Details

analyze5.0ms (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)

sample1.0s (20.2%)

Results

983.0ms	8256×	body	256	valid
1.0ms	7×	body	256	invalid

preprocess48.0ms (1%)

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)

simplify32.0ms (0.6%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 8 computations (20% saved)

localize24.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series8.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.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)

rewrite68.0ms (1.4%)

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)))))

simplify191.0ms (3.8%)

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)

eval25.0ms (0.5%)

Compiler: Compiled 1031 to 801 computations (22.3% saved)

prune18.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	9	77

Error

Counts

77 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
▶	5.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 9/625 (.f64 x x))) x) (+.f64 253/1000 (.f64 -3/25 x))))
▶	0.1b	(-.f64 1 (+.f64 (.f64 x (.f64 x 3/25)) (*.f64 x 253/1000)))
	1.7b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
▶	8.4b	(-.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)))))
	0.2b	(-.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 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2))))
▶	20.0b	(-.f64 1 (*.f64 x 253/1000))

Compiler

Compiled 246 to 194 computations (21.1% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
✓	0.1b	(*.f64 253/1000 x)
✓	0.2b	(*.f64 3/25 (pow.f64 x 2))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series4.0ms (0.1%)

Counts

3 → 3

Calls

9 calls:

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

rewrite73.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
853×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	197	22
2	2368	22

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

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

Outputs

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

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

simplify157.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	15	18
2	26	18
3	52	18
4	126	18
5	385	18
6	1433	18
7	2326	18
8	2490	18
9	2703	18
10	2923	18
11	3227	18
12	3629	18
13	4118	18
14	4686	18
15	5368	18
16	6205	18
17	6597	18
18	6889	18
19	7167	18
20	7235	18
21	7271	18

Stop Event

1×	node limit

Counts

62 → 62

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 x 253/1000)

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

Inputs
(*.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)

Outputs
(*.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)

localize16.0ms (0.3%)

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 (.f64 x 3/25))
	0.2b	(*.f64 x 3/25)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (1.7%)

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	17
1	176	15
2	2298	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

simplify176.0ms (3.5%)

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	201
1	18	201
2	32	192
3	69	174
4	168	174
5	495	174
6	1761	174
7	3001	174
8	3205	174
9	3418	174
10	3638	174
11	3946	174
12	4348	174
13	4857	174
14	5423	174
15	6111	174
16	6952	174
17	7346	174
18	7634	174
19	7910	174
20	7982	174

Stop Event

1×	node limit

Counts

77 → 59

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 (.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 (.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))

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9/625 (.f64 x x))
✓	0.2b	(*.f64 -3/25 x)
✓	0.3b	(.f64 (-.f64 64009/1000000 (.f64 9/625 (*.f64 x x))) x)
✓	4.8b	(/.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)

series8.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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 64009/1000000 (.f64 9/625 (*.f64 x x))) 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 9/625 (.f64 x x))

rewrite86.0ms (1.7%)

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

simplify120.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	318
1	39	318
2	78	309
3	187	291
4	525	291
5	1931	291
6	3266	291
7	3545	291
8	4118	291
9	5193	291
10	7176	291
11	7701	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 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)))
(*.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
(*.f64 253/1000 x)
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 3/25 (pow.f64 x 2))
(.f64 3/25 (.f64 x x))
(.f64 x (.f64 x 3/25))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(+.f64 (.f64 253/1000 x) (.f64 3/25 (pow.f64 x 2)))
(fma.f64 253/1000 x (.f64 3/25 (.f64 x x)))
(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
(*.f64 x (fma.f64 x 3/25 253/1000))
(*.f64 64009/1000000 x)
(*.f64 x 64009/1000000)
(+.f64 (.f64 64009/1000000 x) (.f64 -9/625 (pow.f64 x 3)))
(fma.f64 64009/1000000 x (*.f64 -9/625 (pow.f64 x 3)))
(fma.f64 x 64009/1000000 (*.f64 -9/625 (pow.f64 x 3)))
(.f64 x (fma.f64 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 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 -9/625 (.f64 x x) 64009/1000000))
(fma.f64 -9/625 (pow.f64 x 3) (*.f64 x 64009/1000000))
(.f64 x (fma.f64 x (.f64 x -9/625) 64009/1000000))
(*.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))

localize40.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 9/625 (.f64 x x))
✓	0.4b	(*.f64 27/15625 (pow.f64 x 3))
✓	0.4b	(*.f64 759/25000 x)
✓	8.0b	(/.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)

series8.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.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))))
2.0ms	x	@	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	x	@	-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))))
0.0ms	x	@	inf	(*.f64 27/15625 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 27/15625 (pow.f64 x 3))

rewrite90.0ms (1.8%)

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	42
1	427	37
2	5616	33

Stop Event

1×	node limit

Counts

3 → 71

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))))

(*.f64 759/25000 x)

(*.f64 27/15625 (pow.f64 x 3))

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))))))

((#(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 (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 (pow.f64 x 6) 729/244140625))))) (#(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 (log.f64 (*.f64 27/15625 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 27/15625 (pow.f64 x 3))) 1))))))

simplify184.0ms (3.7%)

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

83 → 76

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))

eval185.0ms (3.7%)

Compiler: Compiled 7490 to 5711 computations (23.8% saved)

prune62.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	398	3	401
Fresh	0	3	3
Picked	1	0	1
Done	3	2	5
Total	402	8	410

Error

Counts

410 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(-.f64 1 (*.f64 x 253/1000))
▶	1.7b	(-.f64 1 (.f64 x (.f64 x 3/25)))
▶	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
▶	1.7b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	0.2b	(-.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 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
▶	5.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))

Compiler

Compiled 184 to 143 computations (22.3% saved)

localize57.0ms (1.2%)

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)
✓	0.2b	(.f64 3/25 (.f64 x x))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 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	@	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 3/25 (.f64 x x))

rewrite62.0ms (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	18
1	175	17
2	2265	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

((#(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))))))

simplify178.0ms (3.6%)

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	201
1	18	201
2	32	192
3	69	174
4	168	174
5	495	174
6	1761	174
7	3001	174
8	3205	174
9	3418	174
10	3638	174
11	3946	174
12	4348	174
13	4857	174
14	5423	174
15	6111	174
16	6952	174
17	7346	174
18	7634	174
19	7910	174
20	7982	174

Stop Event

1×	node limit

Counts

75 → 57

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 (.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 (.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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 50 computations (33.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite130.0ms (2.6%)

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 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egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) 1) (/.f64 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 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 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 3/25) 1) (/.f64 (*.f64 x 3/25) (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 9/625 x) 1) (/.f64 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 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 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x 3/25) (cbrt.f64 (pow.f64 (fma.f64 x 3/25 -253/1000) 2))) (/.f64 (*.f64 x 3/25) (cbrt.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 9/625 x) (cbrt.f64 (pow.f64 (fma.f64 x 3/25 -253/1000) 2))) (/.f64 x (cbrt.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 9/625 (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (/.f64 (*.f64 x x) (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 x) (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (/.f64 9/625 (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 (cbrt.f64 (*.f64 81/390625 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) (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 3/25) (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (/.f64 (*.f64 x 3/25) (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (neg.f64 (/.f64 64009/1000000 (fma.f64 x 3/25 -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 9/625 x) (sqrt.f64 (fma.f64 x 3/25 -253/1000))) (/.f64 x (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 9/625 (*.f64 x x)) (fma.f64 27/15625 (pow.f64 x 3) -16194277/1000000000)) (fma.f64 9/625 (*.f64 x x) (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 9/625 (*.f64 x x)) (fma.f64 9/625 (*.f64 x x) -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 fma.f64 (*.f64 3/25 (sqrt.f64 x)) (sqrt.f64 x) 253/1000)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x 3/25 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (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))))))

simplify199.0ms (4%)

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))

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 9/625))
	0.2b	(*.f64 -3/25 x)
✓	0.3b	(.f64 (-.f64 64009/1000000 (.f64 x (*.f64 x 9/625))) x)
✓	4.8b	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 71 to 52 computations (26.8% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite75.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`log-prod_binary64`
465×	`prod-diff_binary64`
271×	`fma-def_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	295	30
2	3993	28

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

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

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

simplify122.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	318
1	39	318
2	78	309
3	187	291
4	525	291
5	1931	291
6	3266	291
7	3545	291
8	4118	291
9	5193	291
10	7176	291
11	7701	291

Stop Event

1×	node limit

Counts

128 → 104

Calls

Call 1

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

eval420.0ms (8.4%)

Compiler: Compiled 14573 to 11255 computations (22.8% saved)

prune74.0ms (1.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	507	1	508
Fresh	1	0	1
Picked	0	1	1
Done	0	6	6
Total	508	8	516

Error

Counts

516 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(-.f64 1 (*.f64 x 253/1000))
✓	1.7b	(-.f64 1 (.f64 x (.f64 x 3/25)))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
▶	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	1.7b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
✓	5.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))

Compiler

Compiled 98 to 76 computations (22.4% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 56 computations (25.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 x 9/625)
0.0ms	x	@	inf	(*.f64 x 9/625)
0.0ms	x	@	0	(*.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))

rewrite111.0ms (2.2%)

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	19
1	276	9
2	3641	9

Stop Event

1×	node limit

Counts

2 → 214

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)

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 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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 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/25)) 2) 2) (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 (*.f64 x 3/25) (cbrt.f64 (fma.f64 x 3/25 -253/1000))) 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((#(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))))))

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	120
1	11	102
2	13	102

Stop Event

1×

saturated

Counts

238 → 219

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)

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)

eval246.0ms (4.9%)

Compiler: Compiled 10023 to 8106 computations (19.1% saved)

prune38.0ms (0.8%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	249	8	257

Error

Counts

257 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(-.f64 1 (*.f64 x 253/1000))
✓	1.7b	(-.f64 1 (.f64 x (.f64 x 3/25)))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 9/625 (.f64 x x)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.1b	(-.f64 1 (.f64 x (/.f64 (-.f64 (.f64 x (.f64 x 9/625)) 64009/1000000) (-.f64 (.f64 x 3/25) 253/1000))))
✓	1.7b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.1b	(-.f64 1 (+.f64 (.f64 3/25 (.f64 x x)) (*.f64 x 253/1000)))
✓	5.1b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 x (.f64 x 9/625))) x) (+.f64 253/1000 (.f64 -3/25 x))))

Compiler

Compiled 98 to 76 computations (22.4% saved)

regimes27.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
7.0ms	x
5.0ms	(-.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 192 to 142 computations (26% saved)

regimes16.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
4.0ms	x
3.0ms	(-.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 49 to 37 computations (24.5% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.7b	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -18.6b remaining (-1090.9%)

Threshold costs -18.6b (-1090.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
1.7b	1	`x`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-commutative_binary64`
14×	`sub-neg_binary64`
11×	`distribute-rgt-neg-in_binary64`
9×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	48	56
2	89	56
3	117	56
4	130	56
5	133	56

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness209.0ms (4.2%)

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	201
1	18	201
2	32	192
3	69	174
4	168	174
5	495	174
6	1761	174
7	3001	174
8	3205	174
9	3418	174
10	3638	174
11	3946	174
12	4348	174
13	4857	174
14	5423	174
15	6111	174
16	6952	174
17	7346	174
18	7634	174
19	7910	174
20	7982	174

Stop Event

1×	node limit

Compiler

Compiled 12 to 9 computations (25% saved)

end41.0ms (0.8%)

Compiler: Compiled 40 to 29 computations (27.5% saved)

Details

analyze5.0ms (0.1%)

sample1.0s (20.2%)

preprocess48.0ms (1%)

simplify32.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize24.0ms (0.5%)

series8.0ms (0.2%)

rewrite68.0ms (1.4%)

simplify191.0ms (3.8%)

eval25.0ms (0.5%)

prune18.0ms (0.4%)

localize16.0ms (0.3%)

series4.0ms (0.1%)

rewrite73.0ms (1.5%)

simplify157.0ms (3.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite46.0ms (0.9%)

simplify8.0ms (0.2%)

localize16.0ms (0.3%)

series2.0ms (0%)

rewrite85.0ms (1.7%)

simplify176.0ms (3.5%)

localize27.0ms (0.5%)

series8.0ms (0.2%)

rewrite86.0ms (1.7%)

simplify120.0ms (2.4%)

localize40.0ms (0.8%)

series8.0ms (0.2%)

rewrite90.0ms (1.8%)

simplify184.0ms (3.7%)

eval185.0ms (3.7%)

prune62.0ms (1.2%)

localize57.0ms (1.2%)

series2.0ms (0%)

rewrite62.0ms (1.2%)

simplify178.0ms (3.6%)

localize7.0ms (0.1%)

localize9.0ms (0.2%)

localize27.0ms (0.5%)

series4.0ms (0.1%)

rewrite130.0ms (2.6%)

simplify199.0ms (4%)

localize30.0ms (0.6%)

series4.0ms (0.1%)

rewrite75.0ms (1.5%)

simplify122.0ms (2.4%)

eval420.0ms (8.4%)

prune74.0ms (1.5%)

localize30.0ms (0.6%)

series2.0ms (0%)

rewrite111.0ms (2.2%)

simplify15.0ms (0.3%)

eval246.0ms (4.9%)

prune38.0ms (0.8%)

regimes27.0ms (0.6%)

regimes16.0ms (0.3%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

simplify7.0ms (0.1%)

soundness209.0ms (4.2%)

end41.0ms (0.8%)

Profiling