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)

sample958.0ms (12.5%)

Results

945.0ms	8256×	body	256	valid
0.0ms	2×	body	256	invalid

preprocess54.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

271×	`fma-def_binary64`
256×	`fma-neg_binary64`
75×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	65	11
3	147	11
4	291	9
5	486	9
6	718	9
7	1049	9
8	1166	9
9	1185	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 (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

271×	`fma-def_binary64`
256×	`fma-neg_binary64`
75×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	25	11
2	65	11
3	147	11
4	291	9
5	486	9
6	718	9
7	1049	9
8	1166	9
9	1185	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 (neg.f64 (fma.f64 x 3/25 253/1000)) 1)
(fma.f64 x (+.f64 -253/1000 (*.f64 x -3/25)) 1)
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

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)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	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)
1.0ms	x	@	inf	(*.f64 x 3/25)

rewrite103.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	204	28
2	2716	28

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify161.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
640×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	365
1	40	333
2	69	304
3	129	282
4	306	282
5	826	282
6	1294	282
7	1760	282
8	1869	282
9	2002	282
10	2171	282
11	2416	282
12	2731	282
13	3103	282
14	3560	282
15	4143	282
16	4851	282
17	5711	282
18	6135	282
19	6451	282
20	6757	282
21	6837	282
22	6873	282

Stop Event

1×	node limit

Counts

231 → 201

Calls

Call 1

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

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

eval128.0ms (1.7%)

Compiler: Compiled 2796 to 2157 computations (22.9% saved)

prune36.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	188	13	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	14	202

Error

0.0b

Counts

202 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(-.f64 1 (fma.f64 (cbrt.f64 (.f64 (.f64 x x) 9/625)) (.f64 (cbrt.f64 (.f64 x 3/25)) x) (*.f64 x 253/1000)))
▶	0.1b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25))))
	26.3b	1
▶	0.2b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))
	25.1b	(-.f64 1 (*.f64 253/1000 x))
▶	38.9b	(.f64 x (.f64 x -3/25))
▶	8.6b	(-.f64 1 (.f64 x (+.f64 253/1000 (cbrt.f64 (.f64 (pow.f64 x 3) 27/15625)))))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
	0.2b	(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
	33.1b	(-.f64 1 (fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 3/25)) (*.f64 x 253/1000)))
	22.0b	(-.f64 1 (pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/25 253/1000))) 2))
▶	2.6b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	18.1b	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))
	8.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))

Compiler

Compiled 370 to 284 computations (23.2% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`pow1_binary64`
845×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	176	21
2	2301	21

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

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

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

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

simplify169.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

803×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
558×	`fabs-mul_binary64`
541×	`pow-sqr_binary64`
540×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	249
1	18	249
2	32	240
3	69	222
4	166	222
5	472	222
6	1681	222
7	2943	222
8	3147	222
9	3360	222
10	3580	222
11	3885	222
12	4287	222
13	4795	222
14	5354	222
15	6040	222
16	6879	222
17	7271	222
18	7557	222
19	7833	222
20	7907	222
21	7943	222

Stop Event

1×	node limit

Counts

100 → 70

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	105	132
5	315	132
6	1204	132
7	2080	132
8	2244	132
9	2428	132
10	2636	132
11	2925	132
12	3318	132
13	3796	132
14	4359	132
15	5045	132
16	5882	132
17	6274	132
18	6562	132
19	6842	132
20	6914	132
21	6948	132
22	7889	132

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 3/25 (.f64 x x))
	0.0b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.0b	(-.f64 1 (.f64 3/25 (.f64 x x)))
✓	0.2b	(.f64 3/25 (.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary64`
646×	`add-log-exp_binary64`
645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
634×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	1794	17

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 3/25 (*.f64 x x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 27/15625 (pow.f64 (*.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 (*.f64 27/15625 (pow.f64 (*.f64 x x) 3)))))) (#(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 expm1.f64 (log1p.f64 (*.f64 3/25 (*.f64 x x))))))))

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

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
634×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	171
1	20	171
2	34	171
3	68	171
4	166	171
5	520	171
6	722	171
7	1136	171
8	1236	171
9	1371	171
10	1540	171
11	1781	171
12	2096	171
13	2468	171
14	2925	171
15	3502	171
16	4208	171
17	5068	171
18	5492	171
19	5810	171
20	6116	171
21	6194	171
22	6228	171

Stop Event

1×	node limit

Counts

63 → 46

Calls

Call 1

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

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

localize39.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x))))
	0.0b	(-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))
	0.0b	(+.f64 253/1000 (*.f64 -3/25 x))
	0.0b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))
✓	0.1b	(.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x))))
✓	0.2b	(.f64 (.f64 x x) 9/625)
✓	0.2b	(/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (*.f64 -3/25 x)))
✓	0.2b	(*.f64 -3/25 x)

Compiler

Compiled 75 to 50 computations (33.3% saved)

series5.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite179.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	299	24
2	4206	24

Stop Event

1×	node limit

Counts

4 → 249

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -3/25 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 -3/25 x))) (cbrt.f64 (exp.f64 (.f64 -3/25 x))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 -3/25 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 -3/25 x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 -3/25 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -3/25 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -3/25 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) 9/625) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -3/25 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -3/25 x)) 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 (.f64 x x) 9/625))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 -3/25 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -3/25 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -27/15625 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -3/25 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -3/25 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -3/25 x)))))))
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simplify153.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
633×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	273
1	25	255
2	43	228
3	79	228
4	211	228
5	626	228
6	943	228
7	1382	228
8	1486	228
9	1619	228
10	1788	228
11	2031	228
12	2344	228
13	2714	228
14	3170	228
15	3753	228
16	4459	228
17	5319	228
18	5743	228
19	6057	228
20	6365	228
21	6441	228
22	6477	228

Stop Event

1×	node limit

Counts

285 → 259

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

localize29.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (pow.f64 x 3) 27/15625)
	0.1b	(.f64 x (+.f64 253/1000 (cbrt.f64 (.f64 (pow.f64 x 3) 27/15625))))
	0.0b	(+.f64 253/1000 (cbrt.f64 (*.f64 (pow.f64 x 3) 27/15625)))
	0.0b	(-.f64 1 (.f64 x (+.f64 253/1000 (cbrt.f64 (.f64 (pow.f64 x 3) 27/15625)))))
✓	0.0b	(+.f64 253/1000 (cbrt.f64 (*.f64 (pow.f64 x 3) 27/15625)))
✓	0.1b	(.f64 x (+.f64 253/1000 (cbrt.f64 (.f64 (pow.f64 x 3) 27/15625))))
✓	0.4b	(*.f64 (pow.f64 x 3) 27/15625)
✓	33.8b	(cbrt.f64 (*.f64 (pow.f64 x 3) 27/15625))

Compiler

Compiled 50 to 41 computations (18% saved)

series12.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (pow.f64 x 3) 27/15625)
2.0ms	x	@	0	(cbrt.f64 (*.f64 (pow.f64 x 3) 27/15625))
2.0ms	x	@	-inf	(cbrt.f64 (*.f64 (pow.f64 x 3) 27/15625))
1.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 27/15625)
1.0ms	x	@	-inf	(.f64 x (+.f64 253/1000 (cbrt.f64 (.f64 (pow.f64 x 3) 27/15625))))

rewrite121.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`log-prod_binary64`
386×	`prod-exp_binary64`
339×	`exp-prod_binary64`
302×	`pow-prod-down_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	226	30
2	2690	30

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (pow.f64 x 3) 27/15625))
(*.f64 (pow.f64 x 3) 27/15625)
(.f64 x (+.f64 253/1000 (cbrt.f64 (.f64 (pow.f64 x 3) 27/15625))))
(+.f64 253/1000 (cbrt.f64 (*.f64 (pow.f64 x 3) 27/15625)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (cbrt.f64 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 27/15625))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 27/15625)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 27/15625)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cbrt.f64 27/15625)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (cbrt.f64 27/15625)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (cbrt.f64 27/15625))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 27/15625)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (cbrt.f64 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 27/15625) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (cbrt.f64 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 27/15625))) (cbrt.f64 (.f64 (.f64 x x) (cbrt.f64 729/244140625))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 x x) (cbrt.f64 729/244140625))) (cbrt.f64 (.f64 x (cbrt.f64 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (cbrt.f64 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (cbrt.f64 27/15625))) (sqrt.f64 (.f64 x (cbrt.f64 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 27/15625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 27/15625)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 729/244140625 (pow.f64 x 6)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cbrt.f64 27/15625)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (cbrt.f64 729/244140625)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 27/15625))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 27/15625) (pow.f64 x 3/2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (cbrt.f64 27/15625))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x (cbrt.f64 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (.f64 (pow.f64 x 3) 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (cbrt.f64 27/15625)))) 2)) (cbrt.f64 (log.f64 (.f64 x (cbrt.f64 27/15625)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))))) (sqrt.f64 (log.f64 (.f64 x (cbrt.f64 27/15625)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) (cbrt.f64 729/244140625)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (cbrt.f64 27/15625)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (cbrt.f64 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (cbrt.f64 27/15625)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cbrt.f64 27/15625)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (cbrt.f64 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (cbrt.f64 27/15625)) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (cbrt.f64 27/15625))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) 27/15625))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 x 3) 27/15625))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 27/15625) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 27/15625)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 729/244140625 (pow.f64 x 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (cbrt.f64 27/15625)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (cbrt.f64 729/244140625)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 27/15625))) 9)))) (#(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 (sqrt.f64 (.f64 x (cbrt.f64 27/15625))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (pow.f64 x 3) 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 729/244140625 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 27/15625) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 x 3) 27/15625))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 27/15625)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 x 3) 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (cbrt.f64 27/15625)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 27/15625) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1/3) (.f64 2 (log.f64 (.f64 x (cbrt.f64 27/15625))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 1) (.f64 2 (log.f64 (.f64 x (cbrt.f64 27/15625))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 (.f64 x (cbrt.f64 27/15625)))) (.f64 (log.f64 (.f64 (pow.f64 x 3) 27/15625)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 (.f64 x (cbrt.f64 27/15625)))) (.f64 (log.f64 (.f64 x (cbrt.f64 27/15625))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 x 3) 27/15625)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 253/1000) (.f64 (.f64 x x) (cbrt.f64 27/15625)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (cbrt.f64 27/15625)) (.f64 x 253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x (cbrt.f64 27/15625) 253/1000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 253/1000) 1) (.f64 (.f64 (.f64 x x) (cbrt.f64 27/15625)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (cbrt.f64 27/15625) 253/1000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (cbrt.f64 27/15625) 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (cbrt.f64 27/15625) 253/1000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (cbrt.f64 27/15625) 253/1000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (cbrt.f64 27/15625) 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#<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (cbrt.f64 27/15625) 253/1000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (cbrt.f64 27/15625) 253/1000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (cbrt.f64 27/15625) 253/1000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (cbrt.f64 27/15625) 253/1000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (cbrt.f64 27/15625) 253/1000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (cbrt.f64 27/15625) 253/1000)))))))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-def_binary64`
465×	`fma-neg_binary64`
436×	`distribute-rgt-neg-in_binary64`
375×	`distribute-lft-neg-in_binary64`
370×	`neg-sub0_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	24	413
1	56	395
2	121	368
3	248	368
4	688	368
5	1300	368
6	2302	368
7	3210	368
8	5284	368
9	7023	344

Stop Event

1×	node limit

Counts

234 → 203

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 253/1000 x)
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(*.f64 (cbrt.f64 27/15625) (pow.f64 x 2))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(.f64 -1 (.f64 (pow.f64 x 2) (cbrt.f64 -27/15625)))
(+.f64 (.f64 253/1000 x) (.f64 -1 (*.f64 (pow.f64 x 2) (cbrt.f64 -27/15625))))
(+.f64 (.f64 253/1000 x) (.f64 -1 (*.f64 (pow.f64 x 2) (cbrt.f64 -27/15625))))
(+.f64 (.f64 253/1000 x) (.f64 -1 (*.f64 (pow.f64 x 2) (cbrt.f64 -27/15625))))
253/1000
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(*.f64 (cbrt.f64 27/15625) x)
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(+.f64 253/1000 (.f64 -1 (.f64 x (cbrt.f64 -27/15625))))
(+.f64 253/1000 (.f64 -1 (.f64 x (cbrt.f64 -27/15625))))
(+.f64 253/1000 (.f64 -1 (.f64 x (cbrt.f64 -27/15625))))

Outputs
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(*.f64 (cbrt.f64 27/15625) x)
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(neg.f64 (*.f64 x (cbrt.f64 -27/15625)))
(*.f64 x (neg.f64 (cbrt.f64 -27/15625)))
(*.f64 (cbrt.f64 -27/15625) (neg.f64 x))
(*.f64 x (cbrt.f64 -27/15625))
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(neg.f64 (*.f64 x (cbrt.f64 -27/15625)))
(*.f64 x (neg.f64 (cbrt.f64 -27/15625)))
(*.f64 (cbrt.f64 -27/15625) (neg.f64 x))
(*.f64 x (cbrt.f64 -27/15625))
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(neg.f64 (*.f64 x (cbrt.f64 -27/15625)))
(*.f64 x (neg.f64 (cbrt.f64 -27/15625)))
(*.f64 (cbrt.f64 -27/15625) (neg.f64 x))
(*.f64 x (cbrt.f64 -27/15625))
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(neg.f64 (*.f64 x (cbrt.f64 -27/15625)))
(*.f64 x (neg.f64 (cbrt.f64 -27/15625)))
(*.f64 (cbrt.f64 -27/15625) (neg.f64 x))
(*.f64 x (cbrt.f64 -27/15625))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 27/15625 (pow.f64 x 3))
(*.f64 253/1000 x)
(*.f64 x 253/1000)
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 (cbrt.f64 27/15625) (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 (cbrt.f64 27/15625) x 253/1000))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 (cbrt.f64 27/15625) (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 (cbrt.f64 27/15625) x 253/1000))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 (cbrt.f64 27/15625) (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 (cbrt.f64 27/15625) x 253/1000))
(*.f64 (cbrt.f64 27/15625) (pow.f64 x 2))
(.f64 (cbrt.f64 27/15625) (.f64 x x))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 (cbrt.f64 27/15625) (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 (cbrt.f64 27/15625) x 253/1000))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 (cbrt.f64 27/15625) (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 (cbrt.f64 27/15625) x 253/1000))
(+.f64 (.f64 (cbrt.f64 27/15625) (pow.f64 x 2)) (.f64 253/1000 x))
(fma.f64 (cbrt.f64 27/15625) (.f64 x x) (.f64 x 253/1000))
(*.f64 x (fma.f64 (cbrt.f64 27/15625) x 253/1000))
(.f64 -1 (.f64 (pow.f64 x 2) (cbrt.f64 -27/15625)))
(neg.f64 (.f64 (cbrt.f64 -27/15625) (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 (cbrt.f64 -27/15625)))
(.f64 x (.f64 (cbrt.f64 -27/15625) (neg.f64 x)))
(.f64 x (.f64 x (neg.f64 (cbrt.f64 -27/15625))))
(.f64 x (.f64 x (cbrt.f64 -27/15625)))
(+.f64 (.f64 253/1000 x) (.f64 -1 (*.f64 (pow.f64 x 2) (cbrt.f64 -27/15625))))
(fma.f64 253/1000 x (neg.f64 (.f64 (cbrt.f64 -27/15625) (.f64 x x))))
(fma.f64 x 253/1000 (.f64 (.f64 x x) (neg.f64 (cbrt.f64 -27/15625))))
(.f64 x (-.f64 253/1000 (.f64 x (cbrt.f64 -27/15625))))
(*.f64 x (fma.f64 (cbrt.f64 -27/15625) (neg.f64 x) 253/1000))
(*.f64 x (neg.f64 (fma.f64 x (cbrt.f64 -27/15625) -253/1000)))
(*.f64 x (fma.f64 x (cbrt.f64 -27/15625) -253/1000))
(+.f64 (.f64 253/1000 x) (.f64 -1 (*.f64 (pow.f64 x 2) (cbrt.f64 -27/15625))))
(fma.f64 253/1000 x (neg.f64 (.f64 (cbrt.f64 -27/15625) (.f64 x x))))
(fma.f64 x 253/1000 (.f64 (.f64 x x) (neg.f64 (cbrt.f64 -27/15625))))
(.f64 x (-.f64 253/1000 (.f64 x (cbrt.f64 -27/15625))))
(*.f64 x (fma.f64 (cbrt.f64 -27/15625) (neg.f64 x) 253/1000))
(*.f64 x (neg.f64 (fma.f64 x (cbrt.f64 -27/15625) -253/1000)))
(*.f64 x (fma.f64 x (cbrt.f64 -27/15625) -253/1000))
(+.f64 (.f64 253/1000 x) (.f64 -1 (*.f64 (pow.f64 x 2) (cbrt.f64 -27/15625))))
(fma.f64 253/1000 x (neg.f64 (.f64 (cbrt.f64 -27/15625) (.f64 x x))))
(fma.f64 x 253/1000 (.f64 (.f64 x x) (neg.f64 (cbrt.f64 -27/15625))))
(.f64 x (-.f64 253/1000 (.f64 x (cbrt.f64 -27/15625))))
(*.f64 x (fma.f64 (cbrt.f64 -27/15625) (neg.f64 x) 253/1000))
(*.f64 x (neg.f64 (fma.f64 x (cbrt.f64 -27/15625) -253/1000)))
(*.f64 x (fma.f64 x (cbrt.f64 -27/15625) -253/1000))
253/1000
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 (*.f64 (cbrt.f64 27/15625) x) 253/1000)
(fma.f64 (cbrt.f64 27/15625) x 253/1000)
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 (*.f64 (cbrt.f64 27/15625) x) 253/1000)
(fma.f64 (cbrt.f64 27/15625) x 253/1000)
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 (*.f64 (cbrt.f64 27/15625) x) 253/1000)
(fma.f64 (cbrt.f64 27/15625) x 253/1000)
(*.f64 (cbrt.f64 27/15625) x)
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 (*.f64 (cbrt.f64 27/15625) x) 253/1000)
(fma.f64 (cbrt.f64 27/15625) x 253/1000)
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 (*.f64 (cbrt.f64 27/15625) x) 253/1000)
(fma.f64 (cbrt.f64 27/15625) x 253/1000)
(+.f64 253/1000 (*.f64 (cbrt.f64 27/15625) x))
(+.f64 (*.f64 (cbrt.f64 27/15625) x) 253/1000)
(fma.f64 (cbrt.f64 27/15625) x 253/1000)
(.f64 -1 (.f64 x (cbrt.f64 -27/15625)))
(neg.f64 (*.f64 x (cbrt.f64 -27/15625)))
(*.f64 x (neg.f64 (cbrt.f64 -27/15625)))
(*.f64 (cbrt.f64 -27/15625) (neg.f64 x))
(*.f64 x (cbrt.f64 -27/15625))
(+.f64 253/1000 (.f64 -1 (.f64 x (cbrt.f64 -27/15625))))
(+.f64 (neg.f64 (*.f64 x (cbrt.f64 -27/15625))) 253/1000)
(-.f64 253/1000 (*.f64 x (cbrt.f64 -27/15625)))
(fma.f64 (cbrt.f64 -27/15625) (neg.f64 x) 253/1000)
(neg.f64 (fma.f64 x (cbrt.f64 -27/15625) -253/1000))
(fma.f64 x (cbrt.f64 -27/15625) 253/1000)
(+.f64 253/1000 (.f64 -1 (.f64 x (cbrt.f64 -27/15625))))
(+.f64 (neg.f64 (*.f64 x (cbrt.f64 -27/15625))) 253/1000)
(-.f64 253/1000 (*.f64 x (cbrt.f64 -27/15625)))
(fma.f64 (cbrt.f64 -27/15625) (neg.f64 x) 253/1000)
(neg.f64 (fma.f64 x (cbrt.f64 -27/15625) -253/1000))
(fma.f64 x (cbrt.f64 -27/15625) 253/1000)
(+.f64 253/1000 (.f64 -1 (.f64 x (cbrt.f64 -27/15625))))
(+.f64 (neg.f64 (*.f64 x (cbrt.f64 -27/15625))) 253/1000)
(-.f64 253/1000 (*.f64 x (cbrt.f64 -27/15625)))
(fma.f64 (cbrt.f64 -27/15625) (neg.f64 x) 253/1000)
(neg.f64 (fma.f64 x (cbrt.f64 -27/15625) -253/1000))
(fma.f64 x (cbrt.f64 -27/15625) 253/1000)

eval578.0ms (7.5%)

Compiler: Compiled 16603 to 12796 computations (22.9% saved)

prune106.0ms (1.4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	621	5	626
Fresh	5	3	8
Picked	1	0	1
Done	0	5	5
Total	627	13	640

Error

0.0b

Counts

640 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.1b	(-.f64 1 (*.f64 253/1000 x))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
▶	0.2b	(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
	33.1b	(-.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 (*.f64 x 3/25) 253/1000))))
▶	2.7b	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
▶	8.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
▶	15.6b	(/.f64 (-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (.f64 x x) -3/25))) (-.f64 1 (.f64 (*.f64 x x) -3/25)))
✓	38.9b	(.f64 x (.f64 x -3/25))
	26.3b	1
✓	0.1b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25))))
✓	2.6b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	18.1b	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))
✓	0.2b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))

Compiler

Compiled 298 to 225 computations (24.5% saved)

localize33.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x)))
	0.0b	(-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))
	0.0b	(+.f64 253/1000 (*.f64 -3/25 x))
	0.0b	(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
✓	0.1b	(.f64 x (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x)))))
	0.2b	(.f64 (.f64 x x) 9/625)
✓	0.2b	(.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (.f64 -3/25 x))))
	0.2b	(*.f64 -3/25 x)

Compiler

Compiled 88 to 62 computations (29.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`log-prod_binary64`
422×	`prod-diff_binary64`
262×	`fma-def_binary64`
242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	332	13
2	4331	13

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs

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

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

Outputs

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

simplify153.0ms (2%)

Algorithm

1×	egg-herbie

Rules

800×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
541×	`pow-sqr_binary64`
538×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	189
1	22	171
2	36	144
3	62	144
4	156	144
5	470	144
6	1667	144
7	2918	144
8	3122	144
9	3335	144
10	3555	144
11	3861	144
12	4261	144
13	4769	144
14	5330	144
15	6022	144
16	6855	144
17	7247	144
18	7539	144
19	7815	144
20	7887	144
21	7921	144

Stop Event

1×	node limit

Counts

128 → 112

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))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`pow1_binary64`
563×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
554×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	128	11
2	1515	11

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

51 → 43

Calls

Call 1

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

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

localize48.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x x) 9/625)
	0.0b	(-.f64 64009/1000000 (.f64 (.f64 x x) 9/625))
	0.0b	(+.f64 253/1000 (*.f64 -3/25 x))
	0.0b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
	0.2b	(.f64 (.f64 x x) 9/625)
	0.2b	(*.f64 -3/25 x)
✓	0.3b	(.f64 (-.f64 64009/1000000 (.f64 (*.f64 x x) 9/625)) x)
✓	7.8b	(/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x)))

Compiler

Compiled 71 to 46 computations (35.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	296	21
2	4009	19

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

969×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
500×	`*-commutative_binary64`
488×	`cube-prod_binary64`
463×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	234
1	36	234
2	71	225
3	173	207
4	441	207
5	1625	207
6	3200	207
7	3406	207
8	3657	207
9	3944	207
10	4323	207
11	4832	207
12	5455	207
13	6161	207
14	6632	207
15	6951	207
16	7223	207
17	7391	207
18	7481	207

Stop Event

1×	node limit

Counts

103 → 89

Calls

Call 1

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

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

localize43.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x x) -3/25)
	0.2b	(.f64 (.f64 (.f64 x x) -3/25) (.f64 (*.f64 x x) -3/25))
	0.0b	(-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (*.f64 x x) -3/25)))
	0.0b	(-.f64 1 (.f64 (.f64 x x) -3/25))
✓	0.0b	(-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (*.f64 x x) -3/25)))
✓	0.2b	(.f64 (.f64 (.f64 x x) -3/25) (.f64 (*.f64 x x) -3/25))
✓	0.2b	(.f64 (.f64 x x) -3/25)
✓	12.2b	(/.f64 (-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (.f64 x x) -3/25))) (-.f64 1 (.f64 (*.f64 x x) -3/25)))

Compiler

Compiled 64 to 34 computations (46.9% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (*.f64 x x) -3/25)))
1.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (.f64 x x) -3/25))) (-.f64 1 (.f64 (*.f64 x x) -3/25)))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (.f64 x x) -3/25))) (-.f64 1 (.f64 (*.f64 x x) -3/25)))
0.0ms	x	@	0	(.f64 (.f64 (.f64 x x) -3/25) (.f64 (*.f64 x x) -3/25))
0.0ms	x	@	inf	(.f64 (.f64 (.f64 x x) -3/25) (.f64 (*.f64 x x) -3/25))

rewrite114.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
315×	`fma-def_binary64`
304×	`pow-prod-down_binary64`
246×	`pow2_binary64`
212×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	231	34
2	3306	30

Stop Event

1×	node limit

Counts

4 → 307

Calls

Call 1

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

Outputs
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9/625 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 9/625 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 9/625 (pow.f64 x 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 9/625 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 x (.f64 x -3/25))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (.f64 9/625 (pow.f64 x 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (.f64 x (.f64 x -3/25))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 9/625 (pow.f64 x 4) 1)))))))

simplify180.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1095×	`sqr-pow_binary64`
702×	`pow-sqr_binary64`
573×	`associate-l_binary64`
496×	`cube-prod_binary64`
435×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	342
1	30	342
2	54	342
3	128	342
4	422	342
5	1671	342
6	2566	342
7	2690	342
8	2880	342
9	3091	342
10	3372	342
11	3739	342
12	4196	342
13	4720	342
14	5352	342
15	6105	342
16	6417	342
17	6643	342
18	6839	342
19	6895	342
20	6919	342
21	7753	342

Stop Event

1×	node limit

Counts

355 → 317

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(*.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 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
1
(+.f64 (*.f64 -9/625 (pow.f64 x 4)) 1)
(+.f64 (*.f64 -9/625 (pow.f64 x 4)) 1)
(+.f64 (*.f64 -9/625 (pow.f64 x 4)) 1)
(*.f64 -9/625 (pow.f64 x 4))
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(*.f64 -9/625 (pow.f64 x 4))
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))

Outputs
1
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(+.f64 (*.f64 -3/25 (pow.f64 x 2)) 1)
(fma.f64 -3/25 (*.f64 x x) 1)
(fma.f64 x (*.f64 -3/25 x) 1)
(*.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 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
(*.f64 9/625 (pow.f64 x 4))
1
(+.f64 (*.f64 -9/625 (pow.f64 x 4)) 1)
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(+.f64 (*.f64 -9/625 (pow.f64 x 4)) 1)
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(+.f64 (*.f64 -9/625 (pow.f64 x 4)) 1)
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(*.f64 -9/625 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9/625)
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(*.f64 -9/625 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -9/625)
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)
(+.f64 1 (*.f64 -9/625 (pow.f64 x 4)))
(fma.f64 -9/625 (pow.f64 x 4) 1)
(fma.f64 (pow.f64 x 4) -9/625 1)

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
	0.0b	(*.f64 x (sqrt.f64 3/25))
	0.0b	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
✓	0.0b	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
✓	0.0b	(*.f64 x (sqrt.f64 3/25))
✓	0.3b	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)

Compiler

Compiled 25 to 21 computations (16% saved)

series36.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
1.0ms	x	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 3/25)) 2)
0.0ms	x	@	0	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
0.0ms	x	@	inf	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))

rewrite174.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	191	23
2	2124	23

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

904×	`distribute-rgt-neg-in_binary64`
896×	`distribute-lft-neg-in_binary64`
617×	`unswap-sqr_binary64`
608×	`fma-neg_binary64`
570×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	398
1	29	243
2	66	243
3	199	243
4	841	243
5	1872	243
6	3565	243
7	5894	243

Stop Event

1×	node limit

Counts

101 → 72

Calls

Call 1

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

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

eval886.0ms (11.5%)

Compiler: Compiled 16014 to 11828 computations (26.1% saved)

prune260.0ms (3.4%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	801	4	805
Fresh	1	2	3
Picked	0	1	1
Done	0	9	9
Total	802	16	818

Error

Counts

818 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.1b	(-.f64 1 (*.f64 253/1000 x))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.2b	(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
	26.3b	1
▶	33.1b	(-.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 (*.f64 x 3/25) 253/1000))))
✓	2.7b	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
▶	61.4b	(*.f64 -253/1000 x)
✓	8.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	15.6b	(/.f64 (-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (.f64 x x) -3/25))) (-.f64 1 (.f64 (*.f64 x x) -3/25)))
✓	38.9b	(.f64 x (.f64 x -3/25))
▶	2.6b	(-.f64 1 (.f64 (sqrt.f64 3/25) (.f64 x (*.f64 x (sqrt.f64 3/25)))))
✓	0.1b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25))))
✓	2.6b	(-.f64 1 (.f64 3/25 (.f64 x x)))
▶	18.1b	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))
▶	38.9b	(.f64 -3/25 (.f64 x x))
✓	0.2b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))

Compiler

Compiled 267 to 202 computations (24.3% saved)

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 x (.f64 x (sqrt.f64 3/25)))
	0.2b	(.f64 (sqrt.f64 3/25) (.f64 x (*.f64 x (sqrt.f64 3/25))))
	0.0b	(*.f64 x (sqrt.f64 3/25))
	0.0b	(-.f64 1 (.f64 (sqrt.f64 3/25) (.f64 x (*.f64 x (sqrt.f64 3/25)))))
✓	0.0b	(-.f64 1 (.f64 (sqrt.f64 3/25) (.f64 x (*.f64 x (sqrt.f64 3/25)))))
	0.0b	(*.f64 x (sqrt.f64 3/25))
✓	0.2b	(.f64 (sqrt.f64 3/25) (.f64 x (*.f64 x (sqrt.f64 3/25))))
✓	0.2b	(.f64 x (.f64 x (sqrt.f64 3/25)))

Compiler

Compiled 36 to 28 computations (22.2% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite199.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`pow1_binary64`
803×	`add-log-exp_binary64`
803×	`log1p-expm1-u_binary64`
803×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	190	26
2	2252	26

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

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

Outputs

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

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

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

simplify160.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

844×	`unswap-sqr_binary64`
773×	`fma-neg_binary64`
733×	`distribute-rgt-neg-in_binary64`
726×	`distribute-lft-neg-in_binary64`
608×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	434
1	29	279
2	69	279
3	221	279
4	955	279
5	2130	279
6	4299	279
7	7116	279

Stop Event

1×	node limit

Counts

88 → 61

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite34.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -253/1000 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 -253/1000 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/500))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -253/1000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (+.f64 1 (*.f64 -253/1000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -253/1000 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) (+.f64 1 (*.f64 -253/1000 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -253/1000 x)) (+.f64 1 (*.f64 -253/1000 x))) 1) (+.f64 (+.f64 1 (*.f64 -253/1000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -253/1000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 64009/1000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -253/1000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -253/1000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -253/1000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -253/1000 x))) 2)) (cbrt.f64 (log.f64 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -253/1000 x)))) (sqrt.f64 (log.f64 (*.f64 -253/1000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 64009/1000000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 -253/1000 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -253/1000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -253/1000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -253/1000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -253/1000 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -253/1000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -253/1000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -253/1000 x)))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite33.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84
15	5078	84
16	5915	84
17	6307	84
18	6593	84
19	6867	84
20	6939	84
21	6975	84
22	7916	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 47 to 30 computations (36.2% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite161.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
454×	`prod-exp_binary64`
341×	`pow-prod-down_binary64`
335×	`exp-prod_binary64`
331×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	200	23
2	2566	23

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

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

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

814×	`unswap-sqr_binary64`
792×	`fma-neg_binary64`
599×	`distribute-rgt-neg-in_binary64`
514×	`distribute-lft-neg-in_binary64`
421×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	189
1	45	171
2	101	144
3	247	144
4	1072	144
5	2279	144
6	4368	144
7	6340	144

Stop Event

1×	node limit

Counts

200 → 187

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

localize49.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))
	0.1b	(fma.f64 x 3/25 253/1000)
	0.0b	(-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))
	0.0b	(+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))))
✓	0.1b	(*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))
✓	0.2b	(pow.f64 (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)
✓	0.3b	(pow.f64 (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2)
✓	17.8b	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))

Compiler

Compiled 116 to 80 computations (31% saved)

series13.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))
3.0ms	x	@	inf	(pow.f64 (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)
1.0ms	x	@	inf	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))
1.0ms	x	@	-inf	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))
0.0ms	x	@	0	(*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x))

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`log-prod_binary64`
673×	`fma-def_binary64`
379×	`fma-neg_binary64`
264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	375	70
2	4987	66

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

Outputs
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simplify136.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-def_binary64`
533×	`distribute-rgt-out_binary64`
500×	`distribute-lft-out_binary64`
492×	`unswap-sqr_binary64`
486×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	644
1	109	630
2	257	612
3	778	551
4	2744	547
5	5022	547
6	6425	547
7	6768	547
8	7052	547
9	7423	547
10	7911	547

Stop Event

1×	node limit

Counts

187 → 171

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(*.f64 64009/1000000 (pow.f64 x 2))
(+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (.f64 759/12500 (pow.f64 x 3)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(*.f64 9/625 (pow.f64 x 4))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 759/12500 (pow.f64 x 3)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(*.f64 9/625 (pow.f64 x 4))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 759/12500 (pow.f64 x 3)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(*.f64 -16194277/1000000000 (pow.f64 x 3))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (.f64 -16194277/1000000000 (pow.f64 x 3)))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (*.f64 -6831/625000 (pow.f64 x 5))))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (.f64 -6831/625000 (pow.f64 x 5)))))
(*.f64 -27/15625 (pow.f64 x 6))
(+.f64 (.f64 -27/15625 (pow.f64 x 6)) (.f64 -6831/625000 (pow.f64 x 5)))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (*.f64 -6831/625000 (pow.f64 x 5))))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (.f64 -6831/625000 (pow.f64 x 5)))))
(*.f64 -27/15625 (pow.f64 x 6))
(+.f64 (.f64 -27/15625 (pow.f64 x 6)) (.f64 -6831/625000 (pow.f64 x 5)))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (*.f64 -6831/625000 (pow.f64 x 5))))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (.f64 -6831/625000 (pow.f64 x 5)))))
(*.f64 -253/1000 x)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(*.f64 -3/25 (pow.f64 x 2))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))

Outputs
1
(+.f64 1 (*.f64 -253/1000 x))
(fma.f64 -253/1000 x 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(fma.f64 x (*.f64 x -3/25) (fma.f64 -253/1000 x 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(fma.f64 x (*.f64 x -3/25) (fma.f64 -253/1000 x 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(fma.f64 x (*.f64 x -3/25) (fma.f64 -253/1000 x 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(fma.f64 x (*.f64 x -3/25) (fma.f64 -253/1000 x 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(fma.f64 x (*.f64 x -3/25) (fma.f64 -253/1000 x 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (.f64 x x) (+.f64 1 (.f64 -253/1000 x)))
(fma.f64 -3/25 (*.f64 x x) (fma.f64 -253/1000 x 1))
(fma.f64 x (*.f64 x -3/25) (fma.f64 -253/1000 x 1))
(fma.f64 x (fma.f64 x -3/25 -253/1000) 1)
(*.f64 64009/1000000 (pow.f64 x 2))
(.f64 (.f64 x x) 64009/1000000)
(.f64 x (.f64 x 64009/1000000))
(+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (.f64 759/12500 (pow.f64 x 3)))
(fma.f64 64009/1000000 (.f64 x x) (.f64 759/12500 (pow.f64 x 3)))
(fma.f64 (.f64 x x) 64009/1000000 (.f64 759/12500 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 64009/1000000 (*.f64 x 759/12500)))
(.f64 (.f64 x x) (fma.f64 x 759/12500 64009/1000000))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 64009/1000000 (.f64 x x) (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 (.f64 x x) 64009/1000000 (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 64009/1000000 (*.f64 x 759/12500))))
(fma.f64 x (.f64 x (fma.f64 x 759/12500 64009/1000000)) (.f64 9/625 (pow.f64 x 4)))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 759/12500 64009/1000000)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 64009/1000000 (.f64 x x) (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 (.f64 x x) 64009/1000000 (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 64009/1000000 (*.f64 x 759/12500))))
(fma.f64 x (.f64 x (fma.f64 x 759/12500 64009/1000000)) (.f64 9/625 (pow.f64 x 4)))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 759/12500 64009/1000000)))
(*.f64 9/625 (pow.f64 x 4))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 759/12500 (pow.f64 x 3)))
(fma.f64 9/625 (pow.f64 x 4) (*.f64 759/12500 (pow.f64 x 3)))
(fma.f64 759/12500 (pow.f64 x 3) (*.f64 9/625 (pow.f64 x 4)))
(.f64 (pow.f64 x 3) (+.f64 759/12500 (.f64 x 9/625)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 64009/1000000 (.f64 x x) (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 (.f64 x x) 64009/1000000 (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 64009/1000000 (*.f64 x 759/12500))))
(fma.f64 x (.f64 x (fma.f64 x 759/12500 64009/1000000)) (.f64 9/625 (pow.f64 x 4)))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 759/12500 64009/1000000)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 64009/1000000 (.f64 x x) (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 (.f64 x x) 64009/1000000 (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 64009/1000000 (*.f64 x 759/12500))))
(fma.f64 x (.f64 x (fma.f64 x 759/12500 64009/1000000)) (.f64 9/625 (pow.f64 x 4)))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 759/12500 64009/1000000)))
(*.f64 9/625 (pow.f64 x 4))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (.f64 759/12500 (pow.f64 x 3)))
(fma.f64 9/625 (pow.f64 x 4) (*.f64 759/12500 (pow.f64 x 3)))
(fma.f64 759/12500 (pow.f64 x 3) (*.f64 9/625 (pow.f64 x 4)))
(.f64 (pow.f64 x 3) (+.f64 759/12500 (.f64 x 9/625)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 64009/1000000 (.f64 x x) (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 (.f64 x x) 64009/1000000 (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 64009/1000000 (*.f64 x 759/12500))))
(fma.f64 x (.f64 x (fma.f64 x 759/12500 64009/1000000)) (.f64 9/625 (pow.f64 x 4)))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 759/12500 64009/1000000)))
(+.f64 (.f64 9/625 (pow.f64 x 4)) (+.f64 (.f64 64009/1000000 (pow.f64 x 2)) (*.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 64009/1000000 (.f64 x x) (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (fma.f64 (.f64 x x) 64009/1000000 (.f64 759/12500 (pow.f64 x 3))))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 64009/1000000 (*.f64 x 759/12500))))
(fma.f64 x (.f64 x (fma.f64 x 759/12500 64009/1000000)) (.f64 9/625 (pow.f64 x 4)))
(fma.f64 9/625 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 759/12500 64009/1000000)))
(*.f64 -16194277/1000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -16194277/1000000000)
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (.f64 -16194277/1000000000 (pow.f64 x 3)))
(fma.f64 -576081/25000000 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -16194277/1000000000))
(fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 (pow.f64 x 4) -576081/25000000))
(.f64 (pow.f64 x 3) (+.f64 -16194277/1000000000 (.f64 x -576081/25000000)))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (*.f64 -6831/625000 (pow.f64 x 5))))
(fma.f64 -576081/25000000 (pow.f64 x 4) (fma.f64 -16194277/1000000000 (pow.f64 x 3) (*.f64 -6831/625000 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 -6831/625000 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) -16194277/1000000000 (fma.f64 -6831/625000 (pow.f64 x 5) (*.f64 (pow.f64 x 4) -576081/25000000)))
(fma.f64 -6831/625000 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 -16194277/1000000000 (.f64 x -576081/25000000))))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 -576081/25000000 (pow.f64 x 4) (fma.f64 -27/15625 (pow.f64 x 6) (fma.f64 -16194277/1000000000 (pow.f64 x 3) (*.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -27/15625 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 -27/15625 (pow.f64 x 6)))))
(fma.f64 -6831/625000 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (fma.f64 (pow.f64 x 3) -27/15625 -16194277/1000000000) (.f64 x -576081/25000000))))
(fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 -27/15625 (pow.f64 x 6) (.f64 (pow.f64 x 3) (+.f64 -16194277/1000000000 (.f64 x -576081/25000000)))))
(*.f64 -27/15625 (pow.f64 x 6))
(+.f64 (.f64 -27/15625 (pow.f64 x 6)) (.f64 -6831/625000 (pow.f64 x 5)))
(fma.f64 -27/15625 (pow.f64 x 6) (*.f64 -6831/625000 (pow.f64 x 5)))
(fma.f64 -6831/625000 (pow.f64 x 5) (*.f64 -27/15625 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 -6831/625000 (.f64 x -27/15625)))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (*.f64 -6831/625000 (pow.f64 x 5))))
(fma.f64 -576081/25000000 (pow.f64 x 4) (fma.f64 -27/15625 (pow.f64 x 6) (*.f64 -6831/625000 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -6831/625000 (pow.f64 x 5) (*.f64 -27/15625 (pow.f64 x 6))))
(fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 -27/15625 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -576081/25000000)))
(fma.f64 (pow.f64 x 4) -576081/25000000 (.f64 (pow.f64 x 5) (+.f64 -6831/625000 (.f64 x -27/15625))))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 -576081/25000000 (pow.f64 x 4) (fma.f64 -27/15625 (pow.f64 x 6) (fma.f64 -16194277/1000000000 (pow.f64 x 3) (*.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -27/15625 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 -27/15625 (pow.f64 x 6)))))
(fma.f64 -6831/625000 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (fma.f64 (pow.f64 x 3) -27/15625 -16194277/1000000000) (.f64 x -576081/25000000))))
(fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 -27/15625 (pow.f64 x 6) (.f64 (pow.f64 x 3) (+.f64 -16194277/1000000000 (.f64 x -576081/25000000)))))
(*.f64 -27/15625 (pow.f64 x 6))
(+.f64 (.f64 -27/15625 (pow.f64 x 6)) (.f64 -6831/625000 (pow.f64 x 5)))
(fma.f64 -27/15625 (pow.f64 x 6) (*.f64 -6831/625000 (pow.f64 x 5)))
(fma.f64 -6831/625000 (pow.f64 x 5) (*.f64 -27/15625 (pow.f64 x 6)))
(.f64 (pow.f64 x 5) (+.f64 -6831/625000 (.f64 x -27/15625)))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (*.f64 -6831/625000 (pow.f64 x 5))))
(fma.f64 -576081/25000000 (pow.f64 x 4) (fma.f64 -27/15625 (pow.f64 x 6) (*.f64 -6831/625000 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -6831/625000 (pow.f64 x 5) (*.f64 -27/15625 (pow.f64 x 6))))
(fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 -27/15625 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -576081/25000000)))
(fma.f64 (pow.f64 x 4) -576081/25000000 (.f64 (pow.f64 x 5) (+.f64 -6831/625000 (.f64 x -27/15625))))
(+.f64 (.f64 -576081/25000000 (pow.f64 x 4)) (+.f64 (.f64 -27/15625 (pow.f64 x 6)) (+.f64 (.f64 -16194277/1000000000 (pow.f64 x 3)) (.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 -576081/25000000 (pow.f64 x 4) (fma.f64 -27/15625 (pow.f64 x 6) (fma.f64 -16194277/1000000000 (pow.f64 x 3) (*.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -27/15625 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 -6831/625000 (pow.f64 x 5)))))
(fma.f64 (pow.f64 x 4) -576081/25000000 (fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -16194277/1000000000 (*.f64 -27/15625 (pow.f64 x 6)))))
(fma.f64 -6831/625000 (pow.f64 x 5) (.f64 (pow.f64 x 3) (+.f64 (fma.f64 (pow.f64 x 3) -27/15625 -16194277/1000000000) (.f64 x -576081/25000000))))
(fma.f64 -6831/625000 (pow.f64 x 5) (fma.f64 -27/15625 (pow.f64 x 6) (.f64 (pow.f64 x 3) (+.f64 -16194277/1000000000 (.f64 x -576081/25000000)))))
(*.f64 -253/1000 x)
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(*.f64 -3/25 (pow.f64 x 2))
(.f64 -3/25 (.f64 x x))
(.f64 x (.f64 x -3/25))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))
(+.f64 (.f64 -3/25 (pow.f64 x 2)) (.f64 -253/1000 x))
(fma.f64 -3/25 (.f64 x x) (.f64 -253/1000 x))
(fma.f64 -253/1000 x (.f64 x (.f64 x -3/25)))
(.f64 x (+.f64 (.f64 x -3/25) -253/1000))
(*.f64 x (fma.f64 x -3/25 -253/1000))

eval423.0ms (5.5%)

Compiler: Compiled 12646 to 9316 computations (26.3% saved)

prune74.0ms (1%)

Pruning

16 alts after pruning (3 fresh and 13 done)

	Pruned	Kept	Total
New	548	3	551
Fresh	1	0	1
Picked	1	0	1
Done	1	13	14
Total	551	16	567

Error

Counts

567 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.1b	(-.f64 1 (*.f64 253/1000 x))
✓	0.1b	(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
✓	0.2b	(-.f64 1 (.f64 x (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (/.f64 1 (+.f64 253/1000 (*.f64 -3/25 x))))))
✓	2.7b	(-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 3/25)) 2))
✓	61.4b	(*.f64 -253/1000 x)
✓	8.4b	(-.f64 1 (/.f64 (.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) x) (+.f64 253/1000 (.f64 -3/25 x))))
✓	15.6b	(/.f64 (-.f64 1 (.f64 (.f64 (.f64 x x) -3/25) (.f64 (.f64 x x) -3/25))) (-.f64 1 (.f64 (*.f64 x x) -3/25)))
✓	38.9b	(.f64 x (.f64 x -3/25))
✓	2.6b	(-.f64 1 (.f64 (sqrt.f64 3/25) (.f64 x (*.f64 x (sqrt.f64 3/25)))))
	26.3b	1
✓	0.1b	(-.f64 1 (+.f64 (.f64 x 253/1000) (.f64 x (*.f64 x 3/25))))
	18.1b	(/.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (.f64 x (.f64 3/25 x)) (.f64 x 253/1000)) 2) (*.f64 (fma.f64 x 3/25 253/1000) (neg.f64 x)))))
✓	2.6b	(-.f64 1 (.f64 3/25 (.f64 x x)))
	34.4b	(-.f64 1 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 3/25 x))))
✓	38.9b	(.f64 -3/25 (.f64 x x))
✓	0.2b	(-.f64 1 (.f64 x (/.f64 (-.f64 64009/1000000 (.f64 (.f64 x x) 9/625)) (+.f64 253/1000 (.f64 -3/25 x)))))

Compiler

Compiled 199 to 151 computations (24.1% saved)

regimes32.0ms (0.4%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(.f64 x (+.f64 253/1000 (.f64 x 3/25)))
9.0ms	x
8.0ms	(-.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 204 to 146 computations (28.4% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
2.6b	1	`x`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes14.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch39.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.07561304932366755	3.8842121144293134
21.0ms	-59.12902663105794	-3.0827595691772376

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes13.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.5b	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.07561304932366755	3.8842121144293134
19.0ms	-59.12902663105794	-3.0827595691772376

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes11.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.5b	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.07561304932366755	3.8842121144293134
18.0ms	-59.12902663105794	-3.0827595691772376

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -35.9b remaining (-136.6%)

Threshold costs -35.9b (-136.6%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
26.3b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	111
1	53	111
2	78	111
3	95	111
4	110	111
5	118	111
6	125	111
7	127	111
8	128	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 1394814569506472448/18446744073709551616) (-.f64 1 (.f64 253/1000 x)) (.f64 -3/25 (*.f64 x x))))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 1394814569506472448/18446744073709551616) 1 (.f64 -3/25 (.f64 x x))))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 1394814569506472448/18446744073709551616) 1 (.f64 -3/25 (.f64 x x))))
1

Outputs
(-.f64 1 (.f64 x (+.f64 253/1000 (.f64 x 3/25))))
(-.f64 1 (.f64 3/25 (.f64 x x)))
(+.f64 1 (.f64 (.f64 x x) -3/25))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 1394814569506472448/18446744073709551616) (-.f64 1 (.f64 253/1000 x)) (.f64 -3/25 (*.f64 x x))))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 2724247206067329/36028797018963968) (+.f64 1 (.f64 -253/1000 x)) (.f64 (*.f64 x x) -3/25)))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 2724247206067329/36028797018963968) (+.f64 1 (.f64 x -253/1000)) (.f64 (*.f64 x x) -3/25)))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 1394814569506472448/18446744073709551616) 1 (.f64 -3/25 (.f64 x x))))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 x (.f64 x -3/25)) (if (<=.f64 x 2724247206067329/36028797018963968) 1 (.f64 (.f64 x x) -3/25)))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 -3/25 (.f64 x x)) (if (<=.f64 x 1394814569506472448/18446744073709551616) 1 (.f64 -3/25 (.f64 x x))))
(if (<=.f64 x -2080417674237599/35184372088832) (.f64 (.f64 x x) -3/25) (if (<=.f64 x 2724247206067329/36028797018963968) 1 (.f64 (.f64 x x) -3/25)))
1

end56.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 163 to 112 computations (31.3% saved)