Details

analyze76.0ms (3.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
38.1%	25%	40.6%	0.1%	34.3%	0%	0%	7
43.2%	25%	32.8%	0.1%	42.1%	0%	0%	8
51.6%	25%	23.4%	0.1%	51.5%	0%	0%	9
61%	28.1%	18%	0.1%	53.9%	0%	0%	10
73.3%	31.6%	11.5%	0.1%	56.8%	0%	0%	11
79%	33.4%	8.9%	0.1%	57.7%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.6s (74.7%)

Results

1.5s	8256×	body	256	valid
78.0ms	636×	body	256	infinite

Bogosity

preprocess50.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

574×	`distribute-neg-in_binary64`
540×	`unswap-sqr_binary64`
524×	`distribute-rgt-in_binary64`
490×	`distribute-lft-in_binary64`
350×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	18	20
2	51	20
3	123	20
4	371	20
5	1626	20
6	5315	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (pow.f64 x 4))

Outputs
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(-.f64 (pow.f64 y 4) (pow.f64 x 4))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify43.0ms (2%)

Algorithm

1×	egg-herbie

Rules

644×	`distribute-rgt-neg-in_binary64`
556×	`distribute-lft-neg-in_binary64`
432×	`unswap-sqr_binary64`
377×	`fma-def_binary64`
270×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	37	10
3	82	10
4	235	10
5	936	10
6	2929	10
7	5260	10

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Outputs
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 4)

Compiler

Compiled 18 to 12 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 x 4)
1.0ms	x	@	inf	(pow.f64 x 4)
1.0ms	x	@	0	(pow.f64 x 4)

rewrite40.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

330×	`pow1_binary64`
319×	`add-sqr-sqrt_binary64`
312×	`*-un-lft-identity_binary64`
308×	`add-log-exp_binary64`
308×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	85	4
2	894	4

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(pow.f64 x 4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 8) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (pow.f64 x 3/2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3/2) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 16))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 5) (.f64 (cbrt.f64 x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 x) 5) (pow.f64 (cbrt.f64 x) 5)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 5)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 10) 1/3) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 8) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 3/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 16))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 5) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 5) (pow.f64 (cbrt.f64 x) 5)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 5)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 10) 1/3) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) 3))))))

simplify40.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

511×	`times-frac_binary64`
505×	`associate-*l/_binary64`
384×	`associate-/l*_binary64`
354×	`fma-def_binary64`
299×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	528
1	271	342
2	831	333
3	3097	333

Stop Event

1×	node limit

Counts

40 → 61

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 0 (pow.f64 x 4))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (pow.f64 x 4)) 1)
(*.f64 x (pow.f64 x 3))
(*.f64 (pow.f64 x 4) 1)
(*.f64 1 (pow.f64 x 4))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 (pow.f64 x 3) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 8)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 8))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 8) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 8) (cbrt.f64 (pow.f64 x 4)))
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x 3/2) (*.f64 x x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 5/2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 8)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 16))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (cbrt.f64 x) 5) (.f64 (cbrt.f64 x) (*.f64 x x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 5) (pow.f64 (cbrt.f64 x) 5)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 5)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (pow.f64 x 10) 1/3) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 4)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))
(sqrt.f64 (pow.f64 x 8))
(fabs.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 x 12))
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(exp.f64 (log.f64 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) 3))

Outputs
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(+.f64 0 (pow.f64 x 4))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x 4)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(-.f64 (+.f64 1 (pow.f64 x 4)) 1)
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(*.f64 x (pow.f64 x 3))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(*.f64 (pow.f64 x 4) 1)
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(*.f64 1 (pow.f64 x 4))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (.f64 x x) (*.f64 x x))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(*.f64 (pow.f64 x 3) x)
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 8)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 8))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 8) 1))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(*.f64 (pow.f64 (cbrt.f64 x) 8) (cbrt.f64 (pow.f64 x 4)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (sqrt.f64 x) (.f64 (pow.f64 x 3/2) (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (*.f64 x x) (pow.f64 x 3/2)))
(.f64 (sqrt.f64 x) (.f64 x (pow.f64 x 5/2)))
(*.f64 (sqrt.f64 x) (pow.f64 x 7/2))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 5/2))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 8)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (.f64 (pow.f64 (cbrt.f64 x) 8) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(.f64 (pow.f64 (cbrt.f64 x) 8) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(.f64 (pow.f64 (cbrt.f64 x) 8) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 16))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 16))) (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 8))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 x 16)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 16))) (*.f64 x (cbrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 5) (.f64 (cbrt.f64 x) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 5) (pow.f64 (cbrt.f64 x) 5)) (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 8) (pow.f64 x 8))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 x) 20))))
(*.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 10)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 5)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 5)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (pow.f64 x 4)) 5/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (.f64 x (cbrt.f64 x)) 5/2))
(*.f64 (pow.f64 1 1/3) (pow.f64 x 4))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 2) (pow.f64 (cbrt.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(.f64 (pow.f64 (.f64 (pow.f64 x 8) (pow.f64 (cbrt.f64 x) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 8) (pow.f64 x 8))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 x) 20))))
(*.f64 (pow.f64 (pow.f64 x 10) 1/3) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 10)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 4)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) -1) (fma.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 1 (pow.f64 x 4)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3)) (fma.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4)) (+.f64 (pow.f64 x 4) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 (pow.f64 x 4) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(sqrt.f64 (pow.f64 x 8))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(fabs.f64 (pow.f64 x 4))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(log.f64 (exp.f64 (pow.f64 x 4)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(cbrt.f64 (pow.f64 x 12))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(exp.f64 (log.f64 (pow.f64 x 4)))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(exp.f64 (.f64 (log.f64 (.f64 x x)) 2))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) 3))
(+.f64 1 (-.f64 (pow.f64 x 4) 1))
(pow.f64 x 4)

eval22.0ms (1%)

Compiler: Compiled 931 to 675 computations (27.5% saved)

prune11.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Error

Counts

62 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
▶	0.1b	(-.f64 (*.f64 (pow.f64 x 3) x) (pow.f64 y 4))
▶	0.1b	(-.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 y 4))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 10 computations (65.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`pow1_binary64`
312×	`add-sqr-sqrt_binary64`
306×	`*-un-lft-identity_binary64`
304×	`add-log-exp_binary64`
304×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	81	4
2	969	4

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(.f64 (.f64 x x) (*.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (.f64 4 (log.f64 x)))) (sqrt.f64 (.f64 4 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 4 (log.f64 x))) 2)) (cbrt.f64 (.f64 4 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 x))) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 x 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 4 (log.f64 x)))) (sqrt.f64 (*.f64 4 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 4 (log.f64 x))) 2)) (cbrt.f64 (*.f64 4 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 x))) 3))))))

simplify38.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
436×	`fma-neg_binary64`
330×	`distribute-rgt-out_binary64`
324×	`log-prod_binary64`
268×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	285
1	218	270
2	602	266
3	3039	266

Stop Event

1×	node limit

Counts

44 → 42

Calls

Call 1

Inputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(+.f64 0 (pow.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (pow.f64 x 4)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 4)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 (pow.f64 x 6) 2/3)
(pow.f64 (pow.f64 x 3) 4/3)
(pow.f64 (pow.f64 x 8) 1/2)
(pow.f64 (pow.f64 x 12) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(pow.f64 (cbrt.f64 x) 12)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 6)
(pow.f64 (sqrt.f64 x) 8)
(pow.f64 (E.f64) (*.f64 4 (log.f64 x)))
(pow.f64 (exp.f64 2) (*.f64 (log.f64 x) 2))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 4 (log.f64 x)))) (sqrt.f64 (.f64 4 (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 4 (log.f64 x))) 2)) (cbrt.f64 (.f64 4 (log.f64 x))))
(sqrt.f64 (pow.f64 x 8))
(fabs.f64 (pow.f64 x 4))
(log.f64 (exp.f64 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 x 12))
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(exp.f64 (*.f64 4 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 4))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 x))) 3))

Outputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(+.f64 (+.f64 1 (pow.f64 x 4)) -1)
(pow.f64 x 4)
(+.f64 0 (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))) 3)
(-.f64 (+.f64 1 (pow.f64 x 4)) 1)
(pow.f64 x 4)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 3) 1) (+.f64 (.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 (+.f64 1 (pow.f64 x 4)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 x 4) 1) 3) -1) (fma.f64 (+.f64 (pow.f64 x 4) 1) (+.f64 (pow.f64 x 4) 1) (+.f64 1 (+.f64 (pow.f64 x 4) 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x 4) 1) 3)) (fma.f64 (+.f64 (pow.f64 x 4) 1) (+.f64 (pow.f64 x 4) 1) (+.f64 (pow.f64 x 4) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (pow.f64 x 4) 1) 3)) (+.f64 1 (*.f64 (+.f64 (pow.f64 x 4) 1) (+.f64 (pow.f64 x 4) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))) 1) (+.f64 (+.f64 1 (pow.f64 x 4)) 1))
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 6) 2/3)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 3) 4/3)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 8) 1/2)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 12) 1/3)
(pow.f64 x 4)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(pow.f64 x 4)
(pow.f64 (cbrt.f64 x) 12)
(pow.f64 x 4)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 6)
(pow.f64 x 4)
(pow.f64 (sqrt.f64 x) 8)
(pow.f64 x 4)
(pow.f64 (E.f64) (*.f64 4 (log.f64 x)))
(pow.f64 x 4)
(pow.f64 (exp.f64 2) (*.f64 (log.f64 x) 2))
(pow.f64 (exp.f64 2) (*.f64 2 (log.f64 x)))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 x x)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 4 (log.f64 x)))) (sqrt.f64 (.f64 4 (log.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 4 (log.f64 x))) 2)) (cbrt.f64 (.f64 4 (log.f64 x))))
(sqrt.f64 (pow.f64 x 8))
(pow.f64 x 4)
(fabs.f64 (pow.f64 x 4))
(pow.f64 x 4)
(log.f64 (exp.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(cbrt.f64 (pow.f64 x 12))
(pow.f64 x 4)
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(exp.f64 (*.f64 4 (log.f64 x)))
(pow.f64 x 4)
(exp.f64 (*.f64 (log.f64 x) 4))
(pow.f64 x 4)
(exp.f64 (*.f64 (log.f64 (pow.f64 x 12)) 1/3))
(pow.f64 x 4)
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 x))) 3))
(pow.f64 x 4)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 3) x)

Compiler

Compiled 26 to 17 computations (34.6% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

427×	`pow1_binary64`
416×	`add-sqr-sqrt_binary64`
404×	`*-un-lft-identity_binary64`
403×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	111	4
2	1180	4

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify36.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
504×	`distribute-rgt-in_binary64`
450×	`distribute-lft-in_binary64`
312×	`fma-neg_binary64`
289×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	136
1	88	129
2	258	117
3	1656	117
4	6316	117

Stop Event

1×	node limit

Counts

27 → 18

Calls

Call 1

Inputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(+.f64 0 (pow.f64 x 4))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) (cbrt.f64 (exp.f64 (pow.f64 x 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (pow.f64 x 4)) 1)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 (pow.f64 (pow.f64 x 4) 3) 1/3)
(pow.f64 (*.f64 x x) 2)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(sqrt.f64 (pow.f64 x 8))
(log.f64 (exp.f64 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (pow.f64 x 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(exp.f64 (*.f64 (log.f64 x) 4))

Outputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(+.f64 0 (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 4)))))
(pow.f64 x 4)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))) (cbrt.f64 (exp.f64 (pow.f64 x 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 4)))) 3)
(-.f64 (+.f64 1 (pow.f64 x 4)) 1)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 x 4)
(pow.f64 (pow.f64 (pow.f64 x 4) 3) 1/3)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 x 4)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(pow.f64 x 4)
(sqrt.f64 (pow.f64 x 8))
(pow.f64 x 4)
(log.f64 (exp.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(cbrt.f64 (pow.f64 (pow.f64 x 4) 3))
(pow.f64 x 4)
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(pow.f64 x 4)
(exp.f64 (*.f64 (log.f64 x) 4))
(pow.f64 x 4)

eval19.0ms (0.9%)

Compiler: Compiled 754 to 589 computations (21.9% saved)

prune11.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Error

Counts

63 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
✓	0.1b	(-.f64 (*.f64 (pow.f64 x 3) x) (pow.f64 y 4))
✓	0.1b	(-.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 y 4))

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes18.0ms (0.8%)

Accuracy

Total -0.1b remaining (-3800%)

Threshold costs -0.1b (-3800%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 y 4))
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(-.f64 (*.f64 (pow.f64 x 3) x) (pow.f64 y 4))

Outputs
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Calls

5 calls:

5.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
3.0ms	y
3.0ms	x
2.0ms	(pow.f64 y 4)
2.0ms	(pow.f64 x 4)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(-.f64 (pow.f64 x 4) (pow.f64 y 4))`
0.0b	1	`(pow.f64 x 4)`
0.0b	1	`(pow.f64 y 4)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	13	26
2	19	26
3	21	26
4	22	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(-.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 y 4))

Outputs
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
(-.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 y 4))

Compiler

Compiled 22 to 14 computations (36.4% saved)

soundness0.0ms (0%)

end24.0ms (1.1%)

Compiler: Compiled 20 to 12 computations (40% saved)

Details

analyze76.0ms (3.5%)

sample1.6s (74.7%)

preprocess50.0ms (2.3%)

simplify43.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite40.0ms (1.9%)

simplify40.0ms (1.9%)

eval22.0ms (1%)

prune11.0ms (0.5%)

localize11.0ms (0.5%)

series1.0ms (0%)

rewrite36.0ms (1.7%)

simplify38.0ms (1.8%)

localize11.0ms (0.5%)

series3.0ms (0.1%)

rewrite36.0ms (1.7%)

simplify36.0ms (1.7%)

eval19.0ms (0.9%)

prune11.0ms (0.5%)

regimes18.0ms (0.8%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end24.0ms (1.1%)

Profiling