Details

analyze53.0ms (3.9%)

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 8 to 6 computations (25% saved)

sample708.0ms (51.7%)

Results

694.0ms

8256×

body

256

valid

preprocess25.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

112×	`fma-neg_binary64`
52×	`fma-def_binary64`
40×	`cancel-sign-sub-inv_binary64`
24×	`sub-neg_binary64`
14×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	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 y 200))
(-.f64 y (/.f64 x 200))

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)
(-.f64 y (/.f64 x 200))
(+.f64 y (*.f64 -1/200 x))
(fma.f64 -1/200 x y)
(fma.f64 x -1/200 y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify14.0ms (1%)

Algorithm

1×	egg-herbie

Rules

57×	`fma-neg_binary64`
53×	`fma-def_binary64`
23×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))

Outputs
(-.f64 x (/.f64 y 200))
(+.f64 x (*.f64 -1/200 y))
(fma.f64 -1/200 y x)
(fma.f64 y -1/200 x)

eval1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% 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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 y -1/200 x)
▶	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize15.0ms (1.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (/.f64 y 200))
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(-.f64 x (/.f64 y 200))
1.0ms	x	@	0	(-.f64 x (/.f64 y 200))
1.0ms	x	@	inf	(-.f64 x (/.f64 y 200))
0.0ms	y	@	0	(-.f64 x (/.f64 y 200))
0.0ms	y	@	-inf	(-.f64 x (/.f64 y 200))

rewrite52.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`pow1_binary64`
709×	`add-log-exp_binary64`
709×	`log1p-expm1-u_binary64`
709×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1898	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 x (/.f64 y 200))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 -1/200 y (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (.f64 y -1/200) 1 (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/200))) (pow.f64 (cbrt.f64 (.f64 y 1/200)) 2) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/200))) (sqrt.f64 (.f64 y 1/200)) (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) (sqrt.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (.f64 y 1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000)) (+.f64 x (.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/200) (+.f64 x (.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/40000))) (neg.f64 (+.f64 x (.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -1/200) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x (.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) (.f64 y -1/200))) (-.f64 x (.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 y -1/200))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y -1/200) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 -1/200 y (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (*.f64 y -1/200) 1 (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/200))) (pow.f64 (cbrt.f64 (*.f64 y 1/200)) 2) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) (sqrt.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (/.f64 1 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))) (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y 1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000)) (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000)) (+.f64 x (*.f64 y 1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/8000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 1/200) (+.f64 x (*.f64 y 1/200))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 1/40000))) (neg.f64 (+.f64 x (*.f64 y 1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) (*.f64 y -1/200))) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/200))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/200))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -1/200)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -1/200))))))))

simplify12.0ms (0.9%)

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

60 → 40

Calls

Call 1

Inputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)

Outputs
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y -1/200 x)
✓	0.1b	(fma.f64 y -1/200 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series4.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 y -1/200 x)
1.0ms	x	@	0	(fma.f64 y -1/200 x)
0.0ms	y	@	0	(fma.f64 y -1/200 x)
0.0ms	y	@	-inf	(fma.f64 y -1/200 x)
0.0ms	x	@	-inf	(fma.f64 y -1/200 x)

rewrite37.0ms (2.7%)

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 -1/200 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y -1/200) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y -1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (-.f64 (.f64 x x) (.f64 (.f64 y -1/200) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y -1/200) (.f64 y -1/200)) (.f64 x x)) (-.f64 (*.f64 y -1/200) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/200) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -1/200 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -1/200 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -1/200 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 2) (cbrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -1/200 x)) (sqrt.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -1/200) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y -1/200) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -1/200) (*.f64 y -1/200)) (*.f64 x x)) (-.f64 (*.f64 y -1/200) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/200 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/200 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/200 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/200 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/200 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/200 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/200 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/200 x)))))))

simplify9.0ms (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 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)

Outputs
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)

eval29.0ms (2.1%)

Compiler: Compiled 671 to 449 computations (33.1% saved)

prune10.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	62	5	67

Error

Counts

67 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	x
▶	32.6b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
▶	32.3b	(*.f64 -1/200 y)
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -1/200 y)
✓	0.1b	(*.f64 -1/200 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series8.0ms (0.5%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(*.f64 -1/200 y)
0.0ms	y	@	0	(*.f64 -1/200 y)
0.0ms	y	@	inf	(*.f64 -1/200 y)

rewrite36.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
339×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
322×	`add-log-exp_binary64`
322×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	875	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -1/200 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -1/200 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/100))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) -1/200))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) -1/400)) (log.f64 (pow.f64 (exp.f64 y) -1/400)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/200 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1/200 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/200 y)) (+.f64 1 (*.f64 -1/200 y))) 1) (+.f64 (+.f64 1 (*.f64 -1/200 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/200 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 1/40000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/200 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/200 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/200 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/200 y))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/200 y)))) (sqrt.f64 (log.f64 (*.f64 -1/200 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/40000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -1/200 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/200 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/200 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -1/200 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/200 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/200 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/200 y)))))))

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 y -1/200)
	0.1b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	0.1b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	0.1b	(*.f64 y -1/200)

Compiler

Compiled 18 to 9 computations (50% saved)

series7.0ms (0.5%)

Counts

2 → 25

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
1.0ms	x	@	0	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
1.0ms	x	@	inf	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
0.0ms	y	@	0	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
0.0ms	y	@	0	(*.f64 y -1/200)

rewrite45.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
561×	`add-log-exp_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
548×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	139	11
2	1548	11

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(*.f64 y -1/200)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -1/200)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/200) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -1/200) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/200)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/200)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y -1/200) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -1/200) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/200)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/200) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -1/200))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 y -1/200) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y -1/200) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y -1/200) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 y -1/200) x)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y -1/200) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y -1/200) x)) 2) (cbrt.f64 (+.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 y -1/200) x)) (sqrt.f64 (+.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -1/200) 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y -1/200) 2) (*.f64 x (*.f64 y -1/200)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y -1/200) 2)) (-.f64 x (*.f64 y -1/200)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y -1/200) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 y -1/200) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 y -1/200) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 y -1/200) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 y -1/200) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 y -1/200) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 y -1/200) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 y -1/200) x)))))))

simplify10.0ms (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	106
1	9	106
2	10	106

Stop Event

1×

saturated

Counts

56 → 35

Calls

Call 1

Inputs
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
x
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)
(+.f64 (*.f64 -1/200 y) x)

Outputs
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
(*.f64 -1/200 y)
x
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(*.f64 -1/200 y)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)
(+.f64 (*.f64 -1/200 y) x)
(fma.f64 -1/200 y x)

eval15.0ms (1.1%)

Compiler: Compiled 549 to 388 computations (29.3% saved)

prune11.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	60	5	65

Error

Counts

65 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	x
✓	32.6b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	32.3b	(*.f64 -1/200 y)
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 31 to 21 computations (32.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	x
✓	32.6b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	32.3b	(*.f64 -1/200 y)
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 31 to 21 computations (32.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	x
✓	32.6b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))
✓	32.3b	(*.f64 -1/200 y)
✓	0.1b	(fma.f64 y -1/200 x)
✓	0.0b	(-.f64 x (/.f64 y 200))

Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes26.0ms (1.9%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 -1/200 y)
(-.f64 x (/.f64 y 200))
(fma.f64 y -1/200 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -1/200))

Outputs
(-.f64 x (/.f64 y 200))

Calls

4 calls:

9.0ms	(/.f64 y 200)
6.0ms	x
4.0ms	(-.f64 x (/.f64 y 200))
4.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(-.f64 x (/.f64 y 200))`
0.0b	1	`(/.f64 y 200)`

Compiler

Compiled 41 to 26 computations (36.6% saved)

regimes127.0ms (9.2%)

Accuracy

Total -48.3b remaining (-355.8%)

Threshold costs -48.3b (-355.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 -1/200 y)

Outputs
(*.f64 -1/200 y)
x
(*.f64 -1/200 y)

Calls

2 calls:

117.0ms	x
8.0ms	y

Results

Error	Segments	Branch
14.4b	5	`x`
13.6b	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch31.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.706400682227231e-16	0.0027100045923510586
16.0ms	-5.970297533607955e+61	-1.5884268731527597e+61

Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	18	29
2	25	29
3	29	29
4	32	29
5	33	29

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 x (/.f64 y 200))

(if (<=.f64 y -59702975336079550877109196966062296739614718277916892906651648) (*.f64 -1/200 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) x (*.f64 -1/200 y)))

Outputs
(-.f64 x (/.f64 y 200))
(if (<=.f64 y -59702975336079550877109196966062296739614718277916892906651648) (.f64 -1/200 y) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) x (.f64 -1/200 y)))
(if (<=.f64 y -59702975336079550877109196966062296739614718277916892906651648) (.f64 y -1/200) (if (<=.f64 y 3460991758488335/20282409603651670423947251286016) x (.f64 y -1/200)))
x

end52.0ms (3.8%)

Stop Event

1×

fuel

Compiler

Compiled 50 to 34 computations (32% saved)

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5

Details

analyze53.0ms (3.9%)

sample708.0ms (51.7%)

preprocess25.0ms (1.8%)

simplify14.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize15.0ms (1.1%)

series3.0ms (0.2%)

rewrite52.0ms (3.8%)

simplify12.0ms (0.9%)

localize4.0ms (0.3%)

series4.0ms (0.3%)

rewrite37.0ms (2.7%)

simplify9.0ms (0.6%)

eval29.0ms (2.1%)

prune10.0ms (0.7%)

localize3.0ms (0.2%)

series8.0ms (0.5%)

rewrite36.0ms (2.6%)

simplify6.0ms (0.5%)

localize8.0ms (0.6%)

series7.0ms (0.5%)

rewrite45.0ms (3.3%)

simplify10.0ms (0.8%)

eval15.0ms (1.1%)

prune11.0ms (0.8%)

eval0.0ms (0%)

prune2.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes26.0ms (1.9%)

regimes127.0ms (9.2%)

bsearch31.0ms (2.3%)

simplify4.0ms (0.3%)

end52.0ms (3.8%)

Profiling

Iter	Nodes	Cost
0	8	14
1	12	14
2	24	14
3	42	14
4	68	14
5	114	10
6	186	10
7	324	10
8	458	10
9	504	10
10	506	10
0	2	2

Iter	Nodes	Cost
0	6	7
1	8	7
2	15	7
3	24	7
4	39	7
5	63	5
6	109	5
7	155	5
8	210	5
9	270	5
10	334	5
11	362	5
12	365	5