Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample792.0ms (10.2%)

Results

780.0ms	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess45.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

271×	`fma-def_binary64`
258×	`fma-neg_binary64`
80×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	68	11
3	150	11
4	292	9
5	487	9
6	726	9
7	1058	9
8	1175	9
9	1194	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

271×	`fma-def_binary64`
258×	`fma-neg_binary64`
80×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	68	11
3	150	11
4	292	9
5	487	9
6	726	9
7	1058	9
8	1175	9
9	1194	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

eval1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
▶	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.0b	(+.f64 253/1000 (*.f64 x 3/25))
✓	0.1b	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
✓	0.2b	(*.f64 x 3/25)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
1.0ms	x	@	inf	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
1.0ms	x	@	0	(*.f64 x 3/25)
1.0ms	x	@	-inf	(*.f64 x 3/25)
1.0ms	x	@	inf	(*.f64 x 3/25)

rewrite86.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`prod-diff_binary64`
451×	`log-prod_binary64`
271×	`pow-prod-down_binary64`
257×	`fma-def_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	204	28
2	2722	28

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

Inputs
(*.f64 x 3/25)
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(+.f64 253/1000 (*.f64 x 3/25))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/25) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/25) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/25) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/25) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 3/25))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 9/625) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 3/25)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 3/25) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/25) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 3/25) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 3/25)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 3/25))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 3/25))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x 3/25) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x 3/25)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 3/25)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3/25 (.f64 x x)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 253/1000) 1) (.f64 (.f64 3/25 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 253/1000) 3) (pow.f64 (.f64 3/25 (.f64 x x)) 3)) (+.f64 (pow.f64 (.f64 x 253/1000) 2) (-.f64 (pow.f64 (.f64 3/25 (.f64 x x)) 2) (.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 253/1000) 2) (pow.f64 (.f64 3/25 (.f64 x x)) 2)) (-.f64 (.f64 x 253/1000) (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000) x) (fma.f64 (.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000)) (fma.f64 (.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 3/25) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 253/1000 (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 3/25) x (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (fma.f64 x 3/25 253/1000) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 253/1000) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 3/25 (.f64 x x)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 3/25 (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 253/1000) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 3/25)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/25)) 2) (.f64 (cbrt.f64 (.f64 x 3/25)) x) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 253/1000) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3/25)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 3/25)) (.f64 (sqrt.f64 (.f64 x 3/25)) x) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 253/1000) 1 (.f64 (.f64 3/25 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 3/25 (.f64 x x))) 2) (cbrt.f64 (.f64 3/25 (.f64 x x))) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 253/1000)) 2) (cbrt.f64 (.f64 x 253/1000)) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 3/25 (.f64 x x))) (sqrt.f64 (.f64 3/25 (.f64 x x))) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 253/1000)) (sqrt.f64 (.f64 x 253/1000)) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 253/1000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 253/1000 (sqrt.f64 x)) (sqrt.f64 x) (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 3/25) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x 3/25) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x 3/25)) 2)) (cbrt.f64 (.f64 x 3/25)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (.f64 x 3/25))) (sqrt.f64 (.f64 x 3/25)) (*.f64 x 253/1000))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 64009/1000000 (+.f64 253/1000 (.f64 -3/25 x))) (/.f64 (.f64 (.f64 x x) 9/625) (+.f64 253/1000 (.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 2) (cbrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) (sqrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000) (/.f64 1 (fma.f64 (.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000) (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000) (fma.f64 (.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000) (fma.f64 (.f64 x x) 9/625 (-.f64 64009/1000000 (.f64 759/25000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000)) (neg.f64 (fma.f64 (.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))) (neg.f64 (+.f64 253/1000 (.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 x x) 9/625 -64009/1000000) (fma.f64 x 3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000) (fma.f64 (pow.f64 x 3) 27/15625 16194277/1000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 253/1000 (.f64 -3/25 x)) (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 3/25 253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x 3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 3/25 253/1000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3/25 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/25 x 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 3/25) 1 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 3/25)) (pow.f64 (cbrt.f64 (.f64 x 3/25)) 2) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/25)) 2) (cbrt.f64 (.f64 x 3/25)) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 3/25)) (sqrt.f64 (.f64 x 3/25)) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/25 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3/25 (sqrt.f64 x)) (sqrt.f64 x) 253/1000)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))) 2) (cbrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))) (sqrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 3/25 253/1000)) (fma.f64 x (fma.f64 x 3/25 253/1000) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2)) (/.f64 1 (fma.f64 x (fma.f64 x 3/25 253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 x (fma.f64 x 3/25 253/1000)) (fma.f64 x (fma.f64 x 3/25 253/1000) 1) 1) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3)) (fma.f64 (.f64 x (fma.f64 x 3/25 253/1000)) (fma.f64 x (fma.f64 x 3/25 253/1000) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2)) (fma.f64 x (fma.f64 x 3/25 253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3))) (neg.f64 (fma.f64 (.f64 x (fma.f64 x 3/25 253/1000)) (fma.f64 x (fma.f64 x 3/25 253/1000) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2))) (neg.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2)) (-.f64 1 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x 3/25 253/1000)) (fma.f64 x (fma.f64 x 3/25 253/1000) 1) 1) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 1) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2) (neg.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (neg.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (fma.f64 x 3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))) 2) (cbrt.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))) (sqrt.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (fma.f64 x 3/25 253/1000)) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2)) (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 x) 1) (fma.f64 x 3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 2)) (cbrt.f64 (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x 3/25 253/1000))) (sqrt.f64 (fma.f64 x 3/25 253/1000)) 1)))))

simplify195.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	365
1	40	333
2	69	304
3	129	282
4	310	282
5	884	282
6	1356	282
7	1822	282
8	1931	282
9	2064	282
10	2233	282
11	2476	282
12	2791	282
13	3161	282
14	3620	282
15	4211	282
16	4919	282
17	5777	282
18	6201	282
19	6515	282
20	6823	282
21	6901	282
22	6937	282

Stop Event

1×	node limit

Counts

231 → 201

Calls

Call 1

Inputs
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))

Outputs
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 3/25 x)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 (*.f64 3/25 x) 253/1000)
(fma.f64 3/25 x 253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 1 (*.f64 x -253/1000))
(fma.f64 x -253/1000 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 x -253/1000))
(fma.f64 x -253/1000 (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 -253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 x -253/1000))
(fma.f64 x -253/1000 (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 -253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
✓	0.1b	(fma.f64 x -3/25 -253/1000)

Compiler

Compiled 16 to 12 computations (25% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 x -3/25 -253/1000)
1.0ms	x	@	0	(fma.f64 x -3/25 -253/1000)
1.0ms	x	@	inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
1.0ms	x	@	-inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
1.0ms	x	@	0	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
543×	`add-log-exp_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
534×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	136	14
2	1416	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 x -3/25 -253/1000)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) (-.f64 64009/1000000 (.f64 (.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x -3/25) (.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x -3/25 -253/1000)) (.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -253/1000 (*.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/25) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -3/25) 1) -253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) (sqrt.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -3/25) 3) -16194277/1000000000) (+.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) (-.f64 64009/1000000 (*.f64 (*.f64 x -3/25) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x -3/25) (*.f64 x -3/25)) 64009/1000000) (-.f64 (*.f64 x -3/25) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 -253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 -253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 -253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -3/25 -253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 -253/1000)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (fma.f64 x -3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 3) 1) (+.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) (-.f64 1 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) (*.f64 x (fma.f64 x -3/25 -253/1000))) 1) (-.f64 (*.f64 x (fma.f64 x -3/25 -253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x -3/25 -253/1000) 1)))))))

simplify154.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
540×	`cube-prod_binary64`
535×	`associate-l_binary64`
530×	`fabs-mul_binary64`
494×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	182
1	34	168
2	56	156
3	88	144
4	196	144
5	536	144
6	1796	144
7	3152	144
8	3358	144
9	3571	144
10	3791	144
11	4104	144
12	4506	144
13	5017	144
14	5584	144
15	6266	144
16	7101	144
17	7497	144
18	7787	144

Stop Event

1×	node limit

Counts

66 → 55

Calls

Call 1

Inputs
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))

Outputs
-253/1000
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(*.f64 -3/25 x)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
(-.f64 (*.f64 -3/25 x) 253/1000)
(fma.f64 -3/25 x -253/1000)
1
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 -3/25 (.f64 x x)))
(*.f64 x (fma.f64 -3/25 x -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 -3/25 (.f64 x x)))
(*.f64 x (fma.f64 -3/25 x -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(+.f64 1 (*.f64 x (fma.f64 -3/25 x -253/1000)))
(fma.f64 x (fma.f64 -3/25 x -253/1000) 1)

eval89.0ms (1.1%)

Compiler: Compiled 3380 to 2597 computations (23.2% saved)

prune42.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	245	11	256
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	246	12	258

Error

0.0b

Counts

258 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(-.f64 1 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 3/25)) (*.f64 x 253/1000)))
▶	20.9b	(-.f64 1 (*.f64 x 253/1000))
▶	0.4b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x))))
	21.7b	1
▶	22.7b	(-.f64 1 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2))
▶	42.8b	(.f64 -3/25 (.f64 x x))
	1.9b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	5.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
▶	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))
	42.5b	(.f64 x (.f64 x -3/25))
	0.5b	(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))) 3)
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Compiler

Compiled 242 to 186 computations (23.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x))))
✓	0.0b	(+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x)))
✓	0.0b	(*.f64 x 253/1000)
✓	0.4b	(.f64 3/25 (.f64 x x))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 3/25 (.f64 x x))
0.0ms	x	@	inf	(+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x)))
0.0ms	x	@	inf	(*.f64 x 253/1000)
0.0ms	x	@	-inf	(*.f64 x 253/1000)
0.0ms	x	@	inf	(.f64 3/25 (.f64 x x))

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`log-prod_binary64`
462×	`fma-def_binary64`
363×	`exp-prod_binary64`
289×	`pow-prod-down_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	220	34
2	2901	30

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

Inputs
(.f64 3/25 (.f64 x x))
(*.f64 x 253/1000)
(+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x)))
(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3/25 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 3/25 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 3/25 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 3/25 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3/25 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3/25 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9/625 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3/25 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27/15625 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9/625 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3/25 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 27/15625 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3/25 (.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 3/25))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 27/15625 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 3/25)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 253/1000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 253/1000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 64009/1000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 253/1000))) 2)) (cbrt.f64 (log.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 253/1000)))) (sqrt.f64 (log.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x 253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x 253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x 253/1000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x 253/1000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (*.f64 x 253/1000)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (fma.f64 3/25 x 253/1000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 x (-.f64 253/1000 (.f64 3/25 x)))) (/.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 x (-.f64 253/1000 (.f64 3/25 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 3/25 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 253/1000 (.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 3/25 x 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 3/25 x 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 3/25 x 253/1000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 3/25 x 253/1000)) 2)) (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 27/15625 (pow.f64 x 6) (pow.f64 (.f64 x 253/1000) 3)) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 64009/1000000 (.f64 9/625 (pow.f64 x 4))) (.f64 x (.f64 253/1000 (.f64 3/25 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (/.f64 1 (.f64 x (-.f64 253/1000 (.f64 3/25 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 x x) 64009/1000000 (.f64 9/625 (pow.f64 x 4))) (.f64 x (.f64 253/1000 (.f64 3/25 (.f64 x x))))) (fma.f64 27/15625 (pow.f64 x 6) (pow.f64 (.f64 x 253/1000) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (-.f64 253/1000 (.f64 3/25 x))) (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27/15625 (pow.f64 x 6) (pow.f64 (.f64 x 253/1000) 3)) (-.f64 (fma.f64 (.f64 x x) 64009/1000000 (.f64 9/625 (pow.f64 x 4))) (.f64 x (.f64 253/1000 (.f64 3/25 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27/15625 (pow.f64 x 6) (pow.f64 (.f64 x 253/1000) 3)) (fma.f64 9/625 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 x (.f64 253/1000 (.f64 3/25 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (.f64 3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 27/15625 (pow.f64 x 6) (pow.f64 (.f64 x 253/1000) 3))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) 64009/1000000 (.f64 9/625 (pow.f64 x 4))) (.f64 x (.f64 253/1000 (.f64 3/25 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4)))) (neg.f64 (.f64 x (-.f64 253/1000 (.f64 3/25 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 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253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) 2) (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) (neg.f64 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) 2) (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 -3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) 2) (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (.f64 x x)) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) 2) (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 -1 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) 2) (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (cbrt.f64 (.f64 9/625 (pow.f64 x 4)))) (cbrt.f64 (.f64 3/25 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) 2) (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (.f64 x (sqrt.f64 3/25))) (.f64 x (sqrt.f64 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) 2) (cbrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (.f64 3/25 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 2) (cbrt.f64 (neg.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (neg.f64 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 -3/25 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (.f64 x x)) 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 -1 (.f64 3/25 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (cbrt.f64 (.f64 9/625 (pow.f64 x 4)))) (cbrt.f64 (.f64 3/25 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (.f64 x (sqrt.f64 3/25))) (.f64 x (sqrt.f64 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (sqrt.f64 (+.f64 1 (.f64 -253/1000 x))) (.f64 (neg.f64 (.f64 3/25 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) (sqrt.f64 (neg.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 x (fma.f64 3/25 x 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 3/25 x 253/1000)) 2))) (cbrt.f64 (.f64 x (fma.f64 3/25 x 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (.f64 x (fma.f64 3/25 x 253/1000)))) (sqrt.f64 (*.f64 x (fma.f64 3/25 x 253/1000))) 1)))))

simplify193.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
637×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	377
1	36	363
2	65	352
3	136	312
4	327	312
5	898	312
6	1376	312
7	1842	312
8	1951	312
9	2084	312
10	2256	312
11	2497	312
12	2810	312
13	3180	312
14	3637	312
15	4222	312
16	4934	312
17	5794	312
18	6218	312
19	6534	312
20	6840	312
21	6920	312
22	6956	312

Stop Event

1×	node limit

Counts

256 → 222

Calls

Call 1

Inputs
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))

Outputs
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(.f64 x (+.f64 (.f64 3/25 x) 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 1 (*.f64 x -253/1000))
(fma.f64 x -253/1000 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 x -253/1000))
(fma.f64 x -253/1000 (.f64 (.f64 x x) -3/25))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 x -253/1000))
(fma.f64 x -253/1000 (.f64 (.f64 x x) -3/25))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 x -253/1000)))
(fma.f64 (*.f64 x x) -3/25 (fma.f64 x -253/1000 1))
(fma.f64 x -253/1000 (fma.f64 x (*.f64 x -3/25) 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 -3/25 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 -3/25 (.f64 x x))
0.0ms	x	@	inf	(.f64 -3/25 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -3/25 (.f64 x x))

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
403×	`add-log-exp_binary64`
403×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1150	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 -3/25 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -3/25 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3/25 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -3/25 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -3/25 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/625 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/25) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -3/25 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -3/25 (*.f64 x x))))))))

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))

Outputs
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 -3/25 x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x 253/1000)

Compiler

Compiled 12 to 9 computations (25% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x))))
✓	0.2b	(/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (*.f64 -3/25 x)))
✓	0.2b	(*.f64 -3/25 x)
✓	0.4b	(.f64 (.f64 x x) 9/625)

Compiler

Compiled 75 to 50 computations (33.3% saved)

series6.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 x x) 9/625)
1.0ms	x	@	-inf	(.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x))))
1.0ms	x	@	0	(.f64 (.f64 x x) 9/625)
1.0ms	x	@	0	(.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x))))
0.0ms	x	@	inf	(/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (*.f64 -3/25 x)))

rewrite125.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log-prod_binary64`
580×	`prod-diff_binary64`
263×	`fma-def_binary64`
226×	`expm1-udef_binary64`
226×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	299	24
2	4214	24

Stop Event

1×	node limit

Counts

4 → 249

Calls

Call 1

Inputs
(.f64 (.f64 x x) 9/625)
(*.f64 -3/25 x)
(/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (*.f64 -3/25 x)))
(.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 x x) 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 9/625))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 9/625))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 9/625)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 9/625))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 9/625) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -3/25) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x -3/25)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 81/390625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x -3/25))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) x)) (cbrt.f64 (pow.f64 (exp.f64 -3/25) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/25) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/25) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -3/25))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 9/625) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -3/25)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x -3/25) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/25) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x -3/25) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x -3/25)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x -3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 253/1000 (.f64 x -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 253/1000 (neg.f64 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 253/1000 (.f64 (neg.f64 x) -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 253/1000 (.f64 -1 (.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 253/1000 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -3/25)) 2)) (cbrt.f64 (.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 253/1000 (.f64 (neg.f64 (sqrt.f64 (.f64 x -3/25))) (sqrt.f64 (.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -3/25 253/1000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625))))) (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))) (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -3/25 253/1000) (fma.f64 (neg.f64 (/.f64 9/625 (sqrt.f64 (fma.f64 x -3/25 253/1000)))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -3/25 253/1000) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -3/25 253/1000)))) (/.f64 9/625 (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -3/25 253/1000) (fma.f64 (neg.f64 (/.f64 (.f64 x -3/25) (sqrt.f64 (fma.f64 x -3/25 253/1000)))) (/.f64 (.f64 x -3/25) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000)) (neg.f64 (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 64009/1000000 (/.f64 1 (fma.f64 x -3/25 253/1000)) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000))) 9/625 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000)) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000))) 9/625 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000))) (cbrt.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000)))) (cbrt.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000))) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000))) 9/625 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000))) (sqrt.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000))) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000))) 9/625 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 64009/1000000 (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000)) (fma.f64 (.f64 x -3/25) (fma.f64 x -3/25 -253/1000) 64009/1000000) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000))) 9/625 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 64009/1000000 (fma.f64 (.f64 x x) -9/625 64009/1000000)) (fma.f64 x -3/25 253/1000) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000))) 9/625 (.f64 (/.f64 (.f64 x x) (fma.f64 x -3/25 253/1000)) 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 64009/1000000 (/.f64 1 (fma.f64 x -3/25 253/1000)) (neg.f64 (.f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (.f64 (.f64 x x) 9/625)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -3/25 253/1000))) (.f64 (.f64 x x) 9/625) (.f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (.f64 (.f64 x x) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000)) (neg.f64 (.f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (.f64 (.f64 x x) 9/625)))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -3/25 253/1000))) (.f64 (.f64 x x) 9/625) (.f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (.f64 (.f64 x x) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 64009/1000000 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(/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81/390625))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x -3/25)) 2)) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000))) (sqrt.f64 (/.f64 64009/1000000 (fma.f64 x -3/25 253/1000))) (neg.f64 (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 64009/1000000 (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000)) (fma.f64 (.f64 x -3/25) (fma.f64 x -3/25 -253/1000) 64009/1000000) (neg.f64 (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 64009/1000000 (fma.f64 (.f64 x x) -9/625 64009/1000000)) (fma.f64 x -3/25 253/1000) (neg.f64 (/.f64 x (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -3/25 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/25 (sqrt.f64 x)) (sqrt.f64 x) 253/1000)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -3/25 253/1000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -3/25 253/1000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -3/25 253/1000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x -3/25 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x -3/25 253/1000) (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))) (neg.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) 1) (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (cbrt.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 2))) (cbrt.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000)) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (sqrt.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x) (neg.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (neg.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000))) (neg.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x -3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x -3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) 1))))))

simplify174.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
634×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	273
1	25	255
2	43	228
3	79	228
4	212	228
5	666	228
6	982	228
7	1421	228
8	1525	228
9	1660	228
10	1832	228
11	2077	228
12	2392	228
13	2762	228
14	3218	228
15	3803	228
16	4509	228
17	5371	228
18	5793	228
19	6105	228
20	6413	228
21	6493	228
22	6527	228

Stop Event

1×	node limit

Counts

285 → 261

Calls

Call 1

Inputs
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))

Outputs
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(*.f64 3/25 x)
(*.f64 x 3/25)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(*.f64 3/25 x)
(*.f64 x 3/25)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 x 3/25))
(fma.f64 x 3/25 253/1000)
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 (.f64 x x) 3/25)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 (.f64 x x) 3/25)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(*.f64 x (fma.f64 x 3/25 253/1000))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x 3/25 253/1000)
✓	0.1b	(sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000)))
✓	0.1b	(*.f64 x (fma.f64 x 3/25 253/1000))
✓	0.4b	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)

Compiler

Compiled 43 to 33 computations (23.3% saved)

series11.0ms (0.1%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)
1.0ms	x	@	0	(sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000)))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000)))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
648×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
636×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	188	31
2	1781	31

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2)
(*.f64 x (fma.f64 x 3/25 253/1000))
(sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000)))
(fma.f64 x 3/25 253/1000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 3/25) x) (.f64 253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3/25)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x 3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 3/25 253/1000) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 2) (.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2) (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) (.f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/4) (.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/4) (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/4)) (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 2)) (cbrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (fma.f64 x 3/25 253/1000))) (sqrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x 3/25 253/1000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x 3/25 253/1000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 3/25) x) (.f64 253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 3/25)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x 3/25 253/1000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/4) (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2)) (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 3/25 253/1000)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 x (fma.f64 x 3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 253/1000 (.f64 x 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 3/25) 1) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 2) (cbrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) (sqrt.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 3/25) 3) 16194277/1000000000) (+.f64 (.f64 (.f64 x 3/25) (.f64 x 3/25)) (-.f64 64009/1000000 (.f64 (.f64 x 3/25) 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 3/25) (.f64 x 3/25)) 64009/1000000) (-.f64 (*.f64 x 3/25) 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3/25 253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3/25 253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3/25 253/1000)))))))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

559×	`associate-/l*_binary64`
438×	`fma-def_binary64`
398×	`fma-neg_binary64`
362×	`associate-*l/_binary64`
346×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	693
1	317	531
2	1042	478
3	3256	433

Stop Event

1×	node limit

Counts

131 → 114

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 4097152081/12800000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 6) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4097152081/16000000000000 (/.f64 1 (pow.f64 (sqrt.f64 3/25) 6))) (pow.f64 (/.f64 -64009/8000000 (pow.f64 (sqrt.f64 3/25) 3)) 2)) (pow.f64 x 2))) (.f64 253/1000 x))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4097152081/16000000000000 (/.f64 1 (pow.f64 (sqrt.f64 3/25) 6))) (pow.f64 (/.f64 -64009/8000000 (pow.f64 (sqrt.f64 3/25) 3)) 2)) (pow.f64 x 2))) (+.f64 (.f64 253/1000 x) (.f64 4097152081/12800000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 6) (pow.f64 x 2)))))))
(.f64 (pow.f64 (sqrt.f64 -3/25) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(+.f64 (.f64 -253/1000 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -3/25) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))
(+.f64 (.f64 -64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (+.f64 (.f64 -253/1000 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (.f64 (pow.f64 (sqrt.f64 -3/25) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (+.f64 (.f64 -253/1000 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -16194277/8000000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 4))) (.f64 16194277/8000000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 4)))) x)) (+.f64 (.f64 64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (.f64 (pow.f64 (sqrt.f64 -3/25) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))))))
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 (sqrt.f64 3/25) x)
(+.f64 (.f64 (sqrt.f64 3/25) x) (.f64 253/2000 (/.f64 1 (sqrt.f64 3/25))))
(-.f64 (+.f64 (.f64 253/2000 (/.f64 1 (sqrt.f64 3/25))) (.f64 (sqrt.f64 3/25) x)) (.f64 64009/8000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 3) x))))
(-.f64 (+.f64 (.f64 253/2000 (/.f64 1 (sqrt.f64 3/25))) (+.f64 (.f64 16194277/16000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 5) (pow.f64 x 2)))) (.f64 (sqrt.f64 3/25) x))) (.f64 64009/8000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 3) x))))
(.f64 -1 (.f64 (sqrt.f64 -3/25) (*.f64 (sqrt.f64 -1) x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 (sqrt.f64 -1) x))) (.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sqrt.f64 -3/25) 3) x))) (.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sqrt.f64 -3/25) 3) x))) (+.f64 (.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25))) (.f64 16194277/16000000000 (/.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sqrt.f64 -3/25) 5) (pow.f64 x 2)))))))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))
(+.f64 253/1000 (*.f64 3/25 x))

Outputs
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 4097152081/12800000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 6) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4097152081/16000000000000 (/.f64 1 (pow.f64 (sqrt.f64 3/25) 6))) (pow.f64 (/.f64 -64009/8000000 (pow.f64 (sqrt.f64 3/25) 3)) 2)) (pow.f64 x 2))) (.f64 253/1000 x))))
(+.f64 (/.f64 4097152081/12800000000000 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3/25) 6))) (fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 4097152081/16000000000000 (pow.f64 (sqrt.f64 3/25) 6)) (pow.f64 (/.f64 -64009/8000000 (pow.f64 (sqrt.f64 3/25) 3)) 2)) (.f64 x x)) (*.f64 x 253/1000))))
(fma.f64 3/25 (.f64 x x) (-.f64 (fma.f64 x 253/1000 (/.f64 4097152081/22118400000 (.f64 x x))) (/.f64 (+.f64 4097152081/27648000000 (pow.f64 (/.f64 -64009/960000 (sqrt.f64 3/25)) 2)) (*.f64 x x))))
(+.f64 (.f64 x (fma.f64 3/25 x 253/1000)) (-.f64 (/.f64 4097152081/22118400000 (.f64 x x)) (/.f64 (+.f64 4097152081/27648000000 (pow.f64 (/.f64 -64009/960000 (sqrt.f64 3/25)) 2)) (*.f64 x x))))
(+.f64 (/.f64 4097152081/22118400000 (.f64 x x)) (fma.f64 x (fma.f64 3/25 x 253/1000) (/.f64 -4097152081/22118400000 (.f64 x x))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4097152081/16000000000000 (/.f64 1 (pow.f64 (sqrt.f64 3/25) 6))) (pow.f64 (/.f64 -64009/8000000 (pow.f64 (sqrt.f64 3/25) 3)) 2)) (pow.f64 x 2))) (+.f64 (.f64 253/1000 x) (.f64 4097152081/12800000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 6) (pow.f64 x 2)))))))
(+.f64 (/.f64 4097152081/12800000000000 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3/25) 6))) (fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 4097152081/16000000000000 (pow.f64 (sqrt.f64 3/25) 6)) (pow.f64 (/.f64 -64009/8000000 (pow.f64 (sqrt.f64 3/25) 3)) 2)) (.f64 x x)) (*.f64 x 253/1000))))
(fma.f64 3/25 (.f64 x x) (-.f64 (fma.f64 x 253/1000 (/.f64 4097152081/22118400000 (.f64 x x))) (/.f64 (+.f64 4097152081/27648000000 (pow.f64 (/.f64 -64009/960000 (sqrt.f64 3/25)) 2)) (*.f64 x x))))
(+.f64 (.f64 x (fma.f64 3/25 x 253/1000)) (-.f64 (/.f64 4097152081/22118400000 (.f64 x x)) (/.f64 (+.f64 4097152081/27648000000 (pow.f64 (/.f64 -64009/960000 (sqrt.f64 3/25)) 2)) (*.f64 x x))))
(+.f64 (/.f64 4097152081/22118400000 (.f64 x x)) (fma.f64 x (fma.f64 3/25 x 253/1000) (/.f64 -4097152081/22118400000 (.f64 x x))))
(.f64 (pow.f64 (sqrt.f64 -3/25) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 -253/1000 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -3/25) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 -64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (+.f64 (.f64 -253/1000 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (.f64 (pow.f64 (sqrt.f64 -3/25) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))))))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 -64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (+.f64 (.f64 -253/1000 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -16194277/8000000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 4))) (.f64 16194277/8000000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 4)))) x)) (+.f64 (.f64 64009/4000000 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -3/25) 2))) (.f64 (pow.f64 (sqrt.f64 -3/25) 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)))))))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x) (.f64 x 253/1000))
(fma.f64 3/25 (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 3/25 x 253/1000))
(*.f64 (sqrt.f64 3/25) x)
(+.f64 (.f64 (sqrt.f64 3/25) x) (.f64 253/2000 (/.f64 1 (sqrt.f64 3/25))))
(fma.f64 (sqrt.f64 3/25) x (/.f64 253/2000 (sqrt.f64 3/25)))
(-.f64 (+.f64 (.f64 253/2000 (/.f64 1 (sqrt.f64 3/25))) (.f64 (sqrt.f64 3/25) x)) (.f64 64009/8000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 3) x))))
(-.f64 (fma.f64 (sqrt.f64 3/25) x (/.f64 253/2000 (sqrt.f64 3/25))) (/.f64 64009/8000000 (*.f64 x (pow.f64 (sqrt.f64 3/25) 3))))
(-.f64 (fma.f64 (sqrt.f64 3/25) x (/.f64 253/2000 (sqrt.f64 3/25))) (*.f64 64009/8000000 (/.f64 (/.f64 25/3 (sqrt.f64 3/25)) x)))
(fma.f64 (sqrt.f64 3/25) x (+.f64 (/.f64 253/2000 (sqrt.f64 3/25)) (/.f64 (/.f64 -64009/960000 (sqrt.f64 3/25)) x)))
(+.f64 (/.f64 253/2000 (sqrt.f64 3/25)) (fma.f64 (sqrt.f64 3/25) x (/.f64 (/.f64 -64009/960000 (sqrt.f64 3/25)) x)))
(-.f64 (+.f64 (.f64 253/2000 (/.f64 1 (sqrt.f64 3/25))) (+.f64 (.f64 16194277/16000000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 5) (pow.f64 x 2)))) (.f64 (sqrt.f64 3/25) x))) (.f64 64009/8000000 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 3/25) 3) x))))
(-.f64 (+.f64 (/.f64 253/2000 (sqrt.f64 3/25)) (+.f64 (.f64 (sqrt.f64 3/25) x) (/.f64 16194277/16000000000 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 3/25) 5))))) (/.f64 64009/8000000 (.f64 x (pow.f64 (sqrt.f64 3/25) 3))))
(+.f64 (fma.f64 (sqrt.f64 3/25) x (/.f64 16194277/16000000000 (.f64 x (.f64 x (pow.f64 (sqrt.f64 3/25) 5))))) (-.f64 (/.f64 253/2000 (sqrt.f64 3/25)) (*.f64 64009/8000000 (/.f64 (/.f64 25/3 (sqrt.f64 3/25)) x))))
(+.f64 (/.f64 253/2000 (sqrt.f64 3/25)) (+.f64 (/.f64 16194277/16000000000 (.f64 x (.f64 x (pow.f64 (sqrt.f64 3/25) 5)))) (fma.f64 (sqrt.f64 3/25) x (/.f64 (/.f64 -64009/960000 (sqrt.f64 3/25)) x))))
(.f64 -1 (.f64 (sqrt.f64 -3/25) (*.f64 (sqrt.f64 -1) x)))
(neg.f64 (.f64 (sqrt.f64 -3/25) (.f64 x (sqrt.f64 -1))))
(.f64 (.f64 x (sqrt.f64 -1)) (neg.f64 (sqrt.f64 -3/25)))
(.f64 (sqrt.f64 -1) (.f64 x (neg.f64 (sqrt.f64 -3/25))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 (sqrt.f64 -1) x))) (.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25))))
(fma.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 x (sqrt.f64 -1))) (/.f64 (*.f64 253/2000 (sqrt.f64 -1)) (sqrt.f64 -3/25)))
(-.f64 (.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25))) (.f64 x (*.f64 (sqrt.f64 -3/25) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -1) (-.f64 (/.f64 253/2000 (sqrt.f64 -3/25)) (.f64 x (sqrt.f64 -3/25))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sqrt.f64 -3/25) 3) x))) (.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)))))
(fma.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 x (sqrt.f64 -1))) (fma.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 x (pow.f64 (sqrt.f64 -3/25) 3))) (/.f64 (.f64 253/2000 (sqrt.f64 -1)) (sqrt.f64 -3/25))))
(-.f64 (fma.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)) (.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 x (.f64 (sqrt.f64 -3/25) -3/25))))) (.f64 x (*.f64 (sqrt.f64 -3/25) (sqrt.f64 -1))))
(-.f64 (fma.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)) (.f64 (/.f64 -64009/960000 (sqrt.f64 -3/25)) (/.f64 (sqrt.f64 -1) x))) (.f64 x (*.f64 (sqrt.f64 -3/25) (sqrt.f64 -1))))
(-.f64 (.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)) (+.f64 253/2000 (/.f64 64009/8000000 (.f64 x -3/25)))) (.f64 x (.f64 (sqrt.f64 -3/25) (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sqrt.f64 -3/25) 3) x))) (+.f64 (.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25))) (.f64 16194277/16000000000 (/.f64 (sqrt.f64 -1) (.f64 (pow.f64 (sqrt.f64 -3/25) 5) (pow.f64 x 2)))))))
(fma.f64 -1 (.f64 (sqrt.f64 -3/25) (.f64 x (sqrt.f64 -1))) (fma.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 x (pow.f64 (sqrt.f64 -3/25) 3))) (fma.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)) (/.f64 (.f64 16194277/16000000000 (sqrt.f64 -1)) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -3/25) 5))))))
(-.f64 (fma.f64 64009/8000000 (/.f64 (sqrt.f64 -1) (.f64 x (.f64 (sqrt.f64 -3/25) -3/25))) (fma.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)) (.f64 16194277/16000000000 (/.f64 (sqrt.f64 -1) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -3/25) 5)))))) (.f64 x (*.f64 (sqrt.f64 -3/25) (sqrt.f64 -1))))
(-.f64 (fma.f64 253/2000 (/.f64 (sqrt.f64 -1) (sqrt.f64 -3/25)) (fma.f64 16194277/16000000000 (/.f64 (sqrt.f64 -1) (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -3/25) 5))) (.f64 (/.f64 -64009/960000 (sqrt.f64 -3/25)) (/.f64 (sqrt.f64 -1) x)))) (.f64 x (*.f64 (sqrt.f64 -3/25) (sqrt.f64 -1))))
(+.f64 (.f64 (sqrt.f64 -1) (-.f64 (/.f64 253/2000 (sqrt.f64 -3/25)) (.f64 x (sqrt.f64 -3/25)))) (.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 -64009/960000 (sqrt.f64 -3/25)) (/.f64 16194277/16000000000 (.f64 x (pow.f64 (sqrt.f64 -3/25) 5))))))
253/1000
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(*.f64 3/25 x)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)
(+.f64 253/1000 (*.f64 3/25 x))
(fma.f64 3/25 x 253/1000)

eval439.0ms (5.7%)

Compiler: Compiled 17191 to 13395 computations (22.1% saved)

prune257.0ms (3.3%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	635	5	640
Fresh	4	2	6
Picked	1	0	1
Done	0	5	5
Total	640	12	652

Error

0.0b

Counts

652 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
	8.6b	(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 253/1000 (.f64 3/25 x))) (-.f64 (.f64 (.f64 x x) 64009/1000000) (*.f64 9/625 (pow.f64 x 4))))))
▶	1.9b	(-.f64 1 (.f64 (.f64 x x) 3/25))
	21.7b	1
▶	1.7b	(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))
▶	8.6b	(-.f64 1 (/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (*.f64 3/25 x)))))
✓	20.9b	(-.f64 1 (*.f64 x 253/1000))
✓	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))
▶	42.5b	(.f64 x (.f64 x -3/25))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.4b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x))))
✓	42.8b	(.f64 -3/25 (.f64 x x))

Compiler

Compiled 228 to 178 computations (21.9% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))
✓	0.0b	(*.f64 (sqrt.f64 3/25) x)
✓	0.4b	(pow.f64 (*.f64 (sqrt.f64 3/25) x) 2)

Compiler

Compiled 25 to 21 computations (16% saved)

series135.0ms (1.7%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
132.0ms	x	@	0	(pow.f64 (*.f64 (sqrt.f64 3/25) x) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 (sqrt.f64 3/25) x) 2)
1.0ms	x	@	-inf	(pow.f64 (*.f64 (sqrt.f64 3/25) x) 2)
0.0ms	x	@	0	(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))
0.0ms	x	@	inf	(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
746×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	191	23
2	2132	23

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sqrt.f64 3/25) x) 2)
(*.f64 (sqrt.f64 3/25) x)
(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 3/25 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/25 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3/25) (*.f64 x (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sqrt.f64 3/25) (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 3/25) x) (*.f64 (sqrt.f64 3/25) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/25 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3/25)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/25 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/25 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 3/25) x)) (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)) (cbrt.f64 (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 3/25) x)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 3/25) x)) (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3/25) x) (sqrt.f64 (*.f64 (sqrt.f64 3/25) x))) (sqrt.f64 (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3/25) x) (sqrt.f64 3/25)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3/25) x) x) (sqrt.f64 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3/25) x) (cbrt.f64 (*.f64 3/25 (*.f64 x x)))) (cbrt.f64 (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/25) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/25 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 3/25) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/25) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/25 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3/25) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 3/25) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 3/25) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 3/25 (sqrt.f64 3/25)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 3/25 (sqrt.f64 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 3/25) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 3/25) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -3/25 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 -3/25 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3/25 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))) 2) (cbrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)) (*.f64 3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)) (/.f64 1 (+.f64 (*.f64 3/25 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)) (*.f64 3/25 (*.f64 x x))) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 3/25 (*.f64 x x)) 1) (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 6)) (+.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)) (*.f64 3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)) (+.f64 (*.f64 3/25 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 6))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4)) (*.f64 3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 4))) (neg.f64 (+.f64 (*.f64 3/25 (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 -3/25 (*.f64 x x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 -3/25 (*.f64 x x)) (*.f64 -3/25 (*.f64 x x))) (*.f64 -3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 -3/25 (*.f64 x x)) (*.f64 -3/25 (*.f64 x x)))) (-.f64 1 (*.f64 -3/25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 3/25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -3/25 (*.f64 x x))))))))

simplify195.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

901×	`distribute-lft-neg-in_binary64`
901×	`distribute-rgt-neg-in_binary64`
618×	`unswap-sqr_binary64`
608×	`fma-neg_binary64`
570×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	326
1	27	171
2	67	171
3	217	171
4	873	171
5	1898	171
6	3591	171
7	5935	171

Stop Event

1×	node limit

Counts

89 → 71

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
1
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))
(.f64 3/25 (.f64 x x))
1
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x)))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x)))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 1 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (pow.f64 x 2))))
(+.f64 1 (neg.f64 (.f64 (pow.f64 (sqrt.f64 3/25) 2) (.f64 x x))))
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x -3/25))
✓	0.2b	(*.f64 x -3/25)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x -3/25)
0.0ms	x	@	0	(.f64 x (.f64 x -3/25))
0.0ms	x	@	inf	(*.f64 x -3/25)
0.0ms	x	@	inf	(.f64 x (.f64 x -3/25))
0.0ms	x	@	-inf	(.f64 x (.f64 x -3/25))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
435×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
416×	`add-log-exp_binary64`
416×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	101	11
2	1143	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 x -3/25)
(.f64 x (.f64 x -3/25))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -3/25) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -3/25)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/625 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -3/25) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -3/25) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -3/25)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x -3/25))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -3/25)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -3/25))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -3/25)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -3/25)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -3/25))))))))

simplify309.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
443×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	102	132
5	321	132
6	1252	132
7	2126	132
8	2290	132
9	2474	132
10	2682	132
11	2978	132
12	3371	132
13	3852	132
14	4418	132
15	5106	132
16	5941	132
17	6333	132
18	6623	132
19	6895	132
20	6967	132
21	7003	132
22	7944	132

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

Inputs
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))

Outputs
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 x)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (.f64 (.f64 x x) 3/25))
✓	0.4b	(.f64 (.f64 x x) 3/25)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) 3/25)
0.0ms	x	@	0	(-.f64 1 (.f64 (.f64 x x) 3/25))
0.0ms	x	@	inf	(-.f64 1 (.f64 (.f64 x x) 3/25))
0.0ms	x	@	inf	(.f64 (.f64 x x) 3/25)
0.0ms	x	@	-inf	(.f64 (.f64 x x) 3/25)

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary64`
647×	`add-log-exp_binary64`
646×	`log1p-expm1-u_binary64`
646×	`expm1-log1p-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1799	17

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(.f64 (.f64 x x) 3/25)
(-.f64 1 (.f64 (.f64 x x) 3/25))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 x x) 3/25) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3/25)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 3/25)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x x) -3/25))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 (*.f64 x x) -3/25) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -3/25) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (*.f64 (*.f64 x x) -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))) (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))) 2) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 3/25) (*.f64 (pow.f64 x 4) 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 9/625)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 3/25) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 3/25) (*.f64 (pow.f64 x 4) 9/625))) (-.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 3/25) 1) (-.f64 1 (*.f64 (pow.f64 x 4) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625)) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 3/25) (*.f64 (pow.f64 x 4) 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 9/625)) (+.f64 (*.f64 (*.f64 x x) 3/25) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 27/15625))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 3/25) (*.f64 (pow.f64 x 4) 9/625)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 9/625))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 3/25) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 (*.f64 x x) -3/25) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 (*.f64 x x) -3/25) (*.f64 (*.f64 x x) -3/25)) (*.f64 (*.f64 x x) -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 (*.f64 x x) -3/25) (*.f64 (*.f64 x x) -3/25))) (-.f64 1 (*.f64 (*.f64 x x) -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (*.f64 (*.f64 x x) -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (*.f64 x x) -3/25)))))))

simplify160.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	171
1	20	171
2	34	171
3	70	171
4	176	171
5	546	171
6	747	171
7	1161	171
8	1261	171
9	1394	171
10	1566	171
11	1807	171
12	2120	171
13	2490	171
14	2947	171
15	3534	171
16	4242	171
17	5104	171
18	5526	171
19	5840	171
20	6150	171
21	6232	171
22	6268	171

Stop Event

1×	node limit

Counts

63 → 46

Calls

Call 1

Inputs
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
(*.f64 3/25 (pow.f64 x 2))
1
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)

Outputs
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 3/25 x))
1
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -3/25 1)
(fma.f64 x (*.f64 x -3/25) 1)

localize52.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 -3/25 x)
✓	0.3b	(.f64 (-.f64 64009/1000000 (.f64 (*.f64 x x) 9/625)) x)
	0.4b	(.f64 (.f64 x x) 9/625)
✓	5.1b	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (-.f64 64009/1000000 (.f64 (*.f64 x x) 9/625)) x)
0.0ms	x	@	0	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x)))
0.0ms	x	@	-inf	(.f64 (-.f64 64009/1000000 (.f64 (*.f64 x x) 9/625)) x)
0.0ms	x	@	0	(.f64 (-.f64 64009/1000000 (.f64 (*.f64 x x) 9/625)) x)
0.0ms	x	@	inf	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x)))

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`log-prod_binary64`
449×	`prod-diff_binary64`
255×	`fma-def_binary64`
242×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	296	21
2	4015	19

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x)))
(.f64 (-.f64 64009/1000000 (.f64 (*.f64 x x) 9/625)) x)

Outputs

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(/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (*.f64 x (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (/.f64 1 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 253/1000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x -3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) (sqrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (/.f64 1 (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 1) (/.f64 x (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (cbrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000)) (fma.f64 (*.f64 x 3/25) (fma.f64 x -3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -3/25 253/1000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 253/1000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (fma.f64 x -3/25 253/1000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) (pow.f64 (fma.f64 x -3/25 253/1000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 x -3/25 253/1000))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -3/25 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -3/25 253/1000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) (pow.f64 (fma.f64 x -3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -3/25 253/1000))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 64009/1000000 x) (*.f64 (*.f64 (*.f64 x x) -9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 64009/1000000) (*.f64 x (*.f64 (*.f64 x x) -9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 262254607552729/1000000000000000000 (*.f64 729/244140625 (pow.f64 (*.f64 x x) 3))) x) (+.f64 4097152081/1000000000000 (fma.f64 81/390625 (pow.f64 x 4) (*.f64 576081/625000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4097152081/1000000000000 (*.f64 81/390625 (pow.f64 x 4))) x) (fma.f64 x (*.f64 x 9/625) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 262254607552729/1000000000000000000 (*.f64 729/244140625 (pow.f64 (*.f64 x x) 3)))) (+.f64 4097152081/1000000000000 (fma.f64 81/390625 (pow.f64 x 4) (*.f64 576081/625000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4097152081/1000000000000 (*.f64 81/390625 (pow.f64 x 4)))) (fma.f64 x (*.f64 x 9/625) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 64009/1000000 x (*.f64 (*.f64 (*.f64 x x) -9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 64009/1000000 (*.f64 x (*.f64 (*.f64 x x) -9/625)))))))

simplify173.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
489×	`cube-prod_binary64`
488×	`*-commutative_binary64`
462×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	234
1	36	234
2	71	225
3	172	207
4	438	207
5	1670	207
6	3248	207
7	3454	207
8	3704	207
9	3991	207
10	4370	207
11	4892	207
12	5506	207
13	6212	207
14	6683	207
15	7006	207
16	7274	207
17	7444	207
18	7536	207

Stop Event

1×	node limit

Counts

103 → 89

Calls

Call 1

Inputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 64009/1000000 x)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))

Outputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 64009/1000000 x)
(*.f64 x 64009/1000000)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (-.f64 253/1000 (.f64 3/25 x)))
✓	0.2b	(*.f64 3/25 x)
✓	0.5b	(.f64 (.f64 x x) 64009/1000000)
✓	26.2b	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (*.f64 3/25 x))))

Compiler

Compiled 90 to 62 computations (31.1% saved)

series6.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (*.f64 3/25 x))))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (*.f64 3/25 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (*.f64 3/25 x))))
1.0ms	x	@	inf	(.f64 (.f64 x x) 64009/1000000)
0.0ms	x	@	0	(.f64 (.f64 x x) 64009/1000000)

rewrite104.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log-prod_binary64`
549×	`fma-def_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
276×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	375	47
2	5051	43

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (*.f64 3/25 x))))
(.f64 (.f64 x x) 64009/1000000)
(*.f64 3/25 x)
(.f64 x (-.f64 253/1000 (.f64 3/25 x)))

Outputs
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simplify196.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
631×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	318
1	27	318
2	52	300
3	119	264
4	320	264
5	965	264
6	1403	264
7	1867	264
8	1975	264
9	2108	264
10	2277	264
11	2520	264
12	2837	264
13	3209	264
14	3663	264
15	4250	264
16	4958	264
17	5816	264
18	6238	264
19	6556	264
20	6862	264
21	6936	264
22	6970	264

Stop Event

1×	node limit

Counts

186 → 161

Calls

Call 1

Inputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 64009/1000000 (pow.f64 x 2))
(*.f64 253/1000 x)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))

Outputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(*.f64 253/1000 x)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 (.f64 -3/25 x) x)
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 (.f64 -3/25 x) x)
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 253/1000 x))
(fma.f64 253/1000 x (.f64 (.f64 -3/25 x) x))
(.f64 x (+.f64 253/1000 (.f64 x -3/25)))
(*.f64 x (fma.f64 x -3/25 253/1000))

eval520.0ms (6.7%)

Compiler: Compiled 8397 to 6270 computations (25.3% saved)

prune234.0ms (3%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	424	4	428
Fresh	2	0	2
Picked	1	0	1
Done	0	9	9
Total	427	13	440

Error

Counts

440 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.9b	(-.f64 1 (.f64 (.f64 x x) 3/25))
▶	6.2b	(-.f64 1 (/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x))))
▶	5.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x) (+.f64 253/1000 (*.f64 -3/25 x))))
✓	42.8b	(.f64 -3/25 (.f64 x x))
✓	1.7b	(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))
	21.7b	1
✓	5.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	20.9b	(-.f64 1 (*.f64 x 253/1000))
✓	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))
✓	42.5b	(.f64 x (.f64 x -3/25))
▶	8.6b	(-.f64 1 (/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (+.f64 (.f64 x 253/1000) (.f64 (.f64 x -3/25) x))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.4b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x))))

Compiler

Compiled 151 to 119 computations (21.2% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 253/1000 (*.f64 -3/25 x))
✓	0.2b	(*.f64 -9/625 (pow.f64 x 3))
	0.2b	(*.f64 -3/25 x)
✓	5.0b	(/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 47 to 38 computations (19.1% saved)

series4.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x)))
1.0ms	x	@	0	(*.f64 -9/625 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -9/625 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -9/625 (pow.f64 x 3))
0.0ms	x	@	inf	(/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x)))

rewrite229.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
424×	`exp-prod_binary64`
293×	`pow2_binary64`
280×	`pow-prod-down_binary64`
205×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	249	26
2	3073	26

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 253/1000 (*.f64 -3/25 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/625 (/.f64 (pow.f64 x 3) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/625 (/.f64 1 (*.f64 (fma.f64 x -3/25 253/1000) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/625 (*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 -9/625 (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/625 (pow.f64 x 3)) (/.f64 1 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) (pow.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) 2) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) (*.f64 (*.f64 x (cbrt.f64 -9/625)) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))) (sqrt.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (*.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) 9/625) (/.f64 1 (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -3/25 253/1000)) (*.f64 -9/625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 -9/625 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/625 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 -9/625 (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) -2) (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/625 (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 -9/625 (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -3/25 253/1000) -1/2) (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 2) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (*.f64 x (cbrt.f64 -9/625)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000)) (fma.f64 (*.f64 x -3/25) (fma.f64 x -3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/625 (pow.f64 x 3)) (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x)))) (+.f64 253/1000 (*.f64 3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 x 6) 81/390625) (pow.f64 (fma.f64 x -3/25 253/1000) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -9/625 (fma.f64 x -3/25 253/1000)) (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (cbrt.f64 -9/625)) (cbrt.f64 (fma.f64 x -3/25 253/1000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -9/625 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -9/625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -9/625 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9/625 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 81/390625) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -9/625)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 x) (log.f64 -9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)))) (sqrt.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 81/390625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9/625) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -9/625 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9/625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9/625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -9/625)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -9/625))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -9/625) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -9/625)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -3/25 253/1000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 64009/1000000 (+.f64 253/1000 (*.f64 3/25 x))) (/.f64 (*.f64 9/625 (*.f64 x x)) (+.f64 253/1000 (*.f64 3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2) (cbrt.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -3/25 253/1000)) (sqrt.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000) (/.f64 1 (fma.f64 (*.f64 x -3/25) (fma.f64 x -3/25 -253/1000) 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/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000)) (neg.f64 (fma.f64 (*.f64 x -3/25) (fma.f64 x -3/25 -253/1000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 64009/1000000 (*.f64 9/625 (*.f64 x x)))) (neg.f64 (+.f64 253/1000 (*.f64 3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9/625 (*.f64 x x) -64009/1000000) (fma.f64 x -3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -3/25 253/1000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -3/25 253/1000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -3/25 253/1000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change 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253/1000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -3/25 253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x -3/25 253/1000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -3/25 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x -3/25 253/1000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3/25 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/25 x 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -3/25) 1 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x -3/25)) (cbrt.f64 (*.f64 9/625 (*.f64 x x))) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/625 (*.f64 x x))) (cbrt.f64 (*.f64 x -3/25)) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -3/25)) (sqrt.f64 (*.f64 x -3/25)) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -3/25) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/25 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 253/1000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/25 (sqrt.f64 x)) (sqrt.f64 x) 253/1000)))))

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l*_binary64`
492×	`unswap-sqr_binary64`
492×	`fma-def_binary64`
482×	`associate-/r/_binary64`
472×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	183
1	96	183
2	220	173
3	661	154
4	2509	154
5	4739	154
6	5187	154
7	6585	154

Stop Event

1×	node limit

Counts

148 → 151

Calls

Call 1

Inputs
(*.f64 -72/1265 (pow.f64 x 3))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (.f64 -72/1265 (pow.f64 x 3)))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (*.f64 -207360/16194277 (pow.f64 x 5))))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (+.f64 (.f64 -24883200/4097152081 (pow.f64 x 6)) (.f64 -207360/16194277 (pow.f64 x 5)))))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (*.f64 3/25 (pow.f64 x 2)))))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (*.f64 3/25 (pow.f64 x 2)))))
253/1000
(*.f64 -3/25 x)
(*.f64 -3/25 x)

Outputs
(*.f64 -72/1265 (pow.f64 x 3))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (.f64 -72/1265 (pow.f64 x 3)))
(fma.f64 -1728/64009 (pow.f64 x 4) (*.f64 -72/1265 (pow.f64 x 3)))
(fma.f64 -72/1265 (pow.f64 x 3) (*.f64 -1728/64009 (pow.f64 x 4)))
(.f64 (pow.f64 x 3) (+.f64 -72/1265 (.f64 x -1728/64009)))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (*.f64 -207360/16194277 (pow.f64 x 5))))
(fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -72/1265 (pow.f64 x 3) (*.f64 -207360/16194277 (pow.f64 x 5))))
(fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -207360/16194277 (pow.f64 x 5) (*.f64 -1728/64009 (pow.f64 x 4))))
(fma.f64 -207360/16194277 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 -72/1265 (.f64 x -1728/64009))))
(+.f64 (.f64 -1728/64009 (pow.f64 x 4)) (+.f64 (.f64 -72/1265 (pow.f64 x 3)) (+.f64 (.f64 -24883200/4097152081 (pow.f64 x 6)) (.f64 -207360/16194277 (pow.f64 x 5)))))
(fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -24883200/4097152081 (pow.f64 x 6) (*.f64 -207360/16194277 (pow.f64 x 5)))))
(fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -207360/16194277 (pow.f64 x 5) (*.f64 -24883200/4097152081 (pow.f64 x 6)))))
(fma.f64 -72/1265 (pow.f64 x 3) (fma.f64 -1728/64009 (pow.f64 x 4) (fma.f64 -207360/16194277 (pow.f64 x 5) (*.f64 -24883200/4097152081 (pow.f64 x 6)))))
(fma.f64 -207360/16194277 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (.f64 x -1728/64009) (fma.f64 (pow.f64 x 3) -24883200/4097152081 -72/1265))))
(fma.f64 -207360/16194277 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (fma.f64 (pow.f64 x 3) -24883200/4097152081 -72/1265) (.f64 x -1728/64009))))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 x 253/1000 (.f64 x (.f64 x 3/25)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))) 64009/120000)
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) 64009/120000)
(fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000))
(fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000)
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (*.f64 3/25 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 16194277/14400000 x) 64009/120000) (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) (+.f64 64009/120000 (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000)) (/.f64 16194277/14400000 x))
(+.f64 64009/120000 (fma.f64 x (fma.f64 x 3/25 253/1000) (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000) (/.f64 16194277/14400000 x))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 x 253/1000 (.f64 x (.f64 x 3/25)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
(+.f64 (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))) 64009/120000)
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) 64009/120000)
(fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000))
(fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000)
(+.f64 (.f64 16194277/14400000 (/.f64 1 x)) (+.f64 64009/120000 (+.f64 (.f64 253/1000 x) (*.f64 3/25 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 16194277/14400000 x) 64009/120000) (fma.f64 253/1000 x (.f64 3/25 (.f64 x x))))
(+.f64 (fma.f64 x 253/1000 (.f64 x (.f64 x 3/25))) (+.f64 64009/120000 (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 3/25 (*.f64 x x) (fma.f64 x 253/1000 64009/120000)) (/.f64 16194277/14400000 x))
(+.f64 64009/120000 (fma.f64 x (fma.f64 x 3/25 253/1000) (/.f64 16194277/14400000 x)))
(+.f64 (fma.f64 x (fma.f64 x 3/25 253/1000) 64009/120000) (/.f64 16194277/14400000 x))
253/1000
(*.f64 -3/25 x)
(*.f64 x -3/25)
(*.f64 -3/25 x)
(*.f64 x -3/25)

localize78.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x -3/25)
✓	0.3b	(.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x)
✓	0.3b	(pow.f64 (*.f64 x -3/25) 2)
✓	5.1b	(/.f64 (.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x) (+.f64 253/1000 (*.f64 -3/25 x)))

Compiler

Compiled 71 to 57 computations (19.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x) (+.f64 253/1000 (*.f64 -3/25 x)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x) (+.f64 253/1000 (*.f64 -3/25 x)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x) (+.f64 253/1000 (*.f64 -3/25 x)))
0.0ms	x	@	-inf	(.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x)
0.0ms	x	@	inf	(.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x)

rewrite222.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
331×	`pow2_binary64`
291×	`prod-diff_binary64`
230×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	299	30
2	3626	28

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x) (+.f64 253/1000 (*.f64 -3/25 x)))
(pow.f64 (*.f64 x -3/25) 2)
(.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 64009/1000000 (/.f64 (fma.f64 x -3/25 253/1000) x)) (/.f64 (pow.f64 (*.f64 x 3/25) 2) (/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (/.f64 1 (/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (*.f64 x (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (/.f64 1 (fma.f64 x -3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (/.f64 1 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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#<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (cbrt.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (pow.f64 (cbrt.f64 (fma.f64 x -3/25 253/1000)) 2)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (cbrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 x (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2) (sqrt.f64 (fma.f64 x -3/25 253/1000))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) (sqrt.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (-.f64 253/1000 (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (fma.f64 (pow.f64 x 3) -27/15625 16194277/1000000000)) (fma.f64 (*.f64 x 3/25) (fma.f64 x 3/25 -253/1000) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) (pow.f64 (fma.f64 x -3/25 253/1000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) (neg.f64 (fma.f64 x -3/25 253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) (pow.f64 (fma.f64 x -3/25 253/1000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 253/1000 (*.f64 x 3/25)) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x 3/25) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 3/25) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 x 3/25) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 3/25) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 x 3/25) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x 3/25) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -3/25 (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/25 (*.f64 x (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3/25) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/25) (*.f64 x 3/25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x 3/25) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/625 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) (cbrt.f64 (pow.f64 (*.f64 x 3/25) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) (*.f64 (cbrt.f64 (*.f64 x 3/25)) (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 3/25) 4)) (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3/25)) (*.f64 (sqrt.f64 (*.f64 x 3/25)) (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9/625)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 3/25)) 3) (sqrt.f64 (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3/25) x) -3/25)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3/25) -3/25) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3/25) (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2)) (cbrt.f64 (*.f64 x 3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3/25) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x 3/25) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x 3/25) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3/25) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 3/25) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 3/25) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 x 3/25) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 3/25) 2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 64009/1000000 x) (*.f64 (*.f64 (*.f64 x x) -9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 64009/1000000) (*.f64 x (*.f64 (*.f64 x x) -9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 262254607552729/1000000000000000000 (pow.f64 (*.f64 x 3/25) 6)) x) (fma.f64 (pow.f64 (*.f64 x 3/25) 2) (fma.f64 9/625 (*.f64 x x) 64009/1000000) 4097152081/1000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4097152081/1000000000000 (pow.f64 (*.f64 x 3/25) 4)) x) (fma.f64 9/625 (*.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 262254607552729/1000000000000000000 (pow.f64 (*.f64 x 3/25) 6))) (fma.f64 (pow.f64 (*.f64 x 3/25) 2) (fma.f64 9/625 (*.f64 x x) 64009/1000000) 4097152081/1000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4097152081/1000000000000 (pow.f64 (*.f64 x 3/25) 4))) (fma.f64 9/625 (*.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -9/625 64009/1000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -9/625 64009/1000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 64009/1000000 x (*.f64 (*.f64 (*.f64 x x) -9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 64009/1000000 (*.f64 x (*.f64 (*.f64 x x) -9/625)))))))

simplify124.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-def_binary64`
568×	`distribute-lft-in_binary64`
568×	`distribute-rgt-in_binary64`
536×	`unswap-sqr_binary64`
531×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	318
1	39	318
2	78	309
3	186	291
4	485	291
5	1865	291
6	3200	291
7	3480	291
8	4052	291
9	5127	291
10	7110	291
11	7633	291

Stop Event

1×	node limit

Counts

144 → 120

Calls

Call 1

Inputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 9/625 (pow.f64 x 2))
(*.f64 64009/1000000 x)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))

Outputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 (.f64 x 3/25) 253/1000))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 (.f64 x x) 9/625)
(.f64 x (.f64 x 9/625))
(*.f64 64009/1000000 x)
(*.f64 x 64009/1000000)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(*.f64 -9/625 (pow.f64 x 3))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 (.f64 x x) -9/625 64009/1000000))

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x -3/25) x)
	0.2b	(*.f64 x -3/25)
	0.5b	(.f64 (.f64 x x) 64009/1000000)
✓	26.2b	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (+.f64 (.f64 x 253/1000) (.f64 (.f64 x -3/25) x)))

Compiler

Compiled 99 to 66 computations (33.3% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (+.f64 (.f64 x 253/1000) (.f64 (.f64 x -3/25) x)))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (+.f64 (.f64 x 253/1000) (.f64 (.f64 x -3/25) x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (+.f64 (.f64 x 253/1000) (.f64 (.f64 x -3/25) x)))
0.0ms	x	@	0	(.f64 (.f64 x -3/25) x)
0.0ms	x	@	inf	(.f64 (.f64 x -3/25) x)

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`log-prod_binary64`
458×	`fma-neg_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
239×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	36
1	392	17
2	5324	17

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (+.f64 (.f64 x 253/1000) (.f64 (.f64 x -3/25) x)))
(.f64 (.f64 x -3/25) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 253/1000) (neg.f64 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 253/1000) (*.f64 (neg.f64 x) (*.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 253/1000) (*.f64 (neg.f64 (*.f64 x -3/25)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 253/1000) (*.f64 -1 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 253/1000) (*.f64 (neg.f64 (cbrt.f64 (*.f64 9/625 (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (*.f64 x -3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 253/1000) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x (*.f64 x -3/25)))) (sqrt.f64 (*.f64 x (*.f64 x -3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 64009/1000000 (/.f64 (*.f64 x x) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule 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egg-rr> (2) ((x fma.f64 (/.f64 64009/1000000 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4097152081/1000000000000)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))) 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 253/1000)) 2) (cbrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 253/1000) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))) 2)) (/.f64 (*.f64 x 253/1000) (cbrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (/.f64 (*.f64 x 64009/1000000) (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (/.f64 64009/1000000 (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 64009/1000000 (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4097152081/1000000000000)) (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 253/1000)) 2) (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 253/1000) (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (/.f64 (*.f64 x 253/1000) (sqrt.f64 (*.f64 x (+.f64 253/1000 (*.f64 x -3/25))))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 64009/1000000)) (+.f64 (*.f64 16194277/1000000000 (pow.f64 x 3)) (pow.f64 (*.f64 x (*.f64 x -3/25)) 3))) (-.f64 (fma.f64 x (*.f64 x 64009/1000000) (*.f64 9/625 (pow.f64 x 4))) (*.f64 (*.f64 (*.f64 x 253/1000) x) (*.f64 x -3/25))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 64009/1000000)) (fma.f64 x (*.f64 x 64009/1000000) (*.f64 (pow.f64 x 4) -9/625))) (*.f64 x (-.f64 253/1000 (*.f64 x -3/25))) (neg.f64 (*.f64 9/625 (/.f64 (pow.f64 x 4) (*.f64 x (+.f64 253/1000 (*.f64 x -3/25)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 253/1000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 253/1000 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 x (*.f64 x -3/25))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -3/25) x) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -3/25) x) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -3/25) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -3/25) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -3/25) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -3/25)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/625 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -3/25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -3/25))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x -3/25))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -3/25)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/625 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (*.f64 x -3/25)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -3/25) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -3/25)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -3/25)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -3/25))) 1))))))

simplify165.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
631×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	201
1	21	201
2	39	192
3	87	174
4	223	174
5	675	174
6	990	174
7	1429	174
8	1533	174
9	1666	174
10	1835	174
11	2078	174
12	2391	174
13	2763	174
14	3218	174
15	3801	174
16	4511	174
17	5373	174
18	5799	174
19	6111	174
20	6417	174
21	6495	174
22	6529	174

Stop Event

1×	node limit

Counts

136 → 119

Calls

Call 1

Inputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 3/25 (pow.f64 x 2))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))
(*.f64 -3/25 (pow.f64 x 2))

Outputs
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(fma.f64 3/25 (.f64 x x) (.f64 253/1000 x))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 (.f64 x x) -3/25)
(.f64 x (.f64 x -3/25))

eval564.0ms (7.3%)

Compiler: Compiled 9196 to 7289 computations (20.7% saved)

prune228.0ms (2.9%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	447	3	450
Fresh	0	1	1
Picked	1	0	1
Done	3	8	11
Total	451	12	463

Error

Counts

463 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(-.f64 1 (pow.f64 (/.f64 1 (.f64 x (-.f64 253/1000 (.f64 x -3/25)))) -1))
✓	20.9b	(-.f64 1 (*.f64 x 253/1000))
	5.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	42.5b	(.f64 x (.f64 x -3/25))
✓	1.7b	(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))
	21.7b	1
	5.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x 3/25) (.f64 x 3/25))) x) (+.f64 253/1000 (*.f64 -3/25 x))))
✓	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))
✓	1.9b	(-.f64 1 (.f64 (.f64 x x) 3/25))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.4b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x))))
✓	42.8b	(.f64 -3/25 (.f64 x x))

Compiler

Compiled 129 to 102 computations (20.9% saved)

regimes46.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 (*.f64 x 253/1000))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(-.f64 1 (.f64 (.f64 x x) 3/25))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 3/25 (*.f64 x x))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x 3/25) (.f64 x 3/25))) x) (+.f64 253/1000 (*.f64 -3/25 x))))
(-.f64 1 (pow.f64 (/.f64 1 (.f64 x (-.f64 253/1000 (.f64 x -3/25)))) -1))
(-.f64 1 (/.f64 (.f64 -9/625 (pow.f64 x 3)) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (pow.f64 (.f64 x -3/25) 2)) x) (+.f64 253/1000 (*.f64 -3/25 x))))
(-.f64 1 (/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (.f64 x (-.f64 253/1000 (*.f64 3/25 x)))))
(-.f64 1 (/.f64 (-.f64 (.f64 (.f64 x x) 64009/1000000) (.f64 9/625 (pow.f64 x 4))) (+.f64 (.f64 x 253/1000) (.f64 (.f64 x -3/25) x))))
(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 253/1000 (.f64 3/25 x))) (-.f64 (.f64 (.f64 x x) 64009/1000000) (*.f64 9/625 (pow.f64 x 4))))))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (pow.f64 (*.f64 (sqrt.f64 3/25) x) 2))
(-.f64 1 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x (fma.f64 x 3/25 253/1000)))) 3)
(-.f64 1 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 3/25)) (*.f64 x 253/1000)))

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Calls

3 calls:

14.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
13.0ms	x
10.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`

Compiler

Compiled 306 to 228 computations (25.5% saved)

regimes9.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 (*.f64 x 253/1000))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(-.f64 1 (.f64 (.f64 x x) 3/25))
(-.f64 1 (.f64 3/25 (.f64 x x)))

Outputs
(-.f64 1 (.f64 (.f64 x x) 3/25))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.9b	1	`x`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes16.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
1
1
1
(-.f64 1 (*.f64 x 253/1000))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))

Outputs
(.f64 x (.f64 x -3/25))
(-.f64 1 (*.f64 x 253/1000))
(.f64 x (.f64 x -3/25))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.5645384811959887	4390.128249611582
16.0ms	-326855712.47714084	-3.4860170119536496e-6

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes16.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
1
1
1
(-.f64 1 (*.f64 x 253/1000))
(.f64 -3/25 (.f64 x x))

Outputs
(.f64 -3/25 (.f64 x x))
(-.f64 1 (*.f64 x 253/1000))
(.f64 -3/25 (.f64 x x))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.5645384811959887	4390.128249611582
17.0ms	-326855712.47714084	-3.4860170119536496e-6

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes6.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
1
1
1
(-.f64 1 (*.f64 x 253/1000))

Outputs
(-.f64 1 (*.f64 x 253/1000))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
20.9b	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
1
1
1

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
21.7b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
12×	`+-commutative_binary64`
11×	`sub-neg_binary64`
10×	`distribute-rgt-neg-in_binary64`
9×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	97
1	51	97
2	81	97
3	96	97
4	110	97
5	117	97
6	124	97
7	126	97
8	127	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (.f64 (.f64 x x) 3/25))
(if (<=.f64 x -5483728889062887/16777216) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 5084910587101121/9007199254740992) (-.f64 1 (.f64 x 253/1000)) (.f64 x (*.f64 x -3/25))))
(if (<=.f64 x -5483728889062887/16777216) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 5084910587101121/9007199254740992) (-.f64 1 (.f64 x 253/1000)) (.f64 -3/25 (*.f64 x x))))
(-.f64 1 (*.f64 x 253/1000))
1

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(+.f64 1 (.f64 x (+.f64 -253/1000 (.f64 x -3/25))))
(-.f64 1 (.f64 (.f64 x x) 3/25))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(if (<=.f64 x -5483728889062887/16777216) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 5084910587101121/9007199254740992) (-.f64 1 (.f64 x 253/1000)) (.f64 x (*.f64 x -3/25))))
(if (<=.f64 x -5483728889062887/16777216) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 5084910587101121/9007199254740992) (+.f64 1 (.f64 x -253/1000)) (.f64 x (*.f64 x -3/25))))
(if (<=.f64 x -5483728889062887/16777216) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 5084910587101121/9007199254740992) (-.f64 1 (.f64 x 253/1000)) (.f64 -3/25 (*.f64 x x))))
(if (<=.f64 x -5483728889062887/16777216) (.f64 (.f64 x x) -3/25) (if (<=.f64 x 5084910587101121/9007199254740992) (-.f64 1 (.f64 x 253/1000)) (.f64 (*.f64 x x) -3/25)))
(if (<=.f64 x -5483728889062887/16777216) (.f64 (.f64 x x) -3/25) (if (<=.f64 x 5084910587101121/9007199254740992) (+.f64 1 (.f64 x -253/1000)) (.f64 (*.f64 x x) -3/25)))
(-.f64 1 (*.f64 x 253/1000))
(+.f64 1 (*.f64 x -253/1000))
1

Compiler

Compiled 74 to 54 computations (27% saved)

soundness0.0ms (0%)

end48.0ms (0.6%)

Compiler: Compiled 69 to 48 computations (30.4% saved)