Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (11.7%)

Results

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

preprocess190.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))
(.f64 x (.f64 x (+.f64 3 (*.f64 x -2))))
(.f64 x (.f64 x (fma.f64 x -2 3)))

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 x (fma.f64 x -2 3)))
▶	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x -2 3))
✓	0.2b	(.f64 x (.f64 x (fma.f64 x -2 3)))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (.f64 x (fma.f64 x -2 3)))
1.0ms	x	@	0	(.f64 x (.f64 x (fma.f64 x -2 3)))
1.0ms	x	@	inf	(.f64 x (.f64 x (fma.f64 x -2 3)))
0.0ms	x	@	-inf	(*.f64 x (fma.f64 x -2 3))
0.0ms	x	@	0	(*.f64 x (fma.f64 x -2 3))

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`pow1_binary64`
601×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	143	19
2	1613	19

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 x (fma.f64 x -2 3))

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

Outputs

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

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

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
800×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	176	13
2	2201	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 x x)) (.f64 (.f64 x -2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 3) (.f64 (.f64 x x) (.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 27 (.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x x) (-.f64 9 (.f64 (.f64 x x) 4))) (+.f64 3 (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 x (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (+.f64 3 (.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 (.f64 x -2)) 3) (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) (+.f64 3 (.f64 x -2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x x)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 3) (*.f64 (*.f64 x x) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (*.f64 8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 (*.f64 x x) 4)) (*.f64 x x)) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 27 (*.f64 8 (pow.f64 x 3)))) (+.f64 9 (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 9 (*.f64 (*.f64 x x) 4))) (+.f64 3 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 3 (*.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 3 (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 3 (*.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (*.f64 x -2)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 3 (*.f64 x -2)))))))))

simplify185.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	147
1	26	147
2	58	138
3	152	120
4	418	120
5	1671	120
6	3415	120
7	3771	120
8	4021	120
9	4308	120
10	4687	120
11	5244	120
12	5864	120
13	6570	120
14	7043	120
15	7360	120
16	7632	120
17	7802	120
18	7896	120

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

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

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

eval14.0ms (0.2%)

Compiler: Compiled 650 to 437 computations (32.8% saved)

prune24.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	49	11	60
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	50	12	62

Error

0.0b

Counts

62 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	8.9b	(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
	16.3b	(.f64 x (.f64 3 x))
	0.9b	(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
	25.7b	(*.f64 -2 (pow.f64 x 3))
	40.1b	(.f64 x (pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -2 3))) 2))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	6.2b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
▶	25.8b	(.f64 x (.f64 x (*.f64 x -2)))
▶	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
▶	16.3b	(.f64 3 (.f64 x x))
▶	4.7b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

Compiler

Compiled 270 to 189 computations (30% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
430×	`prod-exp_binary64`
428×	`fma-def_binary64`
356×	`pow-prod-down_binary64`
355×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	19
2	2733	19

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(+.f64 (.f64 (.f64 x -2) x) (*.f64 3 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 3)) (*.f64 (*.f64 x -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 1) (*.f64 (*.f64 x (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 x -2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 3) (pow.f64 (*.f64 x (*.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2) (*.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 x 3)) 2)) (-.f64 (*.f64 (*.f64 x -2) (*.f64 x x)) (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 (*.f64 x (*.f64 x -2)) 3)) x) (fma.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2))) (pow.f64 (*.f64 x (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x -2 3)) (*.f64 x (fma.f64 x -2 -3))) x) (*.f64 x (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 27 (pow.f64 (*.f64 x (*.f64 x -2)) 3))) (fma.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) (*.f64 x (*.f64 x -2))) (pow.f64 (*.f64 x (*.f64 x -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x -2 3)) (*.f64 x (fma.f64 x -2 -3)))) (*.f64 x (fma.f64 x -2 -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -2 3)))))))) (#(struct:change 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fma.f64 3 x (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3) 1 (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -2 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) 2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -2))) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 3) 2)) (cbrt.f64 (*.f64 x 3)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -2) 2)) (*.f64 (cbrt.f64 (*.f64 x -2)) x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -2))) (sqrt.f64 (*.f64 x (*.f64 x -2))) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -2)) (*.f64 (sqrt.f64 (*.f64 x -2)) x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -2) 2))) (cbrt.f64 (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) (sqrt.f64 (*.f64 x -2)) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 3))))))

simplify187.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	264
1	33	264
2	66	246
3	158	210
4	446	210
5	1724	210
6	3420	210
7	3738	210
8	3989	210
9	4276	210
10	4655	210
11	5213	210
12	5831	210
13	6543	210
14	7012	210
15	7331	210
16	7599	210
17	7763	210
18	7855	210

Stop Event

1×	node limit

Counts

173 → 158

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 3 (.f64 x x))

Outputs

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

simplify184.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`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	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x (*.f64 x -2)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (.f64 x (*.f64 x -2)))
1.0ms	x	@	0	(.f64 x (.f64 x (*.f64 x -2)))
0.0ms	x	@	-inf	(.f64 x (.f64 x (*.f64 x -2)))

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`pow1_binary64`
509×	`add-log-exp_binary64`
509×	`log1p-expm1-u_binary64`
509×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	7
2	1415	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 x (*.f64 x -2)))

Outputs

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

simplify170.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
438×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	15	84
2	32	84
3	56	84
4	114	84
5	326	84
6	1180	84
7	1869	84
8	1956	84
9	2089	84
10	2247	84
11	2486	84
12	2808	84
13	3231	84
14	3733	84
15	4335	84
16	5057	84
17	5378	84
18	5664	84
19	5886	84
20	6064	84
21	6144	84
22	7084	84

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 9 (.f64 (.f64 x x) 4))
✓	0.0b	(.f64 (.f64 x x) 4)
✓	0.2b	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
✓	4.3b	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 57 to 33 computations (42.1% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x x) 4)

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
443×	`prod-diff_binary64`
257×	`fma-def_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	294	46
2	3991	42

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x))
(.f64 (.f64 x x) 4)
(-.f64 9 (.f64 (.f64 x x) 4))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 64 (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (+.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 9 (.f64 (.f64 x x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 9 (.f64 (.f64 (.f64 x x) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) -4) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 x x) -4 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 x x) -4 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 x x) -4 9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 2) (cbrt.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 9)) (sqrt.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 81 (.f64 16 (pow.f64 x 4))) (/.f64 1 (fma.f64 x (.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (.f64 x 4) 9) (-.f64 81 (.f64 16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3))) (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (.f64 16 (pow.f64 x 4))) (fma.f64 x (.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 81 (.f64 16 (pow.f64 x 4)))) (neg.f64 (fma.f64 x (.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 729 (pow.f64 (.f64 (.f64 x x) -4) 3)) (+.f64 81 (-.f64 (.f64 (.f64 (.f64 x x) -4) (.f64 (.f64 x x) -4)) (.f64 9 (.f64 (.f64 x x) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (.f64 (.f64 (.f64 x x) -4) (.f64 (.f64 x x) -4))) (-.f64 9 (.f64 (.f64 x x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 x x) -4 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -4 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 x x) -4 9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 81 (fma.f64 16 (pow.f64 x 4) (.f64 36 (.f64 x x)))) (-.f64 729 (.f64 64 (pow.f64 (.f64 x x) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (.f64 x 4) 9) (-.f64 81 (.f64 16 (pow.f64 x 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x x) -4 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 x x) -4 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 x x) -4 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x x) -4 9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 (.f64 x 4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) -4 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 x (neg.f64 x)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) (neg.f64 (+.f64 x x)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (.f64 x x) -4) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (neg.f64 x)) 4 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) -4)) (cbrt.f64 (.f64 (.f64 x x) -4))) (cbrt.f64 (.f64 (.f64 x x) -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (.f64 x x) -4)) (sqrt.f64 (.f64 (.f64 x x) -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (+.f64 x x)) (+.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 x (.f64 x 4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (.f64 x 4) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 x x)) 2) 9)))))

simplify199.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
542×	`cube-prod_binary64`
454×	`fabs-mul_binary64`
394×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	483
1	45	465
2	99	456
3	261	438
4	900	438
5	1619	438
6	3117	438
7	3236	438
8	3409	438
9	3621	438
10	3906	438
11	4282	438
12	4727	438
13	5279	438
14	5967	438
15	6428	438
16	6735	438
17	7005	438
18	7221	438
19	7411	438

Stop Event

1×	node limit

Counts

193 → 162

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(.f64 9 (.f64 x x))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(fma.f64 -4 (pow.f64 x 4) (.f64 9 (.f64 x x)))
(fma.f64 -4 (pow.f64 x 4) (.f64 x (.f64 x 9)))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(.f64 4 (.f64 x x))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 8 (pow.f64 x 3))
✓	0.0b	(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
✓	0.2b	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
✓	5.8b	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))

Compiler

Compiled 88 to 58 computations (34.1% saved)

series9.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
1.0ms	x	@	inf	(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
1.0ms	x	@	inf	(*.f64 8 (pow.f64 x 3))

rewrite113.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

551×	`fma-def_binary64`
318×	`expm1-udef_binary64`
318×	`log1p-udef_binary64`
274×	`fma-neg_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	414	64
2	5499	54

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
(.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (*.f64 x x))
(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
(*.f64 8 (pow.f64 x 3))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x 4 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 16 (pow.f64 x 4)) (.f64 x (fma.f64 x 4 -6))) (/.f64 (.f64 (.f64 x x) 36) (.f64 x (fma.f64 x 4 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x 4 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 6 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x 4 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x 4 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 2) (cbrt.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 x 4 6))) (sqrt.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36)) (.f64 x (fma.f64 x 4 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 216 (.f64 64 (pow.f64 x 6)))) (neg.f64 (fma.f64 (.f64 x 6) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))) (.f64 16 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 x x) 36))) (neg.f64 (.f64 x (fma.f64 x 4 -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 36) (.f64 16 (pow.f64 x 4))) (-.f64 (.f64 x 6) (.f64 x (.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x 4 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x 4 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x 4 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x 4 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x 4 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x 4 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))) (pow.f64 (exp.f64 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 4) (.f64 x x)) (+.f64 1 (expm1.f64 (.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4)))) (+.f64 1 (expm1.f64 (.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 6))) (pow.f64 (exp.f64 4) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 6) x) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 6))) (+.f64 1 (expm1.f64 (.f64 x (.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 4 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 4 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 4) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 4 (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 x x) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x 4)) 1 (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 6) 1 (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x 4)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 6) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x 6)) (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 6)) 2) (cbrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (.f64 x x)) 4) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 16 (pow.f64 x 4))) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x 4))) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 6) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x 4)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 6)) (sqrt.f64 (.f64 x 6)) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 2) (.f64 x 2) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 6) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 4)) (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 4) x (.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 6 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 6 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)) (.f64 x 6))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 8) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 512) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 8 (pow.f64 x 3))) 1))))))

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

908×	`distribute-lft-in_binary64`
697×	`unswap-sqr_binary64`
678×	`associate-r_binary64`
586×	`distribute-rgt-in_binary64`
408×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	411
1	50	411
2	105	393
3	262	357
4	699	357
5	2082	357
6	4292	357
7	4902	357
8	6925	357
9	7271	357
10	7741	357

Stop Event

1×	node limit

Counts

183 → 162

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 27 (pow.f64 x 2))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 -8 (pow.f64 x 5))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(+.f64 (.f64 -8 (pow.f64 x 5)) (.f64 27 (pow.f64 x 2)))
(fma.f64 -8 (pow.f64 x 5) (.f64 (.f64 x x) 27))
(fma.f64 (.f64 x x) 27 (.f64 -8 (pow.f64 x 5)))
(fma.f64 x (.f64 x 27) (.f64 -8 (pow.f64 x 5)))
(fma.f64 -8 (pow.f64 x 5) (.f64 x (.f64 x 27)))
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(*.f64 4 (pow.f64 x 2))
(.f64 (.f64 x x) 4)
(.f64 x (.f64 x 4))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))
(+.f64 (.f64 6 x) (.f64 4 (pow.f64 x 2)))
(fma.f64 6 x (.f64 (.f64 x x) 4))
(fma.f64 x 6 (.f64 x (.f64 x 4)))
(.f64 x (+.f64 (.f64 x 4) 6))
(*.f64 x (fma.f64 x 4 6))

eval357.0ms (4%)

Compiler: Compiled 10209 to 6940 computations (32% saved)

prune91.0ms (1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	502	8	510
Fresh	4	2	6
Picked	1	0	1
Done	1	4	5
Total	508	14	522

Error

Counts

522 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	25.8b	(.f64 x (.f64 x (*.f64 x -2)))
▶	0.2b	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
	16.0b	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
▶	15.6b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
✓	16.3b	(.f64 3 (.f64 x x))
	25.7b	(*.f64 -2 (pow.f64 x 3))
▶	4.7b	(/.f64 (+.f64 0 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (+.f64 3 (.f64 x 2)))
	0.3b	(.f64 (fma.f64 (.f64 x x) -4 9) (.f64 (.f64 x x) (/.f64 1 (fma.f64 x 2 3))))
	0.6b	(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
▶	16.3b	(.f64 x (.f64 3 x))
▶	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

Compiler

Compiled 316 to 214 computations (32.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
✓	0.2b	(.f64 (.f64 x -2) (*.f64 x x))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
0.0ms	x	@	0	(.f64 (.f64 x -2) (*.f64 x x))
0.0ms	x	@	inf	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
0.0ms	x	@	inf	(.f64 (.f64 x -2) (*.f64 x x))
0.0ms	x	@	-inf	(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
676×	`add-log-exp_binary64`
675×	`log1p-expm1-u_binary64`
675×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	166	20
2	1909	20

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(.f64 (.f64 x -2) (*.f64 x x))
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))

Outputs

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

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

simplify183.0ms (2%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
468×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	231
1	26	231
2	58	222
3	150	204
4	392	204
5	1575	204
6	3322	204
7	3678	204
8	3928	204
9	4215	204
10	4594	204
11	5147	204
12	5769	204
13	6477	204
14	6948	204
15	7267	204
16	7539	204
17	7705	204
18	7797	204

Stop Event

1×	node limit

Counts

59 → 40

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
423×	`*-un-lft-identity_binary64`
412×	`add-log-exp_binary64`
412×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1132	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 x (.f64 3 x))

Outputs

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

simplify175.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
556×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
446×	`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	104	84
5	318	84
6	1268	84
7	2140	84
8	2304	84
9	2488	84
10	2696	84
11	2991	84
12	3382	84
13	3863	84
14	4431	84
15	5123	84
16	5958	84
17	6350	84
18	6640	84
19	6918	84
20	6988	84
21	7024	84
22	7965	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(.f64 x (.f64 3 x))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
✓	0.2b	(.f64 (.f64 x x) (*.f64 x -2))
✓	0.2b	(.f64 (.f64 x x) 3)

Compiler

Compiled 35 to 17 computations (51.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
0.0ms	x	@	0	(.f64 (.f64 x x) 3)
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (*.f64 x -2))

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
497×	`fma-def_binary64`
408×	`prod-exp_binary64`
338×	`exp-prod_binary64`
328×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	199	25
2	2644	25

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(.f64 (.f64 x x) 3)
(.f64 (.f64 x x) (*.f64 x -2))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 9) -8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 9) -8)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (*.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (*.f64 x -2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -2)) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x -2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x -2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (*.f64 x -2))) (*.f64 (log.f64 x) 1)))))))

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

simplify188.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`
478×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	315
1	26	315
2	58	306
3	152	288
4	418	288
5	1671	288
6	3415	288
7	3771	288
8	4021	288
9	4308	288
10	4687	288
11	5244	288
12	5864	288
13	6570	288
14	7043	288
15	7360	288
16	7632	288
17	7802	288
18	7896	288

Stop Event

1×	node limit

Counts

188 → 156

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 x x) 4)
	0.0b	(+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))
✓	0.2b	(.f64 x (.f64 x 27))
✓	0.2b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))

Compiler

Compiled 62 to 38 computations (38.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
0.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
0.0ms	x	@	inf	(.f64 x (.f64 x 27))
0.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
0.0ms	x	@	0	(.f64 x (.f64 x 27))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log-prod_binary64`
483×	`fma-def_binary64`
266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`
253×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	317	29
2	4315	25

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
(.f64 x (.f64 x 27))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))) (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 27) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 27) (*.f64 x (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 27)) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 27 (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 2) (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 27)) (*.f64 (*.f64 x (sqrt.f64 27)) (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -27) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 27) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) 1) (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x (fma.f64 x 4 6) 9)) (*.f64 x 27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 27 (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) 1) (/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) 1) (/.f64 (*.f64 x (sqrt.f64 27)) (fma.f64 x (fma.f64 x 4 6) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (*.f64 x 27) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 27 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (*.f64 x (*.f64 x 27)) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9)) 2)) (/.f64 (*.f64 x (sqrt.f64 27)) (cbrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 x 27) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 27 (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 x (*.f64 x 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) (/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 27)) (+.f64 729 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 3))) (fma.f64 (*.f64 x (fma.f64 x 4 6)) (fma.f64 x (fma.f64 x 4 6) -9) 81))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 27)) (-.f64 81 (pow.f64 (*.f64 x (fma.f64 x 4 6)) 2))) (-.f64 9 (*.f64 x (fma.f64 x 4 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 27)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 6) 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (*.f64 x (*.f64 x 27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) (*.f64 x (*.f64 x 27))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 27)) (neg.f64 (fma.f64 x (fma.f64 x 4 6) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x (fma.f64 x 4 6) 9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 27)) 3) (pow.f64 (fma.f64 x (fma.f64 x 4 6) 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 27)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 27)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 27)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (*.f64 x x)) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 27)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 27)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 27)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 27) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 27) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 27))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 27))) 1))))))

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

622×	`distribute-neg-frac_binary64`
492×	`unswap-sqr_binary64`
459×	`fma-def_binary64`
363×	`associate-l_binary64`
362×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	252
1	110	252
2	278	249
3	808	243
4	3015	242
5	6956	242

Stop Event

1×	node limit

Counts

95 → 88

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -16/27 (pow.f64 x 6)))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))
(*.f64 27 (pow.f64 x 2))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (.f64 3 (.f64 x x))))
(fma.f64 8/9 (pow.f64 x 5) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (.f64 8/9 (pow.f64 x 5)))
(fma.f64 (.f64 x x) (fma.f64 x -2 3) (.f64 8/9 (pow.f64 x 5)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 3 (.f64 x x) (fma.f64 -2 (pow.f64 x 3) (.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -16/27 (pow.f64 x 6) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (fma.f64 -16/27 (pow.f64 x 6) (.f64 8/9 (pow.f64 x 5))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (.f64 (pow.f64 x 5) (+.f64 8/9 (*.f64 x -16/27))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 27/4 (/.f64 81/8 x)))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 81/8 x)))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 -81/8 x)))
(+.f64 (+.f64 27/4 (/.f64 -81/8 x)) (/.f64 729/32 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
(-.f64 (+.f64 27/4 (/.f64 729/32 (pow.f64 x 3))) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4))))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 27/4 (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 (/.f64 -2187/64 (pow.f64 x 4)) (/.f64 81/8 x))))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (.f64 81/8 (/.f64 1 x)))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 27/4 (/.f64 81/8 x)))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 81/8 x)))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (/.f64 -81/8 x)))
(+.f64 (+.f64 27/4 (/.f64 -81/8 x)) (/.f64 729/32 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 729/32 (/.f64 1 (pow.f64 x 3))) 27/4) (+.f64 (.f64 2187/64 (/.f64 1 (pow.f64 x 4))) (*.f64 81/8 (/.f64 1 x))))
(-.f64 (+.f64 27/4 (/.f64 729/32 (pow.f64 x 3))) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4))))
(+.f64 27/4 (-.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 81/8 x) (/.f64 2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 (/.f64 729/32 (pow.f64 x 3)) (+.f64 27/4 (+.f64 (/.f64 -81/8 x) (/.f64 -2187/64 (pow.f64 x 4)))))
(+.f64 27/4 (+.f64 (/.f64 729/32 (pow.f64 x 3)) (-.f64 (/.f64 -2187/64 (pow.f64 x 4)) (/.f64 81/8 x))))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))
(*.f64 27 (pow.f64 x 2))
(.f64 (.f64 x x) 27)
(.f64 x (.f64 x 27))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 x x) -4 9)
✓	0.1b	(.f64 x (fma.f64 (.f64 x x) -4 9))
✓	0.2b	(.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9)))
✓	4.3b	(/.f64 (+.f64 0 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (+.f64 3 (.f64 x 2)))

Compiler

Compiled 72 to 44 computations (38.9% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 0 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (+.f64 3 (.f64 x 2)))
1.0ms	x	@	inf	(/.f64 (+.f64 0 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (+.f64 3 (.f64 x 2)))
0.0ms	x	@	0	(.f64 x (fma.f64 (.f64 x x) -4 9))
0.0ms	x	@	-inf	(/.f64 (+.f64 0 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (+.f64 3 (.f64 x 2)))
0.0ms	x	@	inf	(.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9)))

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
340×	`pow2_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	329	54
2	3998	54

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

Inputs
(/.f64 (+.f64 0 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (+.f64 3 (.f64 x 2)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -4 9)))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(fma.f64 (*.f64 x x) -4 9)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (fma.f64 x 2 3) (.f64 x (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x 2 3) (.f64 x (fma.f64 x (.f64 x -4) 9)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x 2 3) (.f64 x (fma.f64 x (.f64 x -4) 9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x 2 3) (.f64 x (fma.f64 x (.f64 x -4) 9))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x 2 3) (.f64 x (fma.f64 x (.f64 x -4) 9))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x 2 3) (.f64 x (fma.f64 x (.f64 x -4) 9)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x -4) 9) (/.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (.f64 x (.f64 x -4))) (.f64 (.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (.f64 x -4) 9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (.f64 x -4) 9)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (.f64 x -4) 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (fma.f64 x (.f64 x -4) 9) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 x (.f64 x -4)) (.f64 (.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (.f64 x -4) 9) (.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9))) 3) (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x -4) 9) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) 2) (.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9)))) (cbrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x -4) 9) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x -4) 9) 2))) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x -4) 9)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (.f64 x -4) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) (.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -4) 9))) (.f64 x (sqrt.f64 (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x -4)) (.f64 x x) (.f64 9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (.f64 x -4) 9) 2))) (/.f64 1 (.f64 (.f64 x x) (neg.f64 (fma.f64 x (.f64 x -4) 9)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) 2)) (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)))) (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -4) 9)) 2)) (cbrt.f64 (fma.f64 x (.f64 x -4) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 x (.f64 x -4) 9))) (sqrt.f64 (fma.f64 x (.f64 x -4) 9)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) (sqrt.f64 x)) (sqrt.f64 x) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -4)) x) (.f64 9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (.f64 x -4))) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (.f64 x -4) 9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (.f64 x -4) 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 x -4) 9) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -4) 9) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 x -4) 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 x -4) 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x -4) 9) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (.f64 x -4) 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x (.f64 x -4)) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x -4)) x (.f64 9 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (.f64 x -4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 9 (.f64 x (.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x -4)) 1) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x -4) 9))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x -4) 9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x -4) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x -4) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x -4) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x -4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x -4) 9)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -4) 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -4) 9)) 2) (cbrt.f64 (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x -4) 9)) (sqrt.f64 (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -4)) 3) 729) (+.f64 (pow.f64 (.f64 x (.f64 x -4)) 2) (-.f64 81 (.f64 (.f64 x (.f64 x -4)) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -4)) 2) 81) (fma.f64 x (.f64 x -4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x -4) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x -4) 9) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x -4) 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -4) 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x -4) 9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x -4) 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x -4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -4) 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x -4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x -4) 9)) 1))))))

simplify201.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
542×	`cube-prod_binary64`
460×	`fabs-mul_binary64`
386×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	516
1	50	498
2	109	489
3	278	471
4	890	471
5	1580	471
6	3059	471
7	3178	471
8	3351	471
9	3563	471
10	3846	471
11	4220	471
12	4670	471
13	5223	471
14	5915	471
15	6374	471
16	6685	471
17	6957	471
18	7175	471
19	7369	471

Stop Event

1×	node limit

Counts

208 → 181

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 9 x)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(*.f64 -4 (pow.f64 x 3))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(*.f64 -4 (pow.f64 x 3))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 9 x)
(*.f64 x 9)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(*.f64 -4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -4)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(*.f64 -4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -4)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)

eval392.0ms (4.4%)

Compiler: Compiled 10756 to 7749 computations (28% saved)

prune126.0ms (1.4%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	558	7	565
Fresh	1	4	5
Picked	1	0	1
Done	2	6	8
Total	562	17	579

Error

Counts

579 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.2b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	16.0b	(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
✓	25.8b	(.f64 x (.f64 x (*.f64 x -2)))
	30.1b	(/.f64 (+.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -4))))) (+.f64 3 (*.f64 x 2)))
✓	16.3b	(.f64 3 (.f64 x x))
▶	62.3b	(+.f64 27/4 (/.f64 -81/8 x))
✓	16.3b	(.f64 x (.f64 3 x))
▶	16.0b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
	61.4b	27/4
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
	16.0b	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	25.7b	(*.f64 -2 (pow.f64 x 3))
	15.6b	(+.f64 0 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))
▶	0.6b	(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))
▶	4.7b	(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Compiler

Compiled 334 to 242 computations (27.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (*.f64 x x) -4 9)
✓	0.2b	(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))
✓	0.2b	(/.f64 (fma.f64 x 2 3) (*.f64 x x))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x)))

Compiler

Compiled 55 to 33 computations (40% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (fma.f64 x 2 3) (*.f64 x x))
1.0ms	x	@	0	(/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x)))
0.0ms	x	@	inf	(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (fma.f64 x 2 3) (*.f64 x x))

rewrite118.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`log-prod_binary64`
318×	`pow-prod-down_binary64`
305×	`pow2_binary64`
214×	`pow1/3_binary64`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	274	43
2	3277	43

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x)))
(/.f64 (fma.f64 x 2 3) (*.f64 x x))
(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))

Outputs

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

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

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

581×	`times-frac_binary64`
576×	`associate-*l/_binary64`
426×	`fma-neg_binary64`
374×	`fma-def_binary64`
326×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	429
1	119	429
2	276	418
3	743	393
4	2162	393
5	4342	393

Stop Event

1×	node limit

Counts

180 → 171

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 2))
(+.f64 (.f64 -2/9 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 2)))
(+.f64 (.f64 -2/9 (pow.f64 x 3)) (+.f64 (.f64 4/27 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))))
(+.f64 (.f64 -2/9 (pow.f64 x 3)) (+.f64 (.f64 4/27 (pow.f64 x 4)) (+.f64 (.f64 -8/81 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 2)))))
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 3/4)
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) 3/4)
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) (+.f64 3/4 (*.f64 27/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 3/4)
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) 3/4)
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) (+.f64 3/4 (*.f64 27/16 (/.f64 1 (pow.f64 x 2)))))
(/.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(/.f64 2 x)
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(/.f64 2 x)
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))

Outputs
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(+.f64 (.f64 -2/9 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 2)))
(fma.f64 -2/9 (pow.f64 x 3) (.f64 1/3 (.f64 x x)))
(fma.f64 1/3 (.f64 x x) (.f64 -2/9 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2/9) 1/3))
(.f64 (.f64 x x) (fma.f64 x -2/9 1/3))
(+.f64 (.f64 -2/9 (pow.f64 x 3)) (+.f64 (.f64 4/27 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 2))))
(fma.f64 -2/9 (pow.f64 x 3) (fma.f64 4/27 (pow.f64 x 4) (.f64 1/3 (.f64 x x))))
(fma.f64 -2/9 (pow.f64 x 3) (fma.f64 1/3 (.f64 x x) (.f64 4/27 (pow.f64 x 4))))
(fma.f64 4/27 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 (*.f64 x -2/9) 1/3)))
(fma.f64 (.f64 x x) (fma.f64 x -2/9 1/3) (.f64 4/27 (pow.f64 x 4)))
(+.f64 (.f64 -2/9 (pow.f64 x 3)) (+.f64 (.f64 4/27 (pow.f64 x 4)) (+.f64 (.f64 -8/81 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 2)))))
(fma.f64 -2/9 (pow.f64 x 3) (fma.f64 4/27 (pow.f64 x 4) (fma.f64 -8/81 (pow.f64 x 5) (.f64 1/3 (.f64 x x)))))
(fma.f64 -2/9 (pow.f64 x 3) (fma.f64 4/27 (pow.f64 x 4) (fma.f64 1/3 (.f64 x x) (.f64 -8/81 (pow.f64 x 5)))))
(fma.f64 x (.f64 x (fma.f64 x -2/9 1/3)) (fma.f64 4/27 (pow.f64 x 4) (.f64 -8/81 (pow.f64 x 5))))
(fma.f64 (.f64 x x) (fma.f64 x -2/9 1/3) (fma.f64 4/27 (pow.f64 x 4) (.f64 -8/81 (pow.f64 x 5))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(-.f64 (*.f64 1/2 x) 3/4)
(fma.f64 1/2 x -3/4)
(fma.f64 x 1/2 -3/4)
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) 3/4)
(+.f64 (/.f64 9/8 x) (fma.f64 1/2 x -3/4))
(+.f64 (fma.f64 x 1/2 (/.f64 9/8 x)) -3/4)
(fma.f64 x 1/2 (+.f64 (/.f64 9/8 x) -3/4))
(+.f64 (fma.f64 x 1/2 -3/4) (/.f64 9/8 x))
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) (+.f64 3/4 (*.f64 27/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 9/8 x) (fma.f64 1/2 x -3/4)) (/.f64 27/16 (*.f64 x x)))
(+.f64 (/.f64 9/8 x) (-.f64 (fma.f64 x 1/2 -3/4) (/.f64 27/16 (*.f64 x x))))
(+.f64 (fma.f64 x 1/2 -3/4) (-.f64 (/.f64 9/8 x) (/.f64 27/16 (*.f64 x x))))
(+.f64 (fma.f64 x 1/2 -3/4) (+.f64 (/.f64 9/8 x) (/.f64 -27/16 (*.f64 x x))))
(+.f64 (fma.f64 x 1/2 -3/4) (+.f64 (/.f64 9/8 x) (/.f64 (/.f64 -27/16 x) x)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(-.f64 (*.f64 1/2 x) 3/4)
(fma.f64 1/2 x -3/4)
(fma.f64 x 1/2 -3/4)
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) 3/4)
(+.f64 (/.f64 9/8 x) (fma.f64 1/2 x -3/4))
(+.f64 (fma.f64 x 1/2 (/.f64 9/8 x)) -3/4)
(fma.f64 x 1/2 (+.f64 (/.f64 9/8 x) -3/4))
(+.f64 (fma.f64 x 1/2 -3/4) (/.f64 9/8 x))
(-.f64 (+.f64 (.f64 9/8 (/.f64 1 x)) (.f64 1/2 x)) (+.f64 3/4 (*.f64 27/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 9/8 x) (fma.f64 1/2 x -3/4)) (/.f64 27/16 (*.f64 x x)))
(+.f64 (/.f64 9/8 x) (-.f64 (fma.f64 x 1/2 -3/4) (/.f64 27/16 (*.f64 x x))))
(+.f64 (fma.f64 x 1/2 -3/4) (-.f64 (/.f64 9/8 x) (/.f64 27/16 (*.f64 x x))))
(+.f64 (fma.f64 x 1/2 -3/4) (+.f64 (/.f64 9/8 x) (/.f64 -27/16 (*.f64 x x))))
(+.f64 (fma.f64 x 1/2 -3/4) (+.f64 (/.f64 9/8 x) (/.f64 (/.f64 -27/16 x) x)))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (*.f64 x x))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(/.f64 2 x)
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(/.f64 2 x)
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 3 (*.f64 x x)) (/.f64 2 x))
(*.f64 3 (pow.f64 x 2))
(.f64 (.f64 x x) 3)
(.f64 x (.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -2)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -2)
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 (pow.f64 x 3) -2))
(fma.f64 (.f64 x x) 3 (.f64 (pow.f64 x 3) -2))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 27/4 (/.f64 -81/8 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 27/4 (/.f64 -81/8 x))
0.0ms	x	@	inf	(+.f64 27/4 (/.f64 -81/8 x))
0.0ms	x	@	-inf	(+.f64 27/4 (/.f64 -81/8 x))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1759	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 27/4 (/.f64 -81/8 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 27/4 (/.f64 -81/8 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 729/16 (-.f64 27/4 (/.f64 -81/8 x))) (/.f64 (/.f64 6561/64 (*.f64 x x)) (-.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 27/4 (/.f64 -81/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 27/4 (/.f64 -81/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) (pow.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 2) (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) (sqrt.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3))) (/.f64 1 (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 729/16 (/.f64 6561/64 (*.f64 x x))) (/.f64 1 (-.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x))) (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 27/4 (/.f64 -81/8 x)) (-.f64 729/16 (/.f64 6561/64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3))) (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3))) (+.f64 (/.f64 6561/64 (*.f64 x x)) (-.f64 729/16 (/.f64 -2187/32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 729/16 (/.f64 6561/64 (*.f64 x x))) (-.f64 27/4 (/.f64 -81/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 19683/64 (/.f64 -531441/512 (pow.f64 x 3)))) (neg.f64 (+.f64 729/16 (-.f64 (/.f64 6561/64 (*.f64 x x)) (/.f64 -2187/32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 729/16 (/.f64 6561/64 (*.f64 x x)))) (neg.f64 (-.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 6561/64 (*.f64 x x)) 729/16) (-.f64 (/.f64 -81/8 x) 27/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 27/4 (/.f64 -81/8 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 27/4 (/.f64 -81/8 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 27/4 (/.f64 -81/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -81/8 (/.f64 1 x) 27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -81/8 x) 27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 6561/64 (*.f64 x x))) (cbrt.f64 (/.f64 -81/8 x)) 27/4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -81/8 x)) (sqrt.f64 (/.f64 -81/8 x)) 27/4)))))

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	20	69
2	31	69
3	47	69
4	62	69
5	80	69
6	98	69
7	113	69
8	120	69

Stop Event

1×

saturated

Counts

43 → 35

Calls

Call 1

Inputs
(/.f64 -81/8 x)
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))

Outputs
(/.f64 -81/8 x)
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
27/4
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))
(-.f64 27/4 (*.f64 81/8 (/.f64 1 x)))
(-.f64 27/4 (/.f64 81/8 x))
(+.f64 27/4 (/.f64 -81/8 x))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 9 (*.f64 x 6))
	0.2b	(.f64 x (.f64 x 27))
✓	0.2b	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
0.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
0.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
0.0ms	x	@	inf	(+.f64 9 (*.f64 x 6))
0.0ms	x	@	-inf	(+.f64 9 (*.f64 x 6))

rewrite107.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
426×	`exp-prod_binary64`
304×	`pow-prod-down_binary64`
271×	`pow2_binary64`
191×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	221	19
2	2903	19

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(+.f64 9 (*.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 1/27 (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 27) (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 27) (*.f64 x (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 27)) (/.f64 1 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 27 (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 3) (/.f64 1 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x 6 9) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x 6 9) -2))) (cbrt.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 27)) (*.f64 (*.f64 x (sqrt.f64 27)) (/.f64 1 (fma.f64 x 6 9))))))) 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pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 27)) (neg.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 729) (pow.f64 (fma.f64 x 6 9) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 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(fma.f64 x 6 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 x 6 9) x) (*.f64 x 27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 27) (/.f64 (fma.f64 x 6 9) x))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 6 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 81 (+.f64 9 (*.f64 -6 x))) (/.f64 (*.f64 (*.f64 x x) 36) (+.f64 9 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 6 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 6 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 6 9)) (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 2) (cbrt.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 6 9)) (sqrt.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 216 729) (/.f64 1 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 81 (*.f64 (*.f64 x x) 36)) (/.f64 1 (+.f64 9 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81) (fma.f64 (pow.f64 x 3) 216 729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 9 (*.f64 -6 x)) (-.f64 81 (*.f64 (*.f64 x x) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 729) (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 216 729) (fma.f64 (*.f64 x x) 36 (-.f64 81 (*.f64 54 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (*.f64 (*.f64 x x) 36)) (+.f64 9 (*.f64 -6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 216 729)) (neg.f64 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 81 (*.f64 (*.f64 x x) 36))) (neg.f64 (+.f64 9 (*.f64 -6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 36 -81) (fma.f64 x 6 -9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 6 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 9) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 6 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 6 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 6 9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 6) (fma.f64 x 6 -9) 81) (fma.f64 (pow.f64 x 3) 216 729)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 9 (*.f64 -6 x)) (-.f64 81 (*.f64 (*.f64 x x) 36))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 6 9))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 6 9)))) (sqrt.f64 (log.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 6 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 6 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 6 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 6 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 6 9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 6 9) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 6 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 6 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 6 9)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 6 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 x 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 6) 1 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 6) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 6)) (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 6)) 2) (cbrt.f64 (*.f64 x 6)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 6) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 6)) (sqrt.f64 (*.f64 x 6)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 6) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6 (sqrt.f64 x)) (sqrt.f64 x) 9)))))

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

937×	`fma-def_binary64`
514×	`associate-/l/_binary64`
439×	`times-frac_binary64`
426×	`fma-neg_binary64`
421×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	204
1	106	204
2	239	202
3	639	195
4	1848	189
5	4494	189

Stop Event

1×	node limit

Counts

137 → 133

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(*.f64 9/2 x)
(-.f64 (*.f64 9/2 x) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
9
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(*.f64 6 x)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(*.f64 6 x)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)
(+.f64 (*.f64 6 x) 9)

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 (.f64 x x) (fma.f64 x -2 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -2 (pow.f64 x 3) (.f64 4/3 (pow.f64 x 4))))
(fma.f64 4/3 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2))))
(fma.f64 (.f64 x x) (fma.f64 x -2 3) (.f64 4/3 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 4/3 -2) 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 -2 (pow.f64 x 3)) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 -2 (pow.f64 x 3) (.f64 -8/9 (pow.f64 x 5)))))
(fma.f64 3 (.f64 x x) (fma.f64 -8/9 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (.f64 4/3 (pow.f64 x 4)))))
(fma.f64 x (.f64 x (fma.f64 x -2 3)) (fma.f64 -8/9 (pow.f64 x 5) (.f64 4/3 (pow.f64 x 4))))
(fma.f64 x (.f64 x (fma.f64 x (fma.f64 x 4/3 -2) 3)) (.f64 -8/9 (pow.f64 x 5)))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(fma.f64 x 9/2 (+.f64 (/.f64 81/8 x) -27/4))
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 -27/4 (fma.f64 x 9/2 (/.f64 -243/16 (*.f64 x x)))))
(*.f64 9/2 x)
(*.f64 x 9/2)
(-.f64 (*.f64 9/2 x) 27/4)
(fma.f64 9/2 x -27/4)
(fma.f64 x 9/2 -27/4)
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) 27/4)
(+.f64 (fma.f64 9/2 x (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) -27/4)
(+.f64 (fma.f64 x 9/2 -27/4) (/.f64 81/8 x))
(fma.f64 x 9/2 (+.f64 (/.f64 81/8 x) -27/4))
(+.f64 (/.f64 81/8 x) (fma.f64 x 9/2 -27/4))
(-.f64 (+.f64 (.f64 9/2 x) (.f64 81/8 (/.f64 1 x))) (+.f64 27/4 (*.f64 243/16 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 9/2 x (/.f64 81/8 x)) (+.f64 27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 (/.f64 81/8 x)) (-.f64 -27/4 (/.f64 243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 (fma.f64 x 9/2 -27/4) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (fma.f64 x 9/2 -27/4) (+.f64 (/.f64 81/8 x) (/.f64 -243/16 (*.f64 x x))))
(+.f64 (/.f64 81/8 x) (+.f64 -27/4 (fma.f64 x 9/2 (/.f64 -243/16 (*.f64 x x)))))
9
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(*.f64 6 x)
(*.f64 x 6)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)
(+.f64 (*.f64 6 x) 9)
(fma.f64 6 x 9)
(fma.f64 x 6 9)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x (.f64 x -4)) (.f64 x x))
✓	4.3b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	0	(.f64 (.f64 x (.f64 x -4)) (.f64 x x))
1.0ms	x	@	0	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
0.0ms	x	@	inf	(.f64 (.f64 x (.f64 x -4)) (.f64 x x))
0.0ms	x	@	inf	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))

rewrite141.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
324×	`pow2_binary64`
276×	`pow-unpow_binary64`
229×	`pow1/3_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	264	21
2	3531	21

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 (.f64 x (.f64 x -4)) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 -4 (pow.f64 x 3)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -4)) (/.f64 1 (*.f64 (fma.f64 x 2 3) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -4)) (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x -4)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) -4) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (*.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (pow.f64 x 4) -4)) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 2 3)) (*.f64 (pow.f64 x 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (pow.f64 x 3)) (*.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 -4 (pow.f64 x 3)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) 1) (/.f64 (*.f64 x x) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 (*.f64 x (*.f64 x -4)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) (fma.f64 x 2 3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) 1) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 3)) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 -4 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (*.f64 x -4)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) -2) (/.f64 (*.f64 (pow.f64 x 4) -4) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (*.f64 x (*.f64 x (sqrt.f64 -4))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 -4 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -4)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (*.f64 x (*.f64 x -4)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 2 3) -1/2) (/.f64 (*.f64 (pow.f64 x 4) -4) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) 2) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -4)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -4 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (-.f64 9 (pow.f64 (+.f64 x x) 2))) (+.f64 3 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -4) 3) (pow.f64 (fma.f64 x 2 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 2 3) (*.f64 (pow.f64 x 4) -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x 4) -4) 3) (pow.f64 (fma.f64 x 2 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 x 4) -4) (fma.f64 x 2 3))) 1))))))

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

simplify163.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

665×	`*-commutative_binary64`
588×	`sqr-pow_binary64`
522×	`fma-def_binary64`
506×	`unswap-sqr_binary64`
440×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	274
1	104	274
2	252	266
3	730	250
4	2689	248
5	4557	248
6	5009	248
7	5416	248
8	5900	248
9	6456	248
10	7186	248

Stop Event

1×	node limit

Counts

104 → 96

Calls

Call 1

Inputs
(*.f64 -4/3 (pow.f64 x 4))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (.f64 -4/3 (pow.f64 x 4)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (*.f64 -16/27 (pow.f64 x 6))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (+.f64 (.f64 32/81 (pow.f64 x 7)) (.f64 -16/27 (pow.f64 x 6)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 -4 (pow.f64 x 4))

Outputs
(*.f64 -4/3 (pow.f64 x 4))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (.f64 -4/3 (pow.f64 x 4)))
(fma.f64 8/9 (pow.f64 x 5) (*.f64 -4/3 (pow.f64 x 4)))
(fma.f64 -4/3 (pow.f64 x 4) (*.f64 8/9 (pow.f64 x 5)))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 8/9 (pow.f64 x 5) (*.f64 -16/27 (pow.f64 x 6))))
(fma.f64 -4/3 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 (.f64 x -16/27) 8/9)))
(fma.f64 -4/3 (pow.f64 x 4) (.f64 (pow.f64 x 5) (+.f64 8/9 (.f64 x -16/27))))
(+.f64 (.f64 8/9 (pow.f64 x 5)) (+.f64 (.f64 -4/3 (pow.f64 x 4)) (+.f64 (.f64 32/81 (pow.f64 x 7)) (.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (fma.f64 32/81 (pow.f64 x 7) (*.f64 -16/27 (pow.f64 x 6)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -4/3 (pow.f64 x 4) (fma.f64 -16/27 (pow.f64 x 6) (*.f64 32/81 (pow.f64 x 7)))))
(fma.f64 8/9 (pow.f64 x 5) (fma.f64 -16/27 (pow.f64 x 6) (fma.f64 -4/3 (pow.f64 x 4) (*.f64 32/81 (pow.f64 x 7)))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 32/81 (pow.f64 x 7) (.f64 (pow.f64 x 5) (+.f64 (.f64 x -16/27) 8/9))))
(fma.f64 -4/3 (pow.f64 x 4) (fma.f64 32/81 (pow.f64 x 7) (.f64 (pow.f64 x 5) (+.f64 8/9 (.f64 x -16/27)))))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (+.f64 -9/2 (.f64 x 3))))
(.f64 x (+.f64 (.f64 x (fma.f64 x -2 3)) -9/2))
(.f64 x (+.f64 -9/2 (.f64 x (fma.f64 x -2 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))) 27/4))
(+.f64 (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))) (fma.f64 3 (.f64 x x) 27/4))
(fma.f64 x (*.f64 x 3) (fma.f64 x -9/2 (fma.f64 -2 (pow.f64 x 3) 27/4)))
(fma.f64 x -9/2 (fma.f64 x (*.f64 x (fma.f64 x -2 3)) 27/4))
(fma.f64 x -9/2 (fma.f64 (*.f64 x x) (fma.f64 x -2 3) 27/4))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x -2) 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))))
(fma.f64 3 (.f64 x x) (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))))
(fma.f64 -2 (pow.f64 x 3) (.f64 x (+.f64 -9/2 (.f64 x 3))))
(.f64 x (+.f64 (.f64 x (fma.f64 x -2 3)) -9/2))
(.f64 x (+.f64 -9/2 (.f64 x (fma.f64 x -2 3))))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 27/4 (+.f64 (.f64 -9/2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 3 (.f64 x x) (+.f64 (fma.f64 -9/2 x (.f64 -2 (pow.f64 x 3))) 27/4))
(+.f64 (fma.f64 x -9/2 (.f64 -2 (pow.f64 x 3))) (fma.f64 3 (.f64 x x) 27/4))
(fma.f64 x (*.f64 x 3) (fma.f64 x -9/2 (fma.f64 -2 (pow.f64 x 3) 27/4)))
(fma.f64 x -9/2 (fma.f64 x (*.f64 x (fma.f64 x -2 3)) 27/4))
(fma.f64 x -9/2 (fma.f64 (*.f64 x x) (fma.f64 x -2 3) 27/4))
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)
(*.f64 -4 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -4)

localize212.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x -4)) 9)
✓	0.1b	(.f64 x (+.f64 (.f64 x (*.f64 x -4)) 9))
✓	0.2b	(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))
✓	4.3b	(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))

Compiler

Compiled 82 to 58 computations (29.3% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 x (+.f64 (.f64 x (*.f64 x -4)) 9))
1.0ms	x	@	0	(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	inf	(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	-inf	(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
1.0ms	x	@	0	(.f64 x (+.f64 (.f64 x (*.f64 x -4)) 9))

rewrite190.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`log-prod_binary64`
502×	`prod-diff_binary64`
362×	`fma-def_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	367	54
2	4760	54

Stop Event

1×	node limit

Counts

4 → 214

Calls

Call 1

Inputs
(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
(.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))
(.f64 x (+.f64 (.f64 x (*.f64 x -4)) 9))
(+.f64 (.f64 x (.f64 x -4)) 9)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x)))) (cbrt.f64 (exp.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (.f64 x (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9))) (/.f64 1 (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 (fma.f64 -4 (.f64 x x) 9) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9)))) 2) (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9)))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))) 2) (cbrt.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) (.f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) (/.f64 1 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x 2 3)) (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) 1) (/.f64 x (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) 1) (/.f64 (fma.f64 -4 (.f64 x x) 9) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9)))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) 1) (/.f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) (fma.f64 x 2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (fma.f64 -4 (.f64 x x) 9) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9)))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (cbrt.f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (/.f64 (fma.f64 x 2 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) (pow.f64 (cbrt.f64 (fma.f64 x 2 3)) 2)) (/.f64 (.f64 x (sqrt.f64 (fma.f64 -4 (.f64 x x) 9))) (cbrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (fma.f64 -4 (.f64 x x) 9)) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 x (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (fma.f64 -4 (.f64 x x) 9) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9)))) 2) (sqrt.f64 (fma.f64 x 2 3))) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9)))) (sqrt.f64 (fma.f64 x 2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9))) (fma.f64 (pow.f64 x 3) 8 27)) (fma.f64 (+.f64 x x) (fma.f64 x 2 -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (.f64 x (fma.f64 -4 (.f64 x x) 9))) (-.f64 9 (.f64 (.f64 x x) 4))) (+.f64 3 (.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) 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(.f64 (pow.f64 x 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) -4) 1 (.f64 (.f64 x 9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 3) -4)) (cbrt.f64 (.f64 (pow.f64 x 3) -4))) (cbrt.f64 (.f64 (pow.f64 x 3) -4)) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 x 9)) (cbrt.f64 (.f64 x 9))) (cbrt.f64 (.f64 x 9)) (.f64 (pow.f64 x 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (pow.f64 x 3) -4)) (sqrt.f64 (.f64 (pow.f64 x 3) -4)) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 9)) (sqrt.f64 (.f64 x 9)) (.f64 (pow.f64 x 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 -4))) (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 -4))) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x (sqrt.f64 -4)) (sqrt.f64 x)) (.f64 (.f64 x (sqrt.f64 -4)) (sqrt.f64 x)) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 -4 (.f64 x x))) 2)) (cbrt.f64 (.f64 -4 (.f64 x x))) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 x (sqrt.f64 -4))) (.f64 x (sqrt.f64 -4)) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -4 (.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -4 (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 x 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (pow.f64 x 3) -4))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4 (.f64 x x) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) (fma.f64 x (.f64 x -4) -9)) (/.f64 81 (fma.f64 x (.f64 x -4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -4 (.f64 x x) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -4 (.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -4 (.f64 x x) 9)) (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 x x) 9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 x x) 9) 2)) (cbrt.f64 (fma.f64 -4 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -4 (.f64 x x) 9)) (sqrt.f64 (fma.f64 -4 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (.f64 x x) 3) -64 729) (/.f64 1 (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) (-.f64 81 (.f64 (.f64 x x) -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) -81) (/.f64 1 (fma.f64 x (.f64 x -4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) (-.f64 81 (.f64 (.f64 x x) -36))) (fma.f64 (pow.f64 (.f64 x x) 3) -64 729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (.f64 x -4) -9) (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) -81)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 x x) 3) -64 729) (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) (-.f64 81 (.f64 (.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 x x) 3) -64 729) (+.f64 81 (-.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) (.f64 (.f64 x x) -36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) -81) (fma.f64 x (.f64 x -4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) -64 729)) (neg.f64 (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) (-.f64 81 (.f64 (.f64 x x) -36)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -4 (.f64 x x)) 2) -81)) (neg.f64 (fma.f64 x (.f64 x -4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (pow.f64 (.f64 -4 (.f64 x x)) 2)) (-.f64 9 (.f64 -4 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4 (.f64 x x) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4 (.f64 x x) 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4 (.f64 x x) 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4 (.f64 x x) 9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4 (.f64 x x) 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4 (.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 x x) 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4 (.f64 x x) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -4 (.f64 x x) 9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x -4) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (.f64 x x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -4) x 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -4 (.f64 x x)) 1 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -4 (.f64 x x)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) -4 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -4 (.f64 x x))) (pow.f64 (cbrt.f64 (.f64 -4 (.f64 x x))) 2) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -4 (.f64 x x))) 2) (cbrt.f64 (.f64 -4 (.f64 x x))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 x x) 16)) (.f64 (cbrt.f64 (.f64 x -4)) x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 -4)) (.f64 x (sqrt.f64 -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -4)) (.f64 (sqrt.f64 (.f64 x -4)) x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (.f64 (.f64 x x) 16))) (cbrt.f64 (.f64 x -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (.f64 x -4))) (sqrt.f64 (.f64 x -4)) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x -4) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x -4) (sqrt.f64 x)) (sqrt.f64 x) 9)))))

simplify245.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

957×	`sqr-pow_binary64`
803×	`unswap-sqr_binary64`
542×	`cube-prod_binary64`
460×	`fabs-mul_binary64`
386×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	516
1	50	498
2	109	489
3	278	471
4	890	471
5	1580	471
6	3059	471
7	3178	471
8	3351	471
9	3563	471
10	3846	471
11	4220	471
12	4670	471
13	5223	471
14	5915	471
15	6374	471
16	6685	471
17	6957	471
18	7175	471
19	7369	471

Stop Event

1×	node limit

Counts

262 → 234

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(*.f64 9 (pow.f64 x 2))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(*.f64 9 x)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(*.f64 -4 (pow.f64 x 3))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(*.f64 -4 (pow.f64 x 3))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(*.f64 -4 (pow.f64 x 2))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))

Outputs
(*.f64 3 (pow.f64 x 2))
(.f64 3 (.f64 x x))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 -2 (pow.f64 x 3))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 3)))
(fma.f64 3 (.f64 x x) (.f64 -2 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(*.f64 9 (pow.f64 x 2))
(.f64 (.f64 x x) 9)
(.f64 x (.f64 x 9))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 -4 (pow.f64 x 4))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(+.f64 (.f64 9 (pow.f64 x 2)) (.f64 -4 (pow.f64 x 4)))
(fma.f64 9 (.f64 x x) (.f64 -4 (pow.f64 x 4)))
(fma.f64 (.f64 x x) 9 (.f64 -4 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -4 9))
(.f64 x (.f64 x (fma.f64 x (*.f64 x -4) 9)))
(*.f64 9 x)
(*.f64 x 9)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(*.f64 -4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -4)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(*.f64 -4 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -4)
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
(+.f64 (.f64 -4 (pow.f64 x 3)) (.f64 9 x))
(fma.f64 -4 (pow.f64 x 3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (pow.f64 x 3) -4))
(.f64 x (fma.f64 (.f64 x x) -4 9))
(.f64 x (fma.f64 x (.f64 x -4) 9))
9
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(*.f64 -4 (pow.f64 x 2))
(.f64 (.f64 x x) -4)
(.f64 x (.f64 x -4))
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)
(+.f64 9 (*.f64 -4 (pow.f64 x 2)))
(+.f64 9 (.f64 (.f64 x x) -4))
(fma.f64 (*.f64 x x) -4 9)
(fma.f64 x (*.f64 x -4) 9)

eval790.0ms (8.8%)

Compiler: Compiled 13902 to 10000 computations (28.1% saved)

prune260.0ms (2.9%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	714	7	721
Fresh	3	3	6
Picked	0	1	1
Done	3	7	10
Total	720	18	738

Error

Counts

738 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	61.4b	27/4
	16.3b	(.f64 (fma.f64 (.f64 x x) -4 9) (.f64 1/3 (.f64 x x)))
✓	30.2b	(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
✓	25.8b	(.f64 x (.f64 x (*.f64 x -2)))
	16.3b	(/.f64 (.f64 x (.f64 x 27)) 9)
✓	0.2b	(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
	30.1b	(/.f64 (+.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -4))))) (+.f64 3 (*.f64 x 2)))
✓	16.3b	(.f64 3 (.f64 x x))
	16.0b	(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
✓	16.3b	(.f64 x (.f64 3 x))
	61.1b	(*.f64 x 9/2)
	16.0b	(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
	62.0b	(/.f64 -81/8 x)
	25.7b	(*.f64 (pow.f64 x 3) -2)
	16.3b	(.f64 9 (/.f64 1 (/.f64 (fma.f64 x 2 3) (.f64 x x))))
✓	4.7b	(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
✓	0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
✓	0.2b	(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))

Compiler

Compiled 186 to 132 computations (29% saved)

regimes93.0ms (1%)

Counts

35 → 1

Calls

Call 1

Inputs
27/4
(*.f64 x 9/2)
(/.f64 -81/8 x)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -4))))) (+.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
(*.f64 (pow.f64 x 3) -2)
(*.f64 -2 (pow.f64 x 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (fma.f64 (.f64 x x) -4 9) (.f64 1/3 (.f64 x x)))
(.f64 9 (/.f64 1 (/.f64 (fma.f64 x 2 3) (.f64 x x))))
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
(/.f64 (+.f64 0 (.f64 x (.f64 x (fma.f64 (.f64 x x) -4 9)))) (+.f64 3 (.f64 x 2)))
(/.f64 (.f64 (-.f64 27 (.f64 8 (pow.f64 x 3))) (.f64 x x)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (.f64 6 x))))
(pow.f64 (.f64 x (sqrt.f64 (+.f64 3 (.f64 x -2)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))) 3)
(+.f64 0 (/.f64 x (*.f64 1/27 (/.f64 (fma.f64 x (fma.f64 x 4 6) 9) x))))
(.f64 (fma.f64 (.f64 x x) -4 9) (.f64 (.f64 x x) (/.f64 1 (fma.f64 x 2 3))))
(.f64 (fma.f64 (.f64 x x) -4 9) (/.f64 1 (/.f64 (fma.f64 x 2 3) (*.f64 x x))))
(.f64 x (pow.f64 (sqrt.f64 (.f64 x (fma.f64 x -2 3))) 2))

Outputs
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))

Calls

3 calls:

38.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
33.0ms	x
11.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 407 to 266 computations (34.6% saved)

regimes56.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

Inputs
27/4
(*.f64 x 9/2)
(/.f64 -81/8 x)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -4))))) (+.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
(*.f64 (pow.f64 x 3) -2)
(*.f64 -2 (pow.f64 x 3))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 (fma.f64 (.f64 x x) -4 9) (.f64 1/3 (.f64 x x)))
(.f64 9 (/.f64 1 (/.f64 (fma.f64 x 2 3) (.f64 x x))))

Outputs
(.f64 x (.f64 x (fma.f64 x -2 3)))

Calls

3 calls:

25.0ms	x
13.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
10.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 272 to 179 computations (34.2% saved)

regimes138.0ms (1.5%)

Counts

23 → 1

Calls

Call 1

Inputs
27/4
(*.f64 x 9/2)
(/.f64 -81/8 x)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x 9))) (+.f64 3 (*.f64 x 2)))
(+.f64 (.f64 (.f64 x x) (.f64 x -2)) (.f64 (*.f64 x x) 3))
(/.f64 (.f64 (.f64 x (.f64 x -4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x (.f64 x (.f64 x -4))))) (+.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (+.f64 (.f64 (.f64 x x) 4) (*.f64 6 x))))
(/.f64 (.f64 (-.f64 9 (.f64 (.f64 x x) 4)) (.f64 x x)) (+.f64 3 (*.f64 x 2)))
(/.f64 (+.f64 0 (.f64 x (.f64 x (+.f64 (.f64 x (.f64 x -4)) 9)))) (+.f64 3 (*.f64 x 2)))
(*.f64 (pow.f64 x 3) -2)
(*.f64 -2 (pow.f64 x 3))

Outputs
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))

Calls

3 calls:

62.0ms	x
17.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
14.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 240 to 160 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
27/4
(*.f64 x 9/2)
(/.f64 -81/8 x)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(/.f64 (.f64 x (.f64 x 27)) (+.f64 9 (*.f64 x 6)))
(/.f64 (.f64 9 (.f64 x x)) (+.f64 3 (*.f64 x 2)))

Outputs
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Calls

2 calls:

14.0ms	x
12.0ms	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))`

Compiler

Compiled 85 to 56 computations (34.1% saved)

regimes54.0ms (0.6%)

Counts

9 → 3

Calls

Call 1

Inputs
27/4
(*.f64 x 9/2)
(/.f64 -81/8 x)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)
(.f64 x (.f64 x (*.f64 x -2)))

Outputs
(.f64 x (.f64 x (*.f64 x -2)))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x (*.f64 x -2)))

Calls

1 calls:

50.0ms

Results

Error	Segments	Branch
2.3b	3	`x`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch70.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	7.357464671497419e-7	84.31664712562629
28.0ms	-92188411.42310919	-0.0032733772091323274

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
27/4
(*.f64 x 9/2)
(/.f64 -81/8 x)
(+.f64 27/4 (/.f64 -81/8 x))
(.f64 x (.f64 3 x))
(.f64 x (.f64 3 x))
(.f64 3 (.f64 x x))
(/.f64 (.f64 x (.f64 x 27)) 9)

Outputs
(.f64 x (.f64 3 x))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
16.3b	1	`x`

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.9b remaining (-3%)

Threshold costs -1.9b (-3%)

Counts

4 → 1

Calls

Call 1

Inputs
27/4
(*.f64 x 9/2)
(/.f64 -81/8 x)
(+.f64 27/4 (/.f64 -81/8 x))

Outputs
(*.f64 x 9/2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
61.1b	1	`x`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`
8×	`+-commutative_binary64`
7×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	108
1	50	108
2	60	108
3	72	108
4	97	108
5	111	108
6	117	108
7	119	108

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(if (<=.f64 x -6186659564569481/67108864) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(*.f64 x 9/2)
27/4

Outputs
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x -2) (.f64 x x)))
(fma.f64 (.f64 x x) 3 (.f64 (.f64 x x) (.f64 x -2)))
(.f64 x (.f64 x (fma.f64 x -2 3)))
(.f64 x (+.f64 (.f64 (.f64 x -2) x) (.f64 3 x)))
(.f64 x (+.f64 (.f64 x 3) (.f64 x (.f64 x -2))))
(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))
(.f64 (.f64 x x) (+.f64 3 (*.f64 x -2)))
(if (<=.f64 x -6186659564569481/67108864) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (.f64 x (.f64 3 x)) (.f64 x (.f64 x (.f64 x -2)))))
(if (<=.f64 x -6186659564569481/67108864) (.f64 x (.f64 x (.f64 x -2))) (if (<=.f64 x 6948928912715387/9444732965739290427392) (.f64 x (.f64 x 3)) (.f64 x (.f64 x (.f64 x -2)))))
(.f64 x (.f64 3 x))
(.f64 x (.f64 x 3))
(*.f64 x 9/2)
27/4

Compiler

Compiled 84 to 55 computations (34.5% saved)

soundness326.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1486×	`fma-def_binary64`
783×	`fma-neg_binary64`
357×	`associate-l_binary64`
315×	`distribute-rgt-neg-in_binary64`
295×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	45	11
3	116	11
4	241	11
5	320	11
6	475	11
7	807	11
8	1700	11
9	2569	11
10	3484	11
11	4668	11
12	5593	11
13	6032	11
14	6263	11
15	6564	11
16	7678	11

Stop Event

1×	node limit

Compiler

Compiled 83 to 59 computations (28.9% saved)

end63.0ms (0.7%)

Compiler: Compiled 77 to 47 computations (39% saved)