722900309336391680) (*.f64 y -3/8) x))
x

Compiler

Compiled 31 to 21 computations (32.3% saved)

soundness24.0ms (1.3%)

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 (1.5%)

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

analyze60.0ms (3.2%)

sample1.3s (71.5%)

preprocess27.0ms (1.5%)

simplify14.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize9.0ms (0.5%)

series3.0ms (0.1%)

rewrite54.0ms (2.9%)

simplify10.0ms (0.6%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite43.0ms (2.3%)

simplify9.0ms (0.5%)

eval18.0ms (1%)

prune10.0ms (0.5%)

localize3.0ms (0.2%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite54.0ms (2.9%)

simplify9.0ms (0.5%)

eval10.0ms (0.5%)

prune8.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes24.0ms (1.3%)

regimes23.0ms (1.2%)

regimes32.0ms (1.7%)

bsearch36.0ms (1.9%)

simplify4.0ms (0.2%)

soundness24.0ms (1.3%)

end29.0ms (1.5%)

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