Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample992.0ms (13.1%)

Results

977.0ms	8256×	body	256	valid
1.0ms	10×	body	256	invalid

preprocess39.0ms (0.5%)

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
769×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	158	17
2	2067	17

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

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

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

simplify195.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
546×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	237
1	22	219
2	36	192
3	62	192
4	156	192
5	472	192
6	1719	192
7	2983	192
8	3187	192
9	3401	192
10	3621	192
11	3931	192
12	4333	192
13	4848	192
14	5414	192
15	6098	192
16	6931	192
17	7325	192
18	7613	192
19	7891	192
20	7963	192
21	7999	192

Stop Event

1×	node limit

Counts

103 → 76

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))

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)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 12 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.0ms	x	@	-inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.0ms	x	@	inf	(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
0.0ms	x	@	-inf	(fma.f64 x -3/25 -253/1000)
0.0ms	x	@	0	(fma.f64 x -3/25 -253/1000)

rewrite54.0ms (0.7%)

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

Outputs
((#(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)))))))
((#(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)))))))

Outputs

((#(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)))))))

((#(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)))))))

simplify151.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
540×	`cube-prod_binary64`
531×	`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	193	144
5	536	144
6	1813	144
7	3138	144
8	3344	144
9	3557	144
10	3777	144
11	4091	144
12	4491	144
13	5002	144
14	5569	144
15	6261	144
16	7094	144
17	7486	144
18	7774	144

Stop Event

1×	node limit

Counts

66 → 56

Calls

Call 1

Inputs
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)))
-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)

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

eval43.0ms (0.6%)

Compiler: Compiled 1621 to 1261 computations (22.2% saved)

prune28.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	121	11	132
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	122	12	134

Error

0.0b

Counts

134 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
▶	2.9b	(-.f64 1 (.f64 3/25 (.f64 x x)))
▶	6.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))
	0.5b	(-.f64 1 (.f64 x (+.f64 253/1000 (pow.f64 (cbrt.f64 (.f64 x 3/25)) 3))))
	25.7b	1
	24.5b	(-.f64 1 (*.f64 x 253/1000))
	0.4b	(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
▶	39.7b	(.f64 x (.f64 x -3/25))
	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
	8.9b	(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))
▶	6.2b	(-.f64 1 (.f64 x (/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (*.f64 759/25000 x))))))

Compiler

Compiled 310 to 244 computations (21.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 25 computations (30.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
841×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	176	19
2	2298	19

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

simplify183.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
549×	`fabs-mul_binary64`
542×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	249
1	18	249
2	32	240
3	69	222
4	168	222
5	495	222
6	1761	222
7	3001	222
8	3205	222
9	3418	222
10	3638	222
11	3946	222
12	4348	222
13	4857	222
14	5423	222
15	6111	222
16	6952	222
17	7346	222
18	7634	222
19	7910	222
20	7982	222

Stop Event

1×	node limit

Counts

100 → 70

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)))

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))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x -3/25)
✓	0.2b	(.f64 x (.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
1.0ms	x	@	0	(.f64 x (.f64 x -3/25))
0.0ms	x	@	inf	(.f64 x (.f64 x -3/25))
0.0ms	x	@	0	(*.f64 x -3/25)
0.0ms	x	@	-inf	(.f64 x (.f64 x -3/25))
0.0ms	x	@	inf	(*.f64 x -3/25)

rewrite46.0ms (0.6%)

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

Outputs

((#(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))))))))

((#(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)))))))

simplify177.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
557×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
442×	`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	104	132
5	328	132
6	1233	132
7	2113	132
8	2277	132
9	2461	132
10	2669	132
11	2968	132
12	3361	132
13	3844	132
14	4412	132
15	5104	132
16	5939	132
17	6331	132
18	6617	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 (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 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)

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))
(*.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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% 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))

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	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))))))))

simplify173.0ms (2.3%)

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))

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -3/25 x)
✓	0.3b	(.f64 (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))) x)
✓	0.4b	(.f64 9/625 (.f64 x x))
✓	5.8b	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`log-prod_binary64`
458×	`prod-diff_binary64`
258×	`fma-def_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	297	32
2	4015	30

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(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 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000)))) (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 x (fma.f64 x -3/25 253/1000))))) (log.f64 (sqrt.f64 (exp.f64 (.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 (/.f64 64009/1000000 (/.f64 (fma.f64 x -3/25 253/1000) x)) (/.f64 (.f64 9/625 (.f64 x x)) (/.f64 (fma.f64 x -3/25 253/1000) x)))))) (#(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 (.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 (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 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(/.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 9/625 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9/625 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9/625 (.f64 x x)) 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 9/625) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9/625 (.f64 x x)))))))) (#(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 9/625 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9/625 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 9/625)) 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 -9/625 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 64009/1000000) (.f64 x (.f64 (.f64 -9/625 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 x x) -9/625 64009/1000000)) x)))) (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 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625)) x) (+.f64 4097152081/1000000000000 (fma.f64 576081/625000000 (.f64 x x) (.f64 (pow.f64 x 4) 81/390625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4097152081/1000000000000 (.f64 (pow.f64 x 4) 81/390625)) x) (fma.f64 9/625 (.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 262254607552729/1000000000000000000 (.f64 (pow.f64 (.f64 x x) 3) 729/244140625))) (+.f64 4097152081/1000000000000 (fma.f64 576081/625000000 (.f64 x x) (.f64 (pow.f64 x 4) 81/390625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 4097152081/1000000000000 (.f64 (pow.f64 x 4) 81/390625))) (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)) 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 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 -9/625 x) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 64009/1000000 (.f64 x (.f64 (.f64 -9/625 x) x)))))))
((#(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 9/625 (.f64 x x)) 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 (.f64 -27/15625 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 9/625 (.f64 x x)))))) (#(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 (.f64 -27/15625 (pow.f64 x 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))))))

simplify126.0ms (1.7%)

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

146 → 122

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))

localize47.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 27/15625 (pow.f64 x 3))
✓	0.3b	(*.f64 759/25000 x)
	0.4b	(.f64 9/625 (.f64 x x))
✓	5.9b	(/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (.f64 759/25000 x))))

Compiler

Compiled 114 to 82 computations (28.1% saved)

series6.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (.f64 759/25000 x))))
1.0ms	x	@	inf	(/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (.f64 759/25000 x))))
1.0ms	x	@	-inf	(/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (.f64 759/25000 x))))
0.0ms	x	@	inf	(*.f64 27/15625 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 27/15625 (pow.f64 x 3))

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
555×	`fma-def_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
303×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	398	35
2	5112	33

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (.f64 759/25000 x))))
(*.f64 759/25000 x)
(*.f64 27/15625 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (/.f64 1 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))) (pow.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 2)) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (cbrt.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 2)) (cbrt.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 2)) (/.f64 (sqrt.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (cbrt.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sqrt.f64 (fma.f64 x -759/25000 64009/1000000)) (*.f64 x 3/25))) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (hypot.f64 (sqrt.f64 (fma.f64 x -759/25000 64009/1000000)) (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) 2)) (hypot.f64 (sqrt.f64 (fma.f64 x -759/25000 64009/1000000)) (*.f64 x 3/25))) (/.f64 (cbrt.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (hypot.f64 (sqrt.f64 (fma.f64 x -759/25000 64009/1000000)) (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 729/244140625 (pow.f64 x 6) (pow.f64 (fma.f64 x -759/25000 64009/1000000) 3))) (fma.f64 (fma.f64 x -759/25000 64009/1000000) (-.f64 (fma.f64 x -759/25000 64009/1000000) (*.f64 x (*.f64 x 9/625))) (*.f64 81/390625 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (-.f64 (*.f64 81/390625 (pow.f64 x 4)) (pow.f64 (fma.f64 x -759/25000 64009/1000000) 2))) (+.f64 (fma.f64 x (*.f64 x 9/625) -64009/1000000) (*.f64 x 759/25000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)) (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (neg.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) 3) (pow.f64 (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (*.f64 x 9/625) (fma.f64 x -759/25000 64009/1000000)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 759/25000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 759/25000) x)) (cbrt.f64 (pow.f64 (exp.f64 759/25000) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 759/25000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 759/25000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 759/25000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 759/25000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 759/25000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 759/25000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 759/25000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 437245479/15625000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 576081/625000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 759/25000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 759/25000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 437245479/15625000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 759/25000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 759/25000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 759/25000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 759/25000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 27/15625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 27/15625 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27/15625 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/25) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 27/15625) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683/3814697265625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 729/244140625 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 27/15625 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 19683/3814697265625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27/15625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27/15625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 3/25))) 1))))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	54
2	10	54

Stop Event

1×

saturated

Counts

82 → 74

Calls

Call 1

Inputs
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
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)

eval242.0ms (3.2%)

Compiler: Compiled 6433 to 4890 computations (24% saved)

prune88.0ms (1.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	330	7	337
Fresh	3	3	6
Picked	1	0	1
Done	1	4	5
Total	335	14	349

Error

Counts

349 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
✓	2.9b	(-.f64 1 (.f64 3/25 (.f64 x x)))
▶	40.0b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x -3/25)) 3))
	25.7b	1
▶	8.9b	(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))
	0.5b	(-.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 3/25 253/1000))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	39.7b	(.f64 x (.f64 x -3/25))
	8.9b	(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x 3/25) 253/1000)) (-.f64 (pow.f64 (.f64 x (.f64 x 3/25)) 2) (.f64 (.f64 x x) 64009/1000000)))))
▶	24.5b	(-.f64 1 (*.f64 x 253/1000))
▶	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
	6.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))
▶	0.3b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
	2.7b	(-.f64 1 (.f64 x (.f64 x 3/25)))

Compiler

Compiled 310 to 239 computations (22.9% saved)

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000))
	0.1b	(*.f64 x 253/1000)
	0.4b	(.f64 3/25 (.f64 x x))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	10
2	2265	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify229.0ms (3%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
529×	`associate-l_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3372	90
10	3592	90
11	3905	90
12	4307	90
13	4820	90
14	5388	90
15	6070	90
16	6905	90
17	7299	90
18	7587	90
19	7863	90
20	7939	90
21	7975	90

Stop Event

1×	node limit

Counts

52 → 45

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)))

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 1 (*.f64 x 253/1000))
0.0ms	x	@	inf	(-.f64 1 (*.f64 x 253/1000))
0.0ms	x	@	-inf	(-.f64 1 (*.f64 x 253/1000))

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
566×	`add-log-exp_binary64`
566×	`log1p-expm1-u_binary64`
566×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1521	7

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	10	54
2	12	54

Stop Event

1×

saturated

Counts

40 → 32

Calls

Call 1

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

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 50 computations (33.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite121.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log-prod_binary64`
341×	`fma-def_binary64`
311×	`prod-diff_binary64`
246×	`fma-neg_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	299	13
2	4001	13

Stop Event

1×	node limit

Counts

2 → 227

Calls

Call 1

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

Outputs

((#(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 (fma.f64 x 3/25 253/1000) (fma.f64 (neg.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))) (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000))) (neg.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(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 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 9/625 (*.f64 x x)) (/.f64 1 (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000)))) (cbrt.f64 (*.f64 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000))))) (cbrt.f64 (*.f64 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000)))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000)))) (sqrt.f64 (*.f64 9/625 (/.f64 (*.f64 x x) (fma.f64 x 3/25 -253/1000)))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3/25 -253/1000) 2))) (/.f64 (*.f64 9/625 (*.f64 x x)) (cbrt.f64 (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (/.f64 (*.f64 9/625 (*.f64 x x)) (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 9/625 (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 81/390625 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 3/25) 1) (/.f64 (*.f64 x 3/25) (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 9/625 x) 1) (/.f64 x (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 9/625 (cbrt.f64 (pow.f64 (fma.f64 x 3/25 -253/1000) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/25 -253/1000) 2))) (/.f64 9/625 (cbrt.f64 (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (cbrt.f64 (*.f64 81/390625 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (fma.f64 x 3/25 -253/1000) 2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) (cbrt.f64 (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (*.f64 x 3/25) (cbrt.f64 (pow.f64 (fma.f64 x 3/25 -253/1000) 2))) (/.f64 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((#(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 (fma.f64 x 3/25 253/1000)) x)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 3/25 253/1000)) x))))))) (#(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 9/625 (*.f64 x x) -64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000)) (fma.f64 x 3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000))) (neg.f64 (fma.f64 x 3/25 -253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000)) 1) (fma.f64 x 3/25 -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (fma.f64 9/625 (*.f64 x x) -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 9/625 (*.f64 x x) -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 9/625 (*.f64 x x) -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 9/625 (*.f64 x x) -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 pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 3/25 253/1000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x 3/25 253/1000) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 3/25 -253/1000) (*.f64 x (fma.f64 9/625 (*.f64 x x) -64009/1000000))) -1)))) (#(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 (fma.f64 x 3/25 253/1000)) x))))) (#(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))))))

simplify198.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
538×	`associate-l_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	189
1	22	171
2	36	144
3	62	144
4	154	144
5	476	144
6	1735	144
7	2973	144
8	3177	144
9	3390	144
10	3610	144
11	3920	144
12	4324	144
13	4837	144
14	5403	144
15	6091	144
16	6926	144
17	7318	144
18	7608	144
19	7886	144
20	7956	144
21	7992	144

Stop Event

1×	node limit

Counts

251 → 235

Calls

Call 1

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

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 27/15625 (pow.f64 x 3))
	0.3b	(*.f64 759/25000 x)
	0.4b	(.f64 9/625 (.f64 x x))
✓	8.5b	(/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x))))

Compiler

Compiled 108 to 76 computations (29.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(/.f64 (*.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))))

1.0ms

(/.f64 (*.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))))

1.0ms

inf

(/.f64 (*.f64 (+.f64 16194277/1000000000 (*.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (*.f64 9/625 (*.f64 x x)) (*.f64 759/25000 x))))

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`fma-def_binary64`
360×	`fma-neg_binary64`
330×	`expm1-udef_binary64`
330×	`log1p-udef_binary64`
201×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	427	26
2	5616	22

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (*.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) 1) (/.f64 x (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) 1) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 2))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (cbrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 2)) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) (sqrt.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (+.f64 262254607552729/1000000000000000000 (pow.f64 (*.f64 x (fma.f64 x 9/625 -759/25000)) 3))) (fma.f64 (*.f64 x (fma.f64 x 9/625 -759/25000)) (fma.f64 x (fma.f64 x 9/625 -759/25000) -64009/1000000) 4097152081/1000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (-.f64 4097152081/1000000000000 (pow.f64 (*.f64 x (fma.f64 x 9/625 -759/25000)) 2))) (-.f64 64009/1000000 (*.f64 x (fma.f64 x 9/625 -759/25000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) (neg.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000)) 3) (pow.f64 (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 27/15625 (pow.f64 x 3) 16194277/1000000000) (fma.f64 x (fma.f64 x 9/625 -759/25000) 64009/1000000)) x)) 1))))))

simplify187.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
529×	`associate-l_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	18	117
2	32	108
3	68	90
4	168	90
5	480	90
6	1702	90
7	2955	90
8	3159	90
9	3372	90
10	3592	90
11	3905	90
12	4307	90
13	4820	90
14	5388	90
15	6070	90
16	6905	90
17	7299	90
18	7587	90
19	7863	90
20	7939	90
21	7975	90

Stop Event

1×	node limit

Counts

57 → 50

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)))

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))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x -3/25)
✓	0.2b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x -3/25)) 3))
✓	0.6b	(cbrt.f64 (*.f64 x -3/25))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 x -3/25)) 3)

Compiler

Compiled 25 to 19 computations (24% saved)

series15.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 x (pow.f64 (cbrt.f64 (.f64 x -3/25)) 3))
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x -3/25)) 3)
2.0ms	x	@	-inf	(.f64 x (pow.f64 (cbrt.f64 (.f64 x -3/25)) 3))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x -3/25)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 x -3/25)) 3)

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	170	17
2	1663	17

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs

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

simplify174.0ms (2.3%)

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

72 → 62

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))

eval598.0ms (7.9%)

Compiler: Compiled 15457 to 12043 computations (22.1% saved)

prune80.0ms (1.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	552	6	558
Fresh	4	1	5
Picked	0	1	1
Done	1	7	8
Total	557	15	572

Error

Counts

572 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.9b	(-.f64 1 (/.f64 (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (.f64 x x) 64009/1000000)) (.f64 x (-.f64 (*.f64 3/25 x) 253/1000))))
▶	2.7b	(-.f64 1 (.f64 x (.f64 x 3/25)))
✓	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
✓	2.9b	(-.f64 1 (.f64 3/25 (.f64 x x)))
▶	8.9b	(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000)))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
	25.7b	1
✓	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
▶	0.2b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	39.7b	(.f64 x (.f64 x -3/25))
▶	61.4b	(*.f64 -253/1000 x)
✓	24.5b	(-.f64 1 (*.f64 x 253/1000))
✓	40.0b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x -3/25)) 3))
	0.5b	(-.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 3/25 253/1000))))
✓	0.3b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))

Compiler

Compiled 265 to 204 computations (23% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 56 computations (25.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite116.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log-prod_binary64`
331×	`fma-def_binary64`
326×	`pow2_binary64`
316×	`prod-diff_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	276	16
2	3641	16

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

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

Outputs

((#(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 (fma.f64 x 3/25 253/1000) (fma.f64 (neg.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))) (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000)) (neg.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(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 (*.f64 x (*.f64 x 9/625)) (/.f64 1 (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) 2) (cbrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000))) 64009/1000000 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) (sqrt.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x 3/25 -253/1000))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 x 3/25 -253/1000)) 64009/1000000))) (fma.f64 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-253/1000))) (/.f64 (*.f64 x 3/25) (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (neg.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 27/15625 (pow.f64 x 3) -16194277/1000000000)) (fma.f64 x (*.f64 x 9/625) (fma.f64 x 759/25000 64009/1000000)) (neg.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x 9/625)) (fma.f64 x (*.f64 x 9/625) -64009/1000000)) (fma.f64 x 3/25 253/1000) (neg.f64 (/.f64 64009/1000000 (fma.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 +.f64 0 (*.f64 x 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/625) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/625) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 9/625))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9/625) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 81/390625) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9/625) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9/625)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/25 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 81/390625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/625) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9/625) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9/625)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9/625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/625))) 2)) (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 x (*.f64 x 9/625)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 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 (*.f64 (pow.f64 (*.f64 x x) 2) 81/390625) 1/2)))) (#(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 (*.f64 x x) 2) 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 x (*.f64 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 x (*.f64 x 9/625))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 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))))))

simplify182.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
560×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`
516×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	204
1	20	186
2	31	186
3	54	186
4	129	186
5	408	186
6	1485	186
7	2382	186
8	2546	186
9	2759	186
10	2979	186
11	3285	186
12	3687	186
13	4180	186
14	4746	186
15	5430	186
16	6269	186
17	6661	186
18	6949	186
19	7227	186
20	7299	186
21	7335	186

Stop Event

1×	node limit

Counts

267 → 238

Calls

Call 1

Inputs
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 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.f64 9/625 x)
(*.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))

Outputs
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)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 x)
(*.f64 x 9/625)
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))
(*.f64 9/625 (pow.f64 x 2))
(.f64 9/625 (.f64 x x))
(.f64 x (.f64 x 9/625))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -253/1000 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite44.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -253/1000 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -253/1000 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -253/2000)) (log.f64 (pow.f64 (exp.f64 x) -253/2000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/500))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -253/1000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -253/1000 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) (+.f64 1 (*.f64 -253/1000 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) (+.f64 1 (*.f64 -253/1000 x))) 1) (+.f64 (+.f64 1 (*.f64 -253/1000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -253/1000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -253/1000 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -16194277/1000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -253/1000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -253/1000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -253/1000 x)))) (sqrt.f64 (log.f64 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -253/1000 x))) 2)) (cbrt.f64 (log.f64 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -253/1000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -16194277/1000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -253/1000 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -253/1000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -253/1000 x))) 2))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (-.f64 (.f64 3/25 x) 253/1000))
✓	0.2b	(*.f64 3/25 x)
✓	0.5b	(.f64 (.f64 x x) 64009/1000000)
✓	23.9b	(/.f64 (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (.f64 x x) 64009/1000000)) (.f64 x (-.f64 (*.f64 3/25 x) 253/1000)))

Compiler

Compiled 90 to 62 computations (31.1% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`log-prod_binary64`
551×	`fma-def_binary64`
305×	`fma-neg_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	373	43
2	4982	43

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 9/625 x) (/.f64 (pow.f64 x 4) (fma.f64 x 3/25 -253/1000))) (neg.f64 (.f64 (/.f64 x x) (/.f64 (.f64 x 64009/1000000) (fma.f64 x 3/25 -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) -64009/1000000)) (.f64 x (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) -64009/1000000)) (.f64 x (fma.f64 x 3/25 -253/1000))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) -64009/1000000)) (.f64 x (fma.f64 x 3/25 -253/1000))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) -64009/1000000)) (.f64 x (fma.f64 x 3/25 -253/1000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) -64009/1000000)) (.f64 x (fma.f64 x 3/25 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4))) (sqrt.f64 (.f64 x (fma.f64 x 3/25 -253/1000)))) (neg.f64 (.f64 (/.f64 x x) (/.f64 (.f64 x 64009/1000000) (fma.f64 x 3/25 -253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 (.f64 x x) 3/25) (sqrt.f64 (.f64 x (fma.f64 x 3/25 -253/1000)))) (/.f64 (.f64 (.f64 x x) 3/25) (sqrt.f64 (.f64 x (fma.f64 x 3/25 -253/1000)))) (neg.f64 (.f64 (/.f64 x x) (/.f64 (.f64 x 64009/1000000) (fma.f64 x 3/25 -253/1000)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 64009/1000000))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 64009/1000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 64009/1000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 64009/1000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 64009/1000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 64009/1000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 253/1000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 262254607552729/1000000000000000000 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 4097152081/1000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 64009/1000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 262254607552729/1000000000000000000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 64009/1000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 64009/1000000)) 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 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 (.f64 (pow.f64 x 3) 27/15625) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (.f64 x 3/25))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 27/15625))))) (#(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 0 (.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 (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 (.f64 (fma.f64 (pow.f64 x 3) 27/15625 -16194277/1000000000) x) (fma.f64 9/625 (.f64 x x) (fma.f64 x 759/25000 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 9/625 (.f64 x x) -64009/1000000) x) (fma.f64 x 3/25 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (pow.f64 x 3) 27/15625 -16194277/1000000000)) (fma.f64 9/625 (.f64 x x) (fma.f64 x 759/25000 64009/1000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (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 (.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))))) (#(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 (.f64 x 3/25) x (*.f64 -253/1000 x))))))

simplify188.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
635×	`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	48	300
3	109	264
4	283	264
5	830	264
6	1263	264
7	1727	264
8	1835	264
9	1970	264
10	2139	264
11	2384	264
12	2697	264
13	3067	264
14	3526	264
15	4111	264
16	4817	264
17	5677	264
18	6099	264
19	6413	264
20	6719	264
21	6801	264
22	6837	264

Stop Event

1×	node limit

Counts

169 → 144

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

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 3/25 x)
✓	0.3b	(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000))))
	0.5b	(.f64 (.f64 x x) 64009/1000000)
✓	23.8b	(/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000)))

Compiler

Compiled 113 to 79 computations (30.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000)))
0.0ms	x	@	0	(/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000)))
0.0ms	x	@	-inf	(/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000)))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000))))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000))))

rewrite107.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`log-prod_binary64`
585×	`fma-def_binary64`
322×	`expm1-udef_binary64`
322×	`log1p-udef_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	411	48
2	5244	48

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

Inputs

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

(/.f64 1 (/.f64 (*.f64 x (-.f64 (*.f64 3/25 x) 253/1000)) (-.f64 (*.f64 9/625 (pow.f64 x 4)) (*.f64 (*.f64 x x) 64009/1000000))))

Outputs

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-l_binary64`
591×	`times-frac_binary64`
577×	`fma-def_binary64`
482×	`associate-r_binary64`
371×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	325
1	122	321
2	274	312
3	671	291
4	2032	291

Stop Event

1×	node limit

Counts

185 → 182

Calls

Call 1

Inputs
(/.f64 1000/253 x)
(-.f64 (*.f64 1000/253 (/.f64 1 x)) 120000/64009)
(-.f64 (+.f64 (.f64 1000/253 (/.f64 1 x)) (.f64 14400000/16194277 x)) 120000/64009)
(-.f64 (+.f64 (.f64 -1728000000/4097152081 (pow.f64 x 2)) (+.f64 (.f64 1000/253 (/.f64 1 x)) (*.f64 14400000/16194277 x))) 120000/64009)
(/.f64 25/3 (pow.f64 x 2))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(/.f64 25/3 (pow.f64 x 2))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(*.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 1000/253 x)
(-.f64 (*.f64 1000/253 (/.f64 1 x)) 120000/64009)
(+.f64 (/.f64 1000/253 x) -120000/64009)
(-.f64 (+.f64 (.f64 1000/253 (/.f64 1 x)) (.f64 14400000/16194277 x)) 120000/64009)
(+.f64 (/.f64 1000/253 x) (-.f64 (*.f64 x 14400000/16194277) 120000/64009))
(+.f64 (/.f64 1000/253 x) (fma.f64 x 14400000/16194277 -120000/64009))
(+.f64 (fma.f64 x 14400000/16194277 (/.f64 1000/253 x)) -120000/64009)
(-.f64 (+.f64 (.f64 -1728000000/4097152081 (pow.f64 x 2)) (+.f64 (.f64 1000/253 (/.f64 1 x)) (*.f64 14400000/16194277 x))) 120000/64009)
(+.f64 (fma.f64 -1728000000/4097152081 (.f64 x x) (+.f64 (/.f64 1000/253 x) (.f64 x 14400000/16194277))) -120000/64009)
(+.f64 (fma.f64 -1728000000/4097152081 (*.f64 x x) (/.f64 1000/253 x)) (fma.f64 x 14400000/16194277 -120000/64009))
(+.f64 (fma.f64 x 14400000/16194277 (/.f64 1000/253 x)) (fma.f64 x (*.f64 x -1728000000/4097152081) -120000/64009))
(+.f64 (/.f64 1000/253 x) (fma.f64 x (fma.f64 x -1728000000/4097152081 14400000/16194277) -120000/64009))
(/.f64 25/3 (pow.f64 x 2))
(/.f64 25/3 (*.f64 x x))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 1265/72 (pow.f64 x 3)))
(+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 64009/1728 (pow.f64 x 4))) (/.f64 1265/72 (pow.f64 x 3)))
(+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))) (/.f64 64009/1728 (pow.f64 x 4)))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -1265/72 (pow.f64 x 3))))
(-.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 64009/1728 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 64009/1728 (pow.f64 x 4))) (+.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 16194277/207360 (pow.f64 x 5))))
(+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 16194277/207360 (pow.f64 x 5))) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -16194277/207360 (pow.f64 x 5))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (/.f64 -1265/72 (pow.f64 x 3)) (/.f64 -16194277/207360 (pow.f64 x 5)))))
(/.f64 25/3 (pow.f64 x 2))
(/.f64 25/3 (*.f64 x x))
(-.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 1265/72 (pow.f64 x 3)))
(+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (*.f64 1265/72 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 64009/1728 (pow.f64 x 4))) (/.f64 1265/72 (pow.f64 x 3)))
(+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))) (/.f64 64009/1728 (pow.f64 x 4)))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -1265/72 (pow.f64 x 3))))
(-.f64 (/.f64 25/3 (*.f64 x x)) (-.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 64009/1728 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 25/3 (/.f64 1 (pow.f64 x 2))) (.f64 64009/1728 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 16194277/207360 (/.f64 1 (pow.f64 x 5))) (.f64 1265/72 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 64009/1728 (pow.f64 x 4))) (+.f64 (/.f64 1265/72 (pow.f64 x 3)) (/.f64 16194277/207360 (pow.f64 x 5))))
(+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 16194277/207360 (pow.f64 x 5))) (/.f64 -1265/72 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 25/3 (*.f64 x x)) (/.f64 -1265/72 (pow.f64 x 3))) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (/.f64 -16194277/207360 (pow.f64 x 5))))
(+.f64 (/.f64 25/3 (*.f64 x x)) (+.f64 (/.f64 64009/1728 (pow.f64 x 4)) (+.f64 (/.f64 -1265/72 (pow.f64 x 3)) (/.f64 -16194277/207360 (pow.f64 x 5)))))
(*.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 (+.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 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(.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 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(.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 (.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 (+.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 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(.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 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(.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 (.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 (+.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 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(.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 (.f64 x x) 3/25))
(fma.f64 x 253/1000 (.f64 (.f64 x x) 3/25))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))

eval794.0ms (10.5%)

Compiler: Compiled 21714 to 16609 computations (23.5% saved)

prune151.0ms (2%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	659	1	660
Fresh	0	2	2
Picked	1	0	1
Done	0	12	12
Total	660	15	675

Error

Counts

675 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.9b	(-.f64 1 (/.f64 (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (.f64 x x) 64009/1000000)) (.f64 x (-.f64 (*.f64 3/25 x) 253/1000))))
✓	2.7b	(-.f64 1 (.f64 x (.f64 x 3/25)))
✓	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
✓	2.9b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	25.7b	1
✓	0.4b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	40.0b	(.f64 x (pow.f64 (cbrt.f64 (.f64 x -3/25)) 3))
	3.0b	(-.f64 1 (/.f64 1 (/.f64 25/3 (*.f64 x x))))
✓	0.2b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	39.7b	(.f64 x (.f64 x -3/25))
✓	61.4b	(*.f64 -253/1000 x)
✓	24.5b	(-.f64 1 (*.f64 x 253/1000))
	0.5b	(-.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 3/25 253/1000))))
✓	0.3b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))

Compiler

Compiled 160 to 123 computations (23.1% saved)

regimes172.0ms (2.3%)

Counts

27 → 1

Calls

Call 1

Inputs
1
1
(*.f64 -253/1000 x)
(-.f64 1 (*.f64 x 253/1000))
(-.f64 1 (*.f64 x 253/1000))
(.f64 x (.f64 x -3/25))
(-.f64 1 (.f64 x (.f64 x 3/25)))
(-.f64 1 (.f64 x (.f64 x 3/25)))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(-.f64 1 (/.f64 1 (/.f64 25/3 (*.f64 x x))))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.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 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
(-.f64 1 (/.f64 (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (.f64 x x) 64009/1000000)) (.f64 x (-.f64 (*.f64 3/25 x) 253/1000))))
(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000)))))
(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))
(-.f64 1 (.f64 x (/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (*.f64 759/25000 x))))))
(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x 3/25) 253/1000)) (-.f64 (pow.f64 (.f64 x (.f64 x 3/25)) 2) (.f64 (.f64 x x) 64009/1000000)))))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(.f64 x (pow.f64 (cbrt.f64 (.f64 x -3/25)) 3))
(-.f64 1 (.f64 x (+.f64 253/1000 (pow.f64 (cbrt.f64 (.f64 x 3/25)) 3))))
(-.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 x 3/25 253/1000))))

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

Calls

5 calls:

26.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
25.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
25.0ms	x
19.0ms	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
19.0ms	(-.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 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`
0.1b	1	`(.f64 x (+.f64 253/1000 (.f64 x 3/25)))`

Compiler

Compiled 363 to 267 computations (26.4% saved)

regimes75.0ms (1%)

Counts

23 → 1

Calls

Call 1

Inputs
1
1
(*.f64 -253/1000 x)
(-.f64 1 (*.f64 x 253/1000))
(-.f64 1 (*.f64 x 253/1000))
(.f64 x (.f64 x -3/25))
(-.f64 1 (.f64 x (.f64 x 3/25)))
(-.f64 1 (.f64 x (.f64 x 3/25)))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(-.f64 1 (/.f64 1 (/.f64 25/3 (*.f64 x x))))
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.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 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))
(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
(-.f64 1 (/.f64 (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (.f64 x x) 64009/1000000)) (.f64 x (-.f64 (*.f64 3/25 x) 253/1000))))
(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 3/25 x) 253/1000)) (-.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 (*.f64 x x) 64009/1000000)))))
(-.f64 1 (/.f64 (.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) x) (+.f64 64009/1000000 (-.f64 (.f64 9/625 (.f64 x x)) (*.f64 759/25000 x)))))
(-.f64 1 (.f64 x (/.f64 (+.f64 16194277/1000000000 (.f64 27/15625 (pow.f64 x 3))) (+.f64 (.f64 9/625 (.f64 x x)) (-.f64 64009/1000000 (*.f64 759/25000 x))))))
(-.f64 1 (/.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x 3/25) 253/1000)) (-.f64 (pow.f64 (.f64 x (.f64 x 3/25)) 2) (.f64 (.f64 x x) 64009/1000000)))))

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

Calls

3 calls:

22.0ms	x
22.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
17.0ms	(-.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 304 to 222 computations (27% saved)

regimes17.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
2.7b	1	`x`

Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes31.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

28.0ms

Results

Error	Segments	Branch
2.2b	3	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch61.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	3.989449587946897e-6	54.046873490728544
32.0ms	-23.703143750732394	-0.11036669577175189

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes13.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
24.5b	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -36.5b remaining (-141.7%)

Threshold costs -36.5b (-141.7%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
25.7b	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
10×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`distribute-rgt-neg-in_binary64`
6×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	73
1	48	73
2	75	73
3	94	73
4	103	73
5	105	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (.f64 x (.f64 x 3/25)))
(if (<=.f64 x -1667960458801683/70368744177664) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 1177477688701159/295147905179352825856) (-.f64 1 (.f64 x 253/1000)) (.f64 x (*.f64 x -3/25))))
(-.f64 1 (*.f64 x 253/1000))
1

Outputs
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(-.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 x (.f64 x 3/25)))
(if (<=.f64 x -1667960458801683/70368744177664) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 1177477688701159/295147905179352825856) (-.f64 1 (.f64 x 253/1000)) (.f64 x (*.f64 x -3/25))))
(-.f64 1 (*.f64 x 253/1000))
1

Compiler

Compiled 58 to 44 computations (24.1% saved)

soundness73.0ms (1%)

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

Compiler

Compiled 124 to 100 computations (19.4% saved)

end95.0ms (1.3%)

Compiler: Compiled 53 to 39 computations (26.4% saved)