Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample802.0ms (17.4%)

Results

791.0ms

8256×

body

256

valid

preprocess98.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

597×	`unsub-neg_binary64`
579×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
442×	`distribute-neg-in_binary64`
409×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	21	10
3	32	10
4	49	10
5	77	8
6	131	8
7	335	8
8	686	8
9	1461	8
10	2785	8
11	4171	8
12	5107	8
13	5419	8
14	5722	8
15	5818	8
16	5896	8
17	6164	8
18	7110	8
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 10 (-.f64 1 (*.f64 x x)))

Outputs
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

597×	`unsub-neg_binary64`
579×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
442×	`distribute-neg-in_binary64`
409×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	21	10
3	32	10
4	49	10
5	77	8
6	131	8
7	335	8
8	686	8
9	1461	8
10	2785	8
11	4171	8
12	5107	8
13	5419	8
14	5722	8
15	5818	8
16	5896	8
17	6164	8
18	7110	8

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 10 (-.f64 1 (*.f64 x x)))

Outputs
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 -10 (fma.f64 x x -1))

eval1.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% 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

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 -10 (fma.f64 x x -1))
▶	7.6b	(/.f64 10 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.7b	(-.f64 1 (*.f64 x x))
	0.3b	(/.f64 10 (-.f64 1 (*.f64 x x)))
✓	0.3b	(/.f64 10 (-.f64 1 (*.f64 x x)))
✓	7.7b	(-.f64 1 (*.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 10 (-.f64 1 (*.f64 x x)))
1.0ms	x	@	0	(-.f64 1 (*.f64 x x))
1.0ms	x	@	inf	(-.f64 1 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 10 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 10 (-.f64 1 (*.f64 x x)))

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`pow1_binary64`
694×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
681×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	1917	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(-.f64 1 (*.f64 x x))
(/.f64 10 (-.f64 1 (*.f64 x x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) (cbrt.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 x (neg.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 10 (-.f64 1 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 10 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 10 (/.f64 1 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 10 (-.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))) 2) (cbrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))) (sqrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -10 (/.f64 1 (neg.f64 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 10 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 10 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (-.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/10 (/.f64 (.f64 x x) 10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (-.f64 1 (.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 10 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 10 (-.f64 1 (.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 10 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 10 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 10 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 10 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2) (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/10 (/.f64 (*.f64 x x) 10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 10 (-.f64 1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))))

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
364×	`distribute-neg-frac_binary64`
261×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	320
1	117	286
2	354	282
3	1193	279
4	4888	276

Stop Event

1×	node limit

Counts

74 → 70

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(fma.f64 x (*.f64 x 10) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (pow.f64 x 8)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (*.f64 x x)))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (pow.f64 x 8)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (*.f64 x x)))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 -10 (fma.f64 x x -1))
0.0ms	x	@	0	(/.f64 -10 (fma.f64 x x -1))
0.0ms	x	@	-inf	(/.f64 -10 (fma.f64 x x -1))

rewrite60.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	122	8
2	1370	8

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 -10 (fma.f64 x x -1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 10 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
429×	`distribute-lft-out_binary64`
413×	`unswap-sqr_binary64`
354×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	226
1	112	210
2	338	206
3	1154	203
4	4782	200

Stop Event

1×	node limit

Counts

32 → 35

Calls

Call 1

Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))

Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 x (*.f64 10 x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8)))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 8)))))
(+.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8)))))

eval61.0ms (1.3%)

Compiler: Compiled 1239 to 893 computations (27.9% saved)

prune22.0ms (0.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	94	11	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	13	107

Error

0.0b

Counts

107 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	19.9b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	7.6b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	7.6b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
▶	7.6b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
▶	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
▶	60.6b	(/.f64 -10 (*.f64 x x))
	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	20.4b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
▶	21.2b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	57.8b	10
▶	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))

Compiler

Compiled 225 to 165 computations (26.7% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.3b	(/.f64 1 (fma.f64 x x -1))
✓	0.3b	(/.f64 1 (fma.f64 x x -1))
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))

Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x x -1))
0.0ms	x	@	0	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
0.0ms	x	@	0	(/.f64 1 (fma.f64 x x -1))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 x x -1))

rewrite103.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`pow1_binary64`
591×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
580×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	155	16
2	1641	16

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
(/.f64 1 (fma.f64 x x -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) -10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

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

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
397×	`sub-neg_binary64`
383×	`distribute-rgt-neg-in_binary64`
355×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	438
1	156	414
2	468	406
3	1561	406
4	5868	406

Stop Event

1×	node limit

Counts

60 → 66

Calls

Call 1

Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))

Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8))))
(-.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8))))
(-.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8))))
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -1 -1)
(-.f64 -1 (*.f64 x x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 4))) 1)
(+.f64 (.f64 -1 (+.f64 (.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 -1 (fma.f64 x x (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 6) (.f64 -1 (+.f64 (.f64 x x) (pow.f64 x 4)))) -1)
(fma.f64 (pow.f64 x 6) -1 (fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1))
(-.f64 (-.f64 -1 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6))
(-.f64 -1 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8)))))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 -10 (*.f64 x x))
✓	0.2b	(/.f64 -10 (*.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 -10 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 -10 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 -10 (*.f64 x x))

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`pow1_binary64`
491×	`add-sqr-sqrt_binary64`
470×	`add-log-exp_binary64`
470×	`log1p-expm1-u_binary64`
470×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1322	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 -10 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -10 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -10 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -10 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -10 (pow.f64 x -2))) (cbrt.f64 (/.f64 100 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 100 (pow.f64 x 4))) (cbrt.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -10) x) (/.f64 (sqrt.f64 -10) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -10 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -10 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -10 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -10) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -10) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -10 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -10 (pow.f64 x -2))))))))

simplify116.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/r*_binary64`
1106×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	11	84
2	20	84
3	35	84
4	75	84
5	209	84
6	754	84
7	1962	84
8	2128	84
9	2312	84
10	2520	84
11	2811	84
12	3202	84
13	3680	84
14	4241	84
15	4925	84
16	5758	84
17	6150	84
18	6438	84
19	6716	84
20	6794	84
21	6828	84

Stop Event

1×	node limit

Counts

33 → 23

Calls

Call 1

Inputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))

Outputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)

localize18.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
	0.4b	(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))
	0.3b	(-.f64 1 (*.f64 x (neg.f64 x)))
	0.3b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
✓	0.3b	(-.f64 1 (*.f64 x (neg.f64 x)))
✓	0.4b	(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))
✓	0.4b	(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
✓	6.7b	(-.f64 1 (.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))))

Compiler

Compiled 74 to 22 computations (70.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite70.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
826×	`add-log-exp_binary64`
825×	`log1p-expm1-u_binary64`
825×	`expm1-log1p-u_binary64`
107×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	67
1	210	31
2	3328	31

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

Inputs
(-.f64 1 (.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))
(-.f64 1 (*.f64 x (neg.f64 x)))

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-neg_binary64`
463×	`distribute-rgt-neg-in_binary64`
454×	`distribute-lft-neg-in_binary64`
421×	`fma-def_binary64`
352×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	308
1	28	254
2	57	254
3	134	254
4	397	254
5	1445	254
6	3070	254
7	4826	254
8	7729	254

Stop Event

1×	node limit

Counts

191 → 120

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(*.f64 -1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(*.f64 -1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (*.f64 -1 (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)
(pow.f64 x 4)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(*.f64 -1 (pow.f64 x 4))
(neg.f64 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(*.f64 -1 (pow.f64 x 4))
(neg.f64 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (pow.f64 x 4))
(+.f64 1 (*.f64 -1 (pow.f64 x 4)))
(+.f64 1 (neg.f64 (pow.f64 x 4)))
(-.f64 1 (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)
(pow.f64 x 4)
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(fma.f64 x (neg.f64 x) 1)
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)

localize19.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.2b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.0b	(log.f64 (/.f64 -10 (fma.f64 x x -1)))
✓	0.0b	(log.f64 (/.f64 -10 (fma.f64 x x -1)))
	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	1.2b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))

Compiler

Compiled 29 to 20 computations (31% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (/.f64 -10 (fma.f64 x x -1)))
1.0ms	x	@	inf	(log.f64 (/.f64 -10 (fma.f64 x x -1)))
0.0ms	x	@	-inf	(log.f64 (/.f64 -10 (fma.f64 x x -1)))
0.0ms	x	@	0	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
0.0ms	x	@	-inf	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`pow1_binary64`
582×	`add-log-exp_binary64`
582×	`log1p-expm1-u_binary64`
582×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	147	18
2	1567	18

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(log.f64 (/.f64 -10 (fma.f64 x x -1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 -10 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (neg.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x -1) -1/10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -10) (neg.f64 (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -10) (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 10) (log.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 -10) 3) (pow.f64 (log.f64 (fma.f64 x x -1)) 3)) (+.f64 (*.f64 (log.f64 -10) (log.f64 -10)) (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (fma.f64 x x -1))) (*.f64 (log.f64 -10) (log.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 -10) (log.f64 -10)) (*.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (fma.f64 x x -1)))) (+.f64 (log.f64 -10) (log.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -10 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))))

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

413×	`unswap-sqr_binary64`
358×	`distribute-neg-frac_binary64`
338×	`associate-l_binary64`
326×	`associate-/r*_binary64`
317×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	489
1	209	459
2	604	453
3	1901	453
4	5783	453

Stop Event

1×	node limit

Counts

80 → 94

Calls

Call 1

Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(log.f64 10)
(+.f64 (log.f64 10) (pow.f64 x 2))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x))))))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10)))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10))))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (log.f64 -10)))))

Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (-.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(log.f64 10)
(+.f64 (log.f64 10) (pow.f64 x 2))
(+.f64 (*.f64 x x) (log.f64 10))
(fma.f64 x x (log.f64 10))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 x x) (log.f64 10)) (.f64 (pow.f64 x 4) 1/2))
(+.f64 (log.f64 10) (fma.f64 x x (*.f64 (pow.f64 x 4) 1/2)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 1/2 (log.f64 10)))
(fma.f64 (pow.f64 x 4) 1/2 (fma.f64 x x (log.f64 10)))
(+.f64 (log.f64 10) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 10) (+.f64 (.f64 x x) (fma.f64 1/2 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/3))))
(+.f64 (fma.f64 x x (log.f64 10)) (fma.f64 (pow.f64 x 6) 1/3 (*.f64 (pow.f64 x 4) 1/2)))
(+.f64 (log.f64 10) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/3 (*.f64 (pow.f64 x 4) 1/2))))
(+.f64 (fma.f64 x x (log.f64 10)) (fma.f64 (pow.f64 x 4) 1/2 (*.f64 (pow.f64 x 6) 1/3)))
(+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -10) (*.f64 2 (neg.f64 (log.f64 x))))
(fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))
(+.f64 (log.f64 -10) (*.f64 (log.f64 x) -2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (log.f64 -10) (.f64 (log.f64 x) -2)))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x))))))
(+.f64 (+.f64 (/.f64 1 (.f64 x x)) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (/.f64 1/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (.f64 (log.f64 x) -2) (+.f64 (log.f64 -10) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (+.f64 (log.f64 -10) (.f64 (log.f64 x) -2)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))))
(+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1 (.f64 x x))) (+.f64 (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x)))) (/.f64 1/3 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)) (/.f64 1/3 (pow.f64 x 6))) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (log.f64 -10) (+.f64 (.f64 (log.f64 x) -2) (/.f64 1/3 (pow.f64 x 6))))))
(+.f64 (/.f64 1 (.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 -10) (.f64 (log.f64 x) -2)) (/.f64 1/3 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))
(fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10))
(+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10)))
(fma.f64 2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (log.f64 -10)))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10)))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (log.f64 -10))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (log.f64 -10))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (log.f64 -10)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (fma.f64 2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (log.f64 -10)))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (log.f64 -10) (/.f64 1/3 (pow.f64 x 6))))))
(+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10))) (/.f64 1/3 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (log.f64 -10) (/.f64 1/3 (pow.f64 x 6))) (fma.f64 2 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1/3 (pow.f64 x 6)) (fma.f64 2 (log.f64 (/.f64 -1 x)) (log.f64 -10)))))

localize18.0ms (0.4%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
✓	0.7b	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
1.0ms	x	@	inf	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)
1.0ms	x	@	inf	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
1.0ms	x	@	0	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)
0.0ms	x	@	-inf	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
699×	`add-log-exp_binary64`
699×	`log1p-expm1-u_binary64`
699×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	193	19
2	1939	19

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1000 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1000 (/.f64 1 (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3/2) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) 3) (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3) (pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) -10) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) 1) (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (fma.f64 x x -1) 3) -1000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1000 (pow.f64 (neg.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1000 (neg.f64 (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -10 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2)) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 10 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2)) (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) -10) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) 1) (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) 10) (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) 1/3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (neg.f64 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x -1) -1/10) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

723×	`associate-/r*_binary64`
704×	`fma-neg_binary64`
542×	`associate-r_binary64`
405×	`sub-neg_binary64`
378×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	524
1	179	490
2	551	475
3	1976	469
4	7643	469

Stop Event

1×	node limit

Counts

89 → 95

Calls

Call 1

Inputs
1000
(+.f64 1000 (*.f64 3000 (pow.f64 x 2)))
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (.f64 3000 (pow.f64 x 2))))
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (+.f64 (.f64 10000 (pow.f64 x 6)) (*.f64 3000 (pow.f64 x 2)))))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))
(*.f64 -1 (cbrt.f64 -1000))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 6))) (+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))

Outputs
1000
(+.f64 1000 (*.f64 3000 (pow.f64 x 2)))
(+.f64 1000 (.f64 3000 (.f64 x x)))
(fma.f64 3000 (*.f64 x x) 1000)
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (.f64 3000 (pow.f64 x 2))))
(fma.f64 6000 (pow.f64 x 4) (+.f64 1000 (.f64 3000 (.f64 x x))))
(fma.f64 6000 (pow.f64 x 4) (fma.f64 3000 (*.f64 x x) 1000))
(fma.f64 3000 (*.f64 x x) (fma.f64 6000 (pow.f64 x 4) 1000))
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (+.f64 (.f64 10000 (pow.f64 x 6)) (*.f64 3000 (pow.f64 x 2)))))
(fma.f64 6000 (pow.f64 x 4) (+.f64 1000 (fma.f64 10000 (pow.f64 x 6) (.f64 3000 (.f64 x x)))))
(+.f64 (fma.f64 10000 (pow.f64 x 6) (.f64 3000 (.f64 x x))) (fma.f64 6000 (pow.f64 x 4) 1000))
(fma.f64 6000 (pow.f64 x 4) (fma.f64 3000 (*.f64 x x) (fma.f64 10000 (pow.f64 x 6) 1000)))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6))))
(+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))
(-.f64 (/.f64 -1000 (pow.f64 x 6)) (/.f64 3000 (pow.f64 x 8)))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (/.f64 6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (/.f64 -1000 (pow.f64 x 6)) (/.f64 3000 (pow.f64 x 8))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))) (/.f64 10000 (pow.f64 x 12))))
(+.f64 (+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))) (/.f64 -10000 (pow.f64 x 12)))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (-.f64 (/.f64 -1000 (pow.f64 x 6)) (/.f64 3000 (pow.f64 x 8))) (/.f64 10000 (pow.f64 x 12))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))) (/.f64 -10000 (pow.f64 x 12))))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6))))
(+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))
(-.f64 (/.f64 -1000 (pow.f64 x 6)) (/.f64 3000 (pow.f64 x 8)))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (/.f64 6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (/.f64 -1000 (pow.f64 x 6)) (/.f64 3000 (pow.f64 x 8))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))) (/.f64 10000 (pow.f64 x 12))))
(+.f64 (+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))) (/.f64 -10000 (pow.f64 x 12)))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (-.f64 (/.f64 -1000 (pow.f64 x 6)) (/.f64 3000 (pow.f64 x 8))) (/.f64 10000 (pow.f64 x 12))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))) (/.f64 -10000 (pow.f64 x 12))))
(*.f64 -1 (cbrt.f64 -1000))
(neg.f64 (cbrt.f64 -1000))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(fma.f64 -1 (cbrt.f64 -1000) (.f64 (neg.f64 (cbrt.f64 -1000)) (.f64 x x)))
(neg.f64 (.f64 (+.f64 (.f64 x x) 1) (cbrt.f64 -1000)))
(.f64 (cbrt.f64 -1000) (-.f64 -1 (.f64 x x)))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(fma.f64 -1 (cbrt.f64 -1000) (fma.f64 -1 (.f64 (pow.f64 x 4) (cbrt.f64 -1000)) (.f64 (neg.f64 (cbrt.f64 -1000)) (*.f64 x x))))
(-.f64 (.f64 (neg.f64 (cbrt.f64 -1000)) (+.f64 (pow.f64 x 4) (.f64 x x))) (cbrt.f64 -1000))
(neg.f64 (fma.f64 (cbrt.f64 -1000) (fma.f64 x x (pow.f64 x 4)) (cbrt.f64 -1000)))
(*.f64 (cbrt.f64 -1000) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 6))) (+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 (pow.f64 x 6) (cbrt.f64 -1000)) (fma.f64 -1 (cbrt.f64 -1000) (fma.f64 -1 (.f64 (pow.f64 x 4) (cbrt.f64 -1000)) (.f64 (neg.f64 (cbrt.f64 -1000)) (.f64 x x)))))
(-.f64 (-.f64 (.f64 (neg.f64 (cbrt.f64 -1000)) (+.f64 (pow.f64 x 4) (.f64 x x))) (cbrt.f64 -1000)) (*.f64 (pow.f64 x 6) (cbrt.f64 -1000)))
(-.f64 (*.f64 (neg.f64 (cbrt.f64 -1000)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4)))) (cbrt.f64 -1000))
(*.f64 (cbrt.f64 -1000) (-.f64 (-.f64 -1 (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(/.f64 (cbrt.f64 -1000) (*.f64 x x))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6))))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(/.f64 (cbrt.f64 -1000) (*.f64 x x))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6))))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))

eval170.0ms (3.7%)

Compiler: Compiled 7098 to 5198 computations (26.8% saved)

prune80.0ms (1.7%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	457	11	468
Fresh	5	1	6
Picked	1	0	1
Done	0	6	6
Total	463	18	481

Error

Counts

481 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	57.8b	10
▶	19.9b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
	7.6b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	7.6b	(/.f64 10 (-.f64 1 (*.f64 x x)))
✓	7.6b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
✓	21.2b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
▶	60.6b	(/.f64 (/.f64 -10 x) x)
	0.6b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
▶	19.9b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	1.5b	(*.f64 (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 2) 1/3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	60.6b	(/.f64 -10 (*.f64 x x))
	1.4b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	0.6b	(cbrt.f64 (*.f64 -1000 (/.f64 1 (pow.f64 (fma.f64 x x -1) 3))))
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))

Compiler

Compiled 296 to 228 computations (23% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (fma.f64 x x -1) -10)
	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	0.3b	(/.f64 (fma.f64 x x -1) -10)

Compiler

Compiled 23 to 16 computations (30.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (fma.f64 x x -1) -10)
1.0ms	x	@	inf	(/.f64 (fma.f64 x x -1) -10)
1.0ms	x	@	-inf	(/.f64 (fma.f64 x x -1) -10)
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`pow1_binary64`
649×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
637×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	16
2	1829	16

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(/.f64 (fma.f64 x x -1) -10)
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) -1/10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -1) -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1)) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (sqrt.f64 (fma.f64 x x -1)) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x -1)) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -1) 10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (fma.f64 x x -1) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) 10)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
355×	`distribute-neg-frac_binary64`
255×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	118	297
2	350	293
3	1179	290
4	4797	287

Stop Event

1×	node limit

Counts

70 → 66

Calls

Call 1

Inputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))

Outputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(fma.f64 x (*.f64 x 10) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (/.f64 -10 x) x)
✓	0.2b	(/.f64 (/.f64 -10 x) 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 (/.f64 -10 x) x)
0.0ms	x	@	inf	(/.f64 (/.f64 -10 x) x)
0.0ms	x	@	-inf	(/.f64 (/.f64 -10 x) x)

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
547×	`add-log-exp_binary64`
547×	`log1p-expm1-u_binary64`
547×	`expm1-log1p-u_binary64`
537×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	112	7
2	1480	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (/.f64 -10 x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) (*.f64 (cbrt.f64 (/.f64 -10 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -10) x) (/.f64 (sqrt.f64 -10) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 x)) (*.f64 (sqrt.f64 (/.f64 -10 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -10 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -10 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -10 x)) 1) (/.f64 (sqrt.f64 (/.f64 -10 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -10 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -10 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -10 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -10 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -10 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -10 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -10) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -10 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -10 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (*.f64 x x))))))))

simplify116.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/r*_binary64`
1106×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	11	84
2	20	84
3	35	84
4	75	84
5	209	84
6	754	84
7	1962	84
8	2128	84
9	2312	84
10	2520	84
11	2811	84
12	3202	84
13	3680	84
14	4241	84
15	4925	84
16	5758	84
17	6150	84
18	6438	84
19	6716	84
20	6794	84
21	6828	84

Stop Event

1×	node limit

Counts

47 → 37

Calls

Call 1

Inputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (pow.f64 x 2))

Outputs
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (fma.f64 x x -1) -1/10)
	0.3b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
✓	0.3b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
✓	0.4b	(*.f64 (fma.f64 x x -1) -1/10)

Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (fma.f64 x x -1) -1/10)
0.0ms	x	@	inf	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
0.0ms	x	@	-inf	(*.f64 (fma.f64 x x -1) -1/10)
0.0ms	x	@	0	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`pow1_binary64`
614×	`add-log-exp_binary64`
613×	`log1p-expm1-u_binary64`
613×	`expm1-log1p-u_binary64`
602×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	155	16
2	1696	16

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(*.f64 (fma.f64 x x -1) -1/10)
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1/10) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/10 (*.f64 x x)) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 x x -1) -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) -10)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) 1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/100 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/10) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (fma.f64 x x -1) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
355×	`distribute-neg-frac_binary64`
255×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	118	297
2	350	293
3	1179	290
4	4797	287

Stop Event

1×	node limit

Counts

66 → 62

Calls

Call 1

Inputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))

Outputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(fma.f64 x (*.f64 x 10) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))

localize15.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (fma.f64 x x -1) 2)
	0.2b	(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))
	0.1b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	0.1b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	0.2b	(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))
✓	0.5b	(pow.f64 (fma.f64 x x -1) 2)

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (fma.f64 x x -1) 2)
0.0ms	x	@	inf	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
0.0ms	x	@	inf	(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))
0.0ms	x	@	inf	(pow.f64 (fma.f64 x x -1) 2)
0.0ms	x	@	0	(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`pow1_binary64`
718×	`add-log-exp_binary64`
718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	188	27
2	2017	27

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(pow.f64 (fma.f64 x x -1) 2)
(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (pow.f64 (fma.f64 x x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (fma.f64 x x -1)) (/.f64 10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 10000 (pow.f64 (fma.f64 x x -1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2) (*.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10000 (pow.f64 (fma.f64 x x -1) 4))) (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 10 (fma.f64 x x -1))) (*.f64 (sqrt.f64 (/.f64 10 (fma.f64 x x -1))) (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -2) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 10 (fma.f64 x x -1)) (sqrt.f64 (/.f64 10 (fma.f64 x x -1)))) (sqrt.f64 (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 10 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2)) (cbrt.f64 (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (fma.f64 x x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10000 (pow.f64 (fma.f64 x x -1) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000 (pow.f64 (fma.f64 x x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 10 (fma.f64 x x -1))) (sqrt.f64 (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 10000 (pow.f64 (fma.f64 x x -1) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 100 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 10000 (pow.f64 (fma.f64 x x -1) 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -100) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1000 (pow.f64 (fma.f64 x x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 10 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1000 (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 10 (fma.f64 x x -1))))))))

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-def_binary64`
723×	`associate-/l*_binary64`
583×	`distribute-rgt-out_binary64`
446×	`unswap-sqr_binary64`
423×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	551
1	186	545
2	462	524
3	1243	524
4	4449	521

Stop Event

1×	node limit

Counts

107 → 108

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(pow.f64 x 4)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(pow.f64 x 4)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 4))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
100
(+.f64 100 (*.f64 200 (pow.f64 x 2)))
(+.f64 100 (+.f64 (.f64 300 (pow.f64 x 4)) (.f64 200 (pow.f64 x 2))))
(+.f64 100 (+.f64 (.f64 400 (pow.f64 x 6)) (+.f64 (.f64 300 (pow.f64 x 4)) (*.f64 200 (pow.f64 x 2)))))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
-10
(-.f64 (*.f64 -10 (pow.f64 x 2)) 10)
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (.f64 -10 (pow.f64 x 2))) 10)
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (+.f64 (.f64 -10 (pow.f64 x 6)) (*.f64 -10 (pow.f64 x 2)))) 10)
(/.f64 10 (pow.f64 x 2))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))
(/.f64 10 (pow.f64 x 2))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))

Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -2 x) 1)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (fma.f64 x x -2) 1)
(fma.f64 x (*.f64 x (fma.f64 x x -2)) 1)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (fma.f64 x x -2) 1)
(fma.f64 x (*.f64 x (fma.f64 x x -2)) 1)
(pow.f64 x 4)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -2 (*.f64 x x) (pow.f64 x 4))
(.f64 x (.f64 x (fma.f64 x x -2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (fma.f64 x x -2) 1)
(fma.f64 x (*.f64 x (fma.f64 x x -2)) 1)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (fma.f64 x x -2) 1)
(fma.f64 x (*.f64 x (fma.f64 x x -2)) 1)
(pow.f64 x 4)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -2 (*.f64 x x) (pow.f64 x 4))
(.f64 x (.f64 x (fma.f64 x x -2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (fma.f64 x x -2) 1)
(fma.f64 x (*.f64 x (fma.f64 x x -2)) 1)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (fma.f64 -2 (*.f64 x x) 1) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (fma.f64 -2 (*.f64 x x) 1))
(fma.f64 (*.f64 x x) (fma.f64 x x -2) 1)
(fma.f64 x (*.f64 x (fma.f64 x x -2)) 1)
100
(+.f64 100 (*.f64 200 (pow.f64 x 2)))
(+.f64 100 (.f64 (.f64 x x) 200))
(fma.f64 (*.f64 x x) 200 100)
(fma.f64 x (*.f64 x 200) 100)
(+.f64 100 (+.f64 (.f64 300 (pow.f64 x 4)) (.f64 200 (pow.f64 x 2))))
(+.f64 100 (fma.f64 300 (pow.f64 x 4) (.f64 (.f64 x x) 200)))
(+.f64 100 (fma.f64 (.f64 x x) 200 (.f64 (pow.f64 x 4) 300)))
(fma.f64 x (*.f64 x 200) (fma.f64 (pow.f64 x 4) 300 100))
(+.f64 100 (+.f64 (.f64 400 (pow.f64 x 6)) (+.f64 (.f64 300 (pow.f64 x 4)) (*.f64 200 (pow.f64 x 2)))))
(+.f64 100 (fma.f64 400 (pow.f64 x 6) (fma.f64 300 (pow.f64 x 4) (.f64 (.f64 x x) 200))))
(+.f64 100 (fma.f64 400 (pow.f64 x 6) (fma.f64 (.f64 x x) 200 (.f64 (pow.f64 x 4) 300))))
(fma.f64 400 (pow.f64 x 6) (fma.f64 x (*.f64 x 200) (fma.f64 (pow.f64 x 4) 300 100)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 300) 200) (fma.f64 400 (pow.f64 x 6) 100))
(fma.f64 x (*.f64 x 200) (fma.f64 (pow.f64 x 4) 300 (fma.f64 400 (pow.f64 x 6) 100)))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 200 (pow.f64 x 6)))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 400 (pow.f64 x 10)) (/.f64 200 (pow.f64 x 6))) (/.f64 300 (pow.f64 x 8))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 400 (pow.f64 x 10)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 300 (pow.f64 x 8)) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 400 (pow.f64 x 10)))))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 200 (pow.f64 x 6)))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 400 (pow.f64 x 10)) (/.f64 200 (pow.f64 x 6))) (/.f64 300 (pow.f64 x 8))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 400 (pow.f64 x 10)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 300 (pow.f64 x 8)) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 400 (pow.f64 x 10)))))
-10
(-.f64 (*.f64 -10 (pow.f64 x 2)) 10)
(fma.f64 -10 (*.f64 x x) -10)
(fma.f64 (*.f64 x x) -10 -10)
(*.f64 -10 (fma.f64 x x 1))
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (.f64 -10 (pow.f64 x 2))) 10)
(+.f64 (.f64 -10 (+.f64 (pow.f64 x 4) (.f64 x x))) -10)
(fma.f64 -10 (+.f64 (*.f64 x x) (pow.f64 x 4)) -10)
(fma.f64 -10 (fma.f64 x x (pow.f64 x 4)) -10)
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (+.f64 (.f64 -10 (pow.f64 x 6)) (*.f64 -10 (pow.f64 x 2)))) 10)
(+.f64 (fma.f64 -10 (pow.f64 x 4) (.f64 -10 (+.f64 (pow.f64 x 6) (.f64 x x)))) -10)
(fma.f64 (pow.f64 x 4) -10 (fma.f64 -10 (+.f64 (*.f64 x x) (pow.f64 x 6)) -10))
(fma.f64 -10 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -10)
(fma.f64 -10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) -10)
(*.f64 (fma.f64 x x 1) (fma.f64 (pow.f64 x 4) -10 -10))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))

localize14.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (fma.f64 x x -1) -2)
	0.2b	(*.f64 100 (pow.f64 (fma.f64 x x -1) -2))
	0.1b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
✓	0.1b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
✓	0.2b	(*.f64 100 (pow.f64 (fma.f64 x x -1) -2))
✓	0.5b	(pow.f64 (fma.f64 x x -1) -2)

Compiler

Compiled 32 to 23 computations (28.1% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	inf	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	-inf	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	inf	(*.f64 100 (pow.f64 (fma.f64 x x -1) -2))
0.0ms	x	@	-inf	(*.f64 100 (pow.f64 (fma.f64 x x -1) -2))

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`pow1_binary64`
688×	`add-log-exp_binary64`
688×	`log1p-expm1-u_binary64`
688×	`expm1-log1p-u_binary64`
673×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	183	30
2	1923	30

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(pow.f64 (fma.f64 x x -1) -2)
(*.f64 100 (pow.f64 (fma.f64 x x -1) -2))
(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -4) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -4) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (pow.f64 (fma.f64 x x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) (cbrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)) (sqrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 100 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -4) 10000))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 100 1/2) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (/.f64 1 (fma.f64 x x -1)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -4) 10000)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 10) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) 10)))))))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

686×	`distribute-rgt-out_binary64`
545×	`distribute-lft-out_binary64`
505×	`associate-/r*_binary64`
458×	`associate-l_binary64`
446×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	642
1	228	634
2	573	623
3	1546	623
4	4817	620

Stop Event

1×	node limit

Counts

86 → 93

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 3 (pow.f64 x 4))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 4 (pow.f64 x 6)) (*.f64 3 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (.f64 3 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 10))) (*.f64 3 (/.f64 1 (pow.f64 x 8))))))
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (.f64 3 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 10))) (*.f64 3 (/.f64 1 (pow.f64 x 8))))))
100
(+.f64 100 (*.f64 200 (pow.f64 x 2)))
(+.f64 100 (+.f64 (.f64 300 (pow.f64 x 4)) (.f64 200 (pow.f64 x 2))))
(+.f64 100 (+.f64 (.f64 400 (pow.f64 x 6)) (+.f64 (.f64 300 (pow.f64 x 4)) (*.f64 200 (pow.f64 x 2)))))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
-10
(-.f64 (*.f64 -10 (pow.f64 x 2)) 10)
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (.f64 -10 (pow.f64 x 2))) 10)
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (+.f64 (.f64 -10 (pow.f64 x 6)) (*.f64 -10 (pow.f64 x 2)))) 10)
(/.f64 10 (pow.f64 x 2))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))
(/.f64 10 (pow.f64 x 2))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))

Outputs
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(fma.f64 2 (*.f64 x x) 1)
(fma.f64 x (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 3 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (.f64 x x) 1) (.f64 3 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 3 (pow.f64 x 4) 1))
(fma.f64 3 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 4 (pow.f64 x 6)) (*.f64 3 (pow.f64 x 4)))))
(+.f64 (fma.f64 2 (.f64 x x) 1) (fma.f64 4 (pow.f64 x 6) (.f64 3 (pow.f64 x 4))))
(+.f64 (fma.f64 3 (pow.f64 x 4) (.f64 4 (pow.f64 x 6))) (fma.f64 2 (.f64 x x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 3 (pow.f64 x 4) (fma.f64 4 (pow.f64 x 6) 1)))
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (.f64 3 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 8))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 10))) (*.f64 3 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 3 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 10)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 8))) (/.f64 4 (pow.f64 x 10))))
(+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 10)))))
(/.f64 1 (pow.f64 x 4))
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (.f64 3 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 8))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 10))) (*.f64 3 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 3 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 10)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 8))) (/.f64 4 (pow.f64 x 10))))
(+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 8)) (/.f64 4 (pow.f64 x 10)))))
100
(+.f64 100 (*.f64 200 (pow.f64 x 2)))
(+.f64 100 (.f64 (.f64 x x) 200))
(fma.f64 (*.f64 x x) 200 100)
(fma.f64 x (*.f64 x 200) 100)
(+.f64 100 (+.f64 (.f64 300 (pow.f64 x 4)) (.f64 200 (pow.f64 x 2))))
(+.f64 100 (fma.f64 300 (pow.f64 x 4) (.f64 (.f64 x x) 200)))
(+.f64 100 (fma.f64 (pow.f64 x 4) 300 (.f64 (.f64 200 x) x)))
(fma.f64 x (*.f64 x 200) (fma.f64 (pow.f64 x 4) 300 100))
(fma.f64 (pow.f64 x 4) 300 (fma.f64 x (*.f64 x 200) 100))
(+.f64 100 (+.f64 (.f64 400 (pow.f64 x 6)) (+.f64 (.f64 300 (pow.f64 x 4)) (*.f64 200 (pow.f64 x 2)))))
(+.f64 100 (fma.f64 400 (pow.f64 x 6) (fma.f64 300 (pow.f64 x 4) (.f64 (.f64 x x) 200))))
(+.f64 100 (fma.f64 (pow.f64 x 6) 400 (fma.f64 (pow.f64 x 4) 300 (.f64 (.f64 200 x) x))))
(fma.f64 (pow.f64 x 6) 400 (fma.f64 x (*.f64 x 200) (fma.f64 (pow.f64 x 4) 300 100)))
(fma.f64 (pow.f64 x 6) 400 (fma.f64 (pow.f64 x 4) 300 (fma.f64 x (*.f64 x 200) 100)))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 200 (pow.f64 x 6)))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))))
(+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 100 (pow.f64 x 4))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 400 (pow.f64 x 10))) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 400 (pow.f64 x 10))) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 100 (pow.f64 x 4))))
(+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 400 (pow.f64 x 10)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 400 (pow.f64 x 10)))))
(+.f64 (/.f64 300 (pow.f64 x 8)) (+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 400 (pow.f64 x 10)))))
(/.f64 100 (pow.f64 x 4))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (.f64 200 (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 200 (pow.f64 x 6)))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (*.f64 300 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))))
(+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 100 (pow.f64 x 4))))
(+.f64 (.f64 100 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 400 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 200 (/.f64 1 (pow.f64 x 6))) (.f64 300 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 400 (pow.f64 x 10))) (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 200 (pow.f64 x 6)) (/.f64 400 (pow.f64 x 10))) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 100 (pow.f64 x 4))))
(+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 400 (pow.f64 x 10)))))
(+.f64 (/.f64 100 (pow.f64 x 4)) (+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 300 (pow.f64 x 8)) (/.f64 400 (pow.f64 x 10)))))
(+.f64 (/.f64 300 (pow.f64 x 8)) (+.f64 (/.f64 200 (pow.f64 x 6)) (+.f64 (/.f64 100 (pow.f64 x 4)) (/.f64 400 (pow.f64 x 10)))))
-10
(-.f64 (*.f64 -10 (pow.f64 x 2)) 10)
(fma.f64 -10 (*.f64 x x) -10)
(fma.f64 (*.f64 x x) -10 -10)
(*.f64 -10 (fma.f64 x x 1))
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (.f64 -10 (pow.f64 x 2))) 10)
(+.f64 (.f64 -10 (+.f64 (pow.f64 x 4) (.f64 x x))) -10)
(fma.f64 -10 (+.f64 (*.f64 x x) (pow.f64 x 4)) -10)
(fma.f64 -10 (fma.f64 x x (pow.f64 x 4)) -10)
(-.f64 (+.f64 (.f64 -10 (pow.f64 x 4)) (+.f64 (.f64 -10 (pow.f64 x 6)) (*.f64 -10 (pow.f64 x 2)))) 10)
(+.f64 (fma.f64 -10 (pow.f64 x 4) (.f64 -10 (+.f64 (pow.f64 x 6) (.f64 x x)))) -10)
(fma.f64 (pow.f64 x 4) -10 (fma.f64 -10 (+.f64 (*.f64 x x) (pow.f64 x 6)) -10))
(fma.f64 -10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) -10)
(*.f64 (fma.f64 x x 1) (fma.f64 (pow.f64 x 4) -10 -10))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))))
(+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 (/.f64 10 x) x) (/.f64 10 (pow.f64 x 6))) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 8))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 8)))))

eval116.0ms (2.5%)

Compiler: Compiled 4455 to 3499 computations (21.5% saved)

prune59.0ms (1.3%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	359	7	366
Fresh	3	4	7
Picked	0	1	1
Done	2	8	10
Total	364	20	384

Error

Counts

384 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	57.8b	10
	7.6b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	20.3b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) 3))
✓	19.9b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	7.6b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	8.1b	(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
✓	7.6b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
✓	21.2b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
▶	0.6b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
✓	19.9b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	57.8b	(/.f64 (/.f64 10 x) x)
▶	57.8b	(/.f64 10 (*.f64 x x))
▶	6.9b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
▶	1.4b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	60.6b	-10
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))

Compiler

Compiled 268 to 206 computations (23.1% saved)

localize15.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (fma.f64 x x -1) 3)
	0.5b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
	0.3b	(/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))
✓	0.3b	(/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))
✓	0.5b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
✓	0.7b	(pow.f64 (fma.f64 x x -1) 3)

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
743×	`add-log-exp_binary64`
743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
727×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	191	29
2	2039	29

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(pow.f64 (fma.f64 x x -1) 3)
(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
(/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1000 (pow.f64 (fma.f64 x x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1)) (/.f64 (cbrt.f64 1000000) (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 1000000) (pow.f64 (fma.f64 x x -1) 2)) (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1000) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 (sqrt.f64 -1000) (pow.f64 (fma.f64 x x -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1000 (/.f64 1 (neg.f64 (pow.f64 (fma.f64 x x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x -1) -3) -1000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 1000000) (pow.f64 (fma.f64 x x -1) 2)) 1) (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 1000000) (pow.f64 (fma.f64 x x -1) 2)) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 1000000) (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1)))) (sqrt.f64 (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 -1000) (fma.f64 x x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1000) (pow.f64 (fma.f64 x x -1) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 3) -1/1000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1000000 (pow.f64 (fma.f64 x x -1) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1000) (pow.f64 (fma.f64 x x -1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1000 (pow.f64 (fma.f64 x x -1) -3))))))))

simplify51.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-neg_binary64`
719×	`associate-/r*_binary64`
429×	`sub-neg_binary64`
384×	`cancel-sign-sub-inv_binary64`
382×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	679
1	206	643
2	620	628
3	2171	622
4	7220	622

Stop Event

1×	node limit

Counts

109 → 115

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 3 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -3 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))) 1)
(pow.f64 x 6)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))) 1)
(pow.f64 x 6)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))) 1)
(*.f64 -1 (cbrt.f64 -1000))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 6))) (+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
1000
(+.f64 1000 (*.f64 3000 (pow.f64 x 2)))
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (.f64 3000 (pow.f64 x 2))))
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (+.f64 (.f64 10000 (pow.f64 x 6)) (*.f64 3000 (pow.f64 x 2)))))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))

Outputs
-1
(-.f64 (*.f64 3 (pow.f64 x 2)) 1)
(fma.f64 3 (*.f64 x x) -1)
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -3 (pow.f64 x 4))) 1)
(+.f64 (fma.f64 3 (.f64 x x) (.f64 -3 (pow.f64 x 4))) -1)
(fma.f64 3 (*.f64 x x) (fma.f64 -3 (pow.f64 x 4) -1))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))) 1)
(+.f64 (fma.f64 3 (*.f64 x x) (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6))) -1)
(+.f64 (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6)) (fma.f64 3 (*.f64 x x) -1))
(+.f64 (fma.f64 -3 (pow.f64 x 4) -1) (fma.f64 3 (*.f64 x x) (pow.f64 x 6)))
(+.f64 -1 (fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (*.f64 x x) (pow.f64 x 6))))
(pow.f64 x 6)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))
(fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6)))
(fma.f64 3 (*.f64 x x) (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6)))
(fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (*.f64 x x) (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))) 1)
(+.f64 (fma.f64 3 (*.f64 x x) (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6))) -1)
(+.f64 (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6)) (fma.f64 3 (*.f64 x x) -1))
(+.f64 (fma.f64 -3 (pow.f64 x 4) -1) (fma.f64 3 (*.f64 x x) (pow.f64 x 6)))
(+.f64 -1 (fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (*.f64 x x) (pow.f64 x 6))))
(pow.f64 x 6)
(+.f64 (*.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))
(fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6)))
(fma.f64 3 (*.f64 x x) (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6)))
(fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (*.f64 x x) (pow.f64 x 6)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 -3 (pow.f64 x 4)) (pow.f64 x 6))) 1)
(+.f64 (fma.f64 3 (*.f64 x x) (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6))) -1)
(+.f64 (fma.f64 -3 (pow.f64 x 4) (pow.f64 x 6)) (fma.f64 3 (*.f64 x x) -1))
(+.f64 (fma.f64 -3 (pow.f64 x 4) -1) (fma.f64 3 (*.f64 x x) (pow.f64 x 6)))
(+.f64 -1 (fma.f64 -3 (pow.f64 x 4) (fma.f64 3 (*.f64 x x) (pow.f64 x 6))))
(*.f64 -1 (cbrt.f64 -1000))
(neg.f64 (cbrt.f64 -1000))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(fma.f64 -1 (cbrt.f64 -1000) (.f64 (neg.f64 (cbrt.f64 -1000)) (.f64 x x)))
(neg.f64 (.f64 (+.f64 (.f64 x x) 1) (cbrt.f64 -1000)))
(.f64 (cbrt.f64 -1000) (-.f64 -1 (.f64 x x)))
(+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(fma.f64 -1 (cbrt.f64 -1000) (fma.f64 -1 (.f64 (pow.f64 x 4) (cbrt.f64 -1000)) (.f64 (neg.f64 (cbrt.f64 -1000)) (*.f64 x x))))
(-.f64 (.f64 (neg.f64 (cbrt.f64 -1000)) (+.f64 (pow.f64 x 4) (.f64 x x))) (cbrt.f64 -1000))
(neg.f64 (fma.f64 (cbrt.f64 -1000) (fma.f64 x x (pow.f64 x 4)) (cbrt.f64 -1000)))
(*.f64 (cbrt.f64 -1000) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 6))) (+.f64 (.f64 -1 (cbrt.f64 -1000)) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (.f64 -1 (*.f64 (cbrt.f64 -1000) (pow.f64 x 2))))))
(fma.f64 -1 (.f64 (pow.f64 x 6) (cbrt.f64 -1000)) (fma.f64 -1 (cbrt.f64 -1000) (fma.f64 -1 (.f64 (pow.f64 x 4) (cbrt.f64 -1000)) (.f64 (neg.f64 (cbrt.f64 -1000)) (.f64 x x)))))
(-.f64 (-.f64 (.f64 (neg.f64 (cbrt.f64 -1000)) (+.f64 (pow.f64 x 4) (.f64 x x))) (cbrt.f64 -1000)) (*.f64 (pow.f64 x 6) (cbrt.f64 -1000)))
(-.f64 (*.f64 (neg.f64 (cbrt.f64 -1000)) (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) (cbrt.f64 -1000))
(*.f64 (cbrt.f64 -1000) (-.f64 (-.f64 -1 (pow.f64 x 6)) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(/.f64 (cbrt.f64 -1000) (*.f64 x x))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))
(/.f64 (cbrt.f64 -1000) (pow.f64 x 2))
(/.f64 (cbrt.f64 -1000) (*.f64 x x))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 6))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 4))) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))))
(+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))
1000
(+.f64 1000 (*.f64 3000 (pow.f64 x 2)))
(+.f64 1000 (.f64 (.f64 x x) 3000))
(fma.f64 (*.f64 x x) 3000 1000)
(fma.f64 x (*.f64 x 3000) 1000)
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (.f64 3000 (pow.f64 x 2))))
(fma.f64 6000 (pow.f64 x 4) (+.f64 1000 (.f64 (.f64 x x) 3000)))
(fma.f64 (pow.f64 x 4) 6000 (fma.f64 (*.f64 x x) 3000 1000))
(fma.f64 x (*.f64 x 3000) (fma.f64 (pow.f64 x 4) 6000 1000))
(+.f64 (.f64 6000 (pow.f64 x 4)) (+.f64 1000 (+.f64 (.f64 10000 (pow.f64 x 6)) (*.f64 3000 (pow.f64 x 2)))))
(fma.f64 6000 (pow.f64 x 4) (+.f64 1000 (fma.f64 10000 (pow.f64 x 6) (.f64 (.f64 x x) 3000))))
(+.f64 (fma.f64 (.f64 x x) 3000 (.f64 (pow.f64 x 6) 10000)) (fma.f64 (pow.f64 x 4) 6000 1000))
(fma.f64 (pow.f64 x 4) 6000 (fma.f64 (pow.f64 x 6) 10000 (fma.f64 x (*.f64 x 3000) 1000)))
(fma.f64 (pow.f64 x 4) 6000 (fma.f64 x (*.f64 x 3000) (fma.f64 (pow.f64 x 6) 10000 1000)))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6))))
(+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (/.f64 6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))))
(-.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))))
(-.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (/.f64 1000 (pow.f64 x 6)) (/.f64 -3000 (pow.f64 x 8))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 10000 (pow.f64 x 12)) (/.f64 6000 (pow.f64 x 10))) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))))
(+.f64 (-.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))) (/.f64 -10000 (pow.f64 x 12)))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))) (/.f64 10000 (pow.f64 x 12))))
(+.f64 (+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))) (/.f64 -10000 (pow.f64 x 12)))
(+.f64 (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))) (+.f64 (/.f64 -6000 (pow.f64 x 10)) (/.f64 -10000 (pow.f64 x 12))))
(/.f64 -1000 (pow.f64 x 6))
(neg.f64 (+.f64 (.f64 3000 (/.f64 1 (pow.f64 x 8))) (.f64 1000 (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6))))
(+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))
(neg.f64 (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (*.f64 3000 (/.f64 1 (pow.f64 x 8))))))
(neg.f64 (+.f64 (/.f64 6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))))
(-.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6))))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))))
(-.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (/.f64 1000 (pow.f64 x 6)) (/.f64 -3000 (pow.f64 x 8))))
(neg.f64 (+.f64 (.f64 10000 (/.f64 1 (pow.f64 x 12))) (+.f64 (.f64 6000 (/.f64 1 (pow.f64 x 10))) (+.f64 (.f64 1000 (/.f64 1 (pow.f64 x 6))) (.f64 3000 (/.f64 1 (pow.f64 x 8)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 10000 (pow.f64 x 12)) (/.f64 6000 (pow.f64 x 10))) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))))
(+.f64 (-.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 3000 (pow.f64 x 8)) (/.f64 1000 (pow.f64 x 6)))) (/.f64 -10000 (pow.f64 x 12)))
(+.f64 (/.f64 -6000 (pow.f64 x 10)) (-.f64 (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))) (/.f64 10000 (pow.f64 x 12))))
(+.f64 (+.f64 (/.f64 -6000 (pow.f64 x 10)) (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6)))) (/.f64 -10000 (pow.f64 x 12)))
(+.f64 (+.f64 (/.f64 -3000 (pow.f64 x 8)) (/.f64 -1000 (pow.f64 x 6))) (+.f64 (/.f64 -6000 (pow.f64 x 10)) (/.f64 -10000 (pow.f64 x 12))))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 10 (*.f64 x x))
✓	0.2b	(/.f64 10 (*.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 10 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 10 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 10 (*.f64 x x))

rewrite35.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`pow1_binary64`
491×	`add-sqr-sqrt_binary64`
470×	`add-log-exp_binary64`
470×	`log1p-expm1-u_binary64`
470×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1322	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 10 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 10 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 10 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 10 (pow.f64 x -2))) (cbrt.f64 (/.f64 100 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 100 (pow.f64 x 4))) (cbrt.f64 (*.f64 10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 10) x) (/.f64 (sqrt.f64 10) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -10 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 10)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 10 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 10 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 10) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 10) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 10 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 10 (pow.f64 x -2))))))))

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-/r*_binary64`
1108×	`sqr-pow_binary64`
561×	`cube-prod_binary64`
550×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	11	84
2	20	84
3	35	84
4	75	84
5	209	84
6	754	84
7	1962	84
8	2128	84
9	2311	84
10	2519	84
11	2810	84
12	3201	84
13	3681	84
14	4242	84
15	4926	84
16	5761	84
17	6151	84
18	6437	84
19	6715	84
20	6787	84
21	6823	84

Stop Event

1×	node limit

Counts

33 → 23

Calls

Call 1

Inputs
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (pow.f64 x 2))

Outputs
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	8.2b	(+.f64 (.f64 -1/10 (.f64 x x)) 1/10)
	0.5b	(.f64 -1/10 (.f64 x x))
	0.3b	(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
✓	0.3b	(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
✓	0.5b	(.f64 -1/10 (.f64 x x))
✓	8.2b	(+.f64 (.f64 -1/10 (.f64 x x)) 1/10)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 -1/10 (.f64 x x))
0.0ms	x	@	0	(+.f64 (.f64 -1/10 (.f64 x x)) 1/10)
0.0ms	x	@	inf	(+.f64 (.f64 -1/10 (.f64 x x)) 1/10)
0.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
0.0ms	x	@	0	(.f64 -1/10 (.f64 x x))

rewrite52.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
811×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
796×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	193	26
2	2270	26

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(+.f64 (.f64 -1/10 (.f64 x x)) 1/10)
(.f64 -1/10 (.f64 x x))
(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/100 (pow.f64 x 4)) (fma.f64 -1/10 (*.f64 x x) -1/10)) (/.f64 1/100 (fma.f64 -1/10 (*.f64 x x) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) (pow.f64 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) 2) (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) (sqrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/1000 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3)) (/.f64 1 (+.f64 (*.f64 1/100 (pow.f64 x 4)) (-.f64 1/100 (*.f64 (*.f64 x x) -1/100)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/100 (pow.f64 x 4)) -1/100) (/.f64 1 (fma.f64 -1/10 (*.f64 x x) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/100 (pow.f64 x 4)) (-.f64 1/100 (*.f64 (*.f64 x x) -1/100))) (+.f64 1/1000 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/10 (*.f64 x x) -1/10) (+.f64 (*.f64 1/100 (pow.f64 x 4)) -1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3)) (+.f64 (*.f64 1/100 (pow.f64 x 4)) (-.f64 1/100 (*.f64 (*.f64 x x) -1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/1000 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3)) (+.f64 1/100 (-.f64 (*.f64 1/100 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/100 (pow.f64 x 4)) -1/100) (fma.f64 -1/10 (*.f64 x x) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/1000 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3))) (neg.f64 (+.f64 (*.f64 1/100 (pow.f64 x 4)) (-.f64 1/100 (*.f64 (*.f64 x x) -1/100)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/100 (pow.f64 x 4)) -1/100)) (neg.f64 (fma.f64 -1/10 (*.f64 x x) -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/100 (*.f64 1/100 (pow.f64 x 4))) (-.f64 1/10 (*.f64 -1/10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/10 (*.f64 x x) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/10 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/10 (*.f64 x x)) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/100 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/10 (*.f64 x x))) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/10)) (*.f64 x (sqrt.f64 -1/10)) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/10 x) x 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/10 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/10 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/10 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/100 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/10) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/10 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10))) (cbrt.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -1/2) (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/10 (*.f64 x x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/1000 (pow.f64 (*.f64 -1/10 (*.f64 x x)) 3))) (+.f64 (*.f64 1/100 (pow.f64 x 4)) (-.f64 1/100 (*.f64 (*.f64 x x) -1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/100 (pow.f64 x 4)) -1/100)) (fma.f64 -1/10 (*.f64 x x) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/10 (*.f64 x x) 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/10 (*.f64 x x) 1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/10 (*.f64 x x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -1/10 (*.f64 x x) 1/10))))))))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
355×	`distribute-neg-frac_binary64`
255×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	415
1	118	381
2	350	377
3	1179	374
4	4797	371

Stop Event

1×	node limit

Counts

107 → 91

Calls

Call 1

Inputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
(*.f64 -1/10 (pow.f64 x 2))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))

Outputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(fma.f64 x (*.f64 x 10) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	7.3b	(fma.f64 x (*.f64 -1/10 x) 1/10)
	0.4b	(*.f64 -1/10 x)
	0.3b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
✓	0.3b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
✓	0.4b	(*.f64 -1/10 x)
✓	7.3b	(fma.f64 x (*.f64 -1/10 x) 1/10)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x (*.f64 -1/10 x) 1/10)
1.0ms	x	@	-inf	(fma.f64 x (*.f64 -1/10 x) 1/10)
0.0ms	x	@	inf	(fma.f64 x (*.f64 -1/10 x) 1/10)
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
0.0ms	x	@	-inf	(*.f64 -1/10 x)

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`pow1_binary64`
622×	`add-log-exp_binary64`
622×	`log1p-expm1-u_binary64`
622×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	160	23
2	1731	23

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 x)
(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/10 (*.f64 x (*.f64 x -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/10)) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/10)) 1) 1/10)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/10) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) (sqrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x -1/10) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/10)) 3) 1/1000) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/10)) (*.f64 x (*.f64 x -1/10))) (-.f64 1/100 (*.f64 (*.f64 x (*.f64 x -1/10)) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/10)) (*.f64 x (*.f64 x -1/10))) 1/100) (-.f64 (*.f64 x (*.f64 x -1/10)) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/10) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/10) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/10) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/10) 1/10)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/100 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/10)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -1/2) (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/10) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) -1) (pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x (*.f64 x -1/10) 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/10) 1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -1/10) 1/10))))))))

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
355×	`distribute-neg-frac_binary64`
255×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	118	297
2	350	293
3	1179	290
4	4797	287

Stop Event

1×	node limit

Counts

81 → 77

Calls

Call 1

Inputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(*.f64 -1/10 (pow.f64 x 2))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))

Outputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(fma.f64 x (*.f64 x 10) 10)
(*.f64 10 (fma.f64 x x 1))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 10 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 4) 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 4)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 10 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 10 (fma.f64 10 (pow.f64 x 6) (fma.f64 10 (pow.f64 x 4) 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 10 (pow.f64 x 4) 10))
(fma.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 10)
(*.f64 (fma.f64 x x 1) (fma.f64 10 (pow.f64 x 4) 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8))))

localize22.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.8b	(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3)
	0.5b	(cbrt.f64 (/.f64 1 (fma.f64 x x -1)))
	0.3b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	0.3b	(/.f64 1 (fma.f64 x x -1))
	0.3b	(/.f64 1 (fma.f64 x x -1))
✓	0.3b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
✓	0.5b	(cbrt.f64 (/.f64 1 (fma.f64 x x -1)))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3)

Compiler

Compiled 43 to 32 computations (25.6% saved)

series9.0ms (0.2%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3)
1.0ms	x	@	inf	(cbrt.f64 (/.f64 1 (fma.f64 x x -1)))
0.0ms	x	@	0	(cbrt.f64 (/.f64 1 (fma.f64 x x -1)))

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`pow1_binary64`
757×	`add-log-exp_binary64`
755×	`log1p-expm1-u_binary64`
755×	`expm1-log1p-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	223	26
2	2150	26

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3)
(cbrt.f64 (/.f64 1 (fma.f64 x x -1)))
(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -10 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -10 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 10 (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

756×	`associate-/l*_binary64`
413×	`distribute-rgt-in_binary64`
385×	`fma-neg_binary64`
375×	`fma-def_binary64`
358×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	521
1	278	454
2	894	410
3	3290	353

Stop Event

1×	node limit

Counts

86 → 95

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (-.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (cbrt.f64 -1))) (.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (.f64 -1/3 (/.f64 (-.f64 (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 4/9 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (cbrt.f64 -1) 2))))) 4/27) (pow.f64 x 6)) (.f64 (-.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4)))) 1)
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))))))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))

Outputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(-.f64 -1 (*.f64 x x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (-.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4))) 1)
(+.f64 (fma.f64 -1 (.f64 x x) (.f64 (fma.f64 (cbrt.f64 -1) (-.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4))) -1)
(fma.f64 -1 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/9 (.f64 -1 (cbrt.f64 -1))) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) -1))
(fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -1/9 (cbrt.f64 -1)) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) (-.f64 -1 (*.f64 x x)))
(-.f64 (*.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (cbrt.f64 -1))) (.f64 4/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (.f64 -1/3 (/.f64 (-.f64 (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 4/9 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (cbrt.f64 -1) 2))))) 4/27) (pow.f64 x 6)) (.f64 (-.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 4/9 (/.f64 1 (cbrt.f64 -1))))) 4/9) (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 -1 (.f64 x x) (fma.f64 (+.f64 (fma.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (cbrt.f64 -1)) (/.f64 4/27 (pow.f64 (cbrt.f64 -1) 4))) (fma.f64 1/3 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (.f64 -1/3 (/.f64 (-.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 4/9 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2))))) -4/27) (pow.f64 x 6) (*.f64 (fma.f64 (cbrt.f64 -1) (-.f64 (/.f64 1/9 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4)))) -1)
(+.f64 -1 (-.f64 (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/9 (.f64 -1 (cbrt.f64 -1))) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) (.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -28/81 (cbrt.f64 -1)) (/.f64 4/27 (.f64 -1 (cbrt.f64 -1)))) (+.f64 (.f64 -1/3 (+.f64 (/.f64 (/.f64 1/9 (.f64 -1 (cbrt.f64 -1))) (pow.f64 (cbrt.f64 -1) 2)) 4/9)) -26/81)) (pow.f64 x 6))) (.f64 x x)))
(-.f64 (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -1/9 (cbrt.f64 -1)) (/.f64 -4/9 (cbrt.f64 -1))) -4/9) (pow.f64 x 4) (fma.f64 (fma.f64 (cbrt.f64 -1) (+.f64 (/.f64 -28/81 (cbrt.f64 -1)) (/.f64 -4/27 (cbrt.f64 -1))) -41/81) (pow.f64 x 6) -1)) (*.f64 x x))
(-.f64 (fma.f64 -1 (pow.f64 x 4) (*.f64 -1 (pow.f64 x 6))) (fma.f64 x x 1))
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (.f64 -1/3 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 -1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (cbrt.f64 -1))
(fma.f64 -1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (*.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)))
(fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1)))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (.f64 1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 6)))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 -14/81 (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (fma.f64 -1/3 (.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 -14/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6))))
(+.f64 (.f64 (/.f64 -14/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/3 (.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (cbrt.f64 -1))))
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(fma.f64 x (*.f64 x 10) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 (pow.f64 x 4) 10))
(fma.f64 (*.f64 x x) 10 (fma.f64 (pow.f64 x 4) 10 10))
(*.f64 10 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 10 (pow.f64 x 6)) (+.f64 10 (*.f64 10 (pow.f64 x 4)))))
(fma.f64 10 (.f64 x x) (fma.f64 10 (pow.f64 x 6) (+.f64 10 (.f64 (pow.f64 x 4) 10))))
(fma.f64 (*.f64 x x) 10 (fma.f64 (pow.f64 x 6) 10 (fma.f64 (pow.f64 x 4) 10 10)))
(fma.f64 10 (fma.f64 x x (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) 10 10))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))) (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 6)))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x)))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (*.f64 10 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))))
(+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 6))))
(neg.f64 (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 6))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8)))))
(-.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 10 (pow.f64 x 6))) (/.f64 10 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))) (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (*.f64 x x))))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (-.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 10 (pow.f64 x 6)))))

eval155.0ms (3.4%)

Compiler: Compiled 5952 to 4733 computations (20.5% saved)

prune156.0ms (3.4%)

Pruning

22 alts after pruning (8 fresh and 14 done)

	Pruned	Kept	Total
New	432	4	436
Fresh	2	4	6
Picked	0	1	1
Done	0	13	13
Total	434	22	456

Error

Counts

456 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	8.0b	(/.f64 1 (+.f64 (.f64 x (.f64 x -1/10)) 1/10))
	57.8b	(/.f64 (/.f64 10 x) x)
	8.5b	(/.f64 1 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/10)) (.f64 x (.f64 x -1/10))) 1/100) (-.f64 (.f64 x (*.f64 x -1/10)) 1/10)))
✓	57.8b	(/.f64 10 (*.f64 x x))
	7.6b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	20.3b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) 3))
✓	19.9b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	7.6b	(/.f64 10 (-.f64 1 (*.f64 x x)))
✓	8.1b	(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
✓	7.6b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
✓	21.2b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
	57.8b	10
✓	19.9b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	6.9b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
✓	1.4b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	60.6b	-10
✓	0.6b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
✓	0.3b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))

Compiler

Compiled 216 to 164 computations (24.1% saved)

regimes198.0ms (4.3%)

Counts

22 → 1

Calls

Call 1

Inputs
-10
10
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
(/.f64 1 (+.f64 (.f64 x (.f64 x -1/10)) 1/10))
(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/10)) (.f64 x (.f64 x -1/10))) 1/100) (-.f64 (.f64 x (*.f64 x -1/10)) 1/10)))
(/.f64 -10 (fma.f64 x x -1))
(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) 3))

Outputs
(/.f64 -10 (fma.f64 x x -1))

Calls

7 calls:

46.0ms	(-.f64 1 (*.f64 x x))
44.0ms	(*.f64 x x)
29.0ms	x
26.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
18.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
0.3b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
0.3b	1	`(-.f64 1 (*.f64 x x))`
0.3b	1	`(-.f64 1 (*.f64 x x))`
0.3b	1	`(*.f64 x x)`
0.3b	1	`(*.f64 x x)`

Compiler

Compiled 233 to 165 computations (29.2% saved)

regimes214.0ms (4.6%)

Counts

10 → 1

Calls

Call 1

Inputs
-10
10
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
(/.f64 1 (+.f64 (.f64 x (.f64 x -1/10)) 1/10))
(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/10)) (.f64 x (.f64 x -1/10))) 1/100) (-.f64 (.f64 x (*.f64 x -1/10)) 1/10)))

Outputs
(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))

Calls

7 calls:

136.0ms	(*.f64 x x)
37.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
10.0ms	(-.f64 1 (*.f64 x x))
7.0ms	(*.f64 x x)
7.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
7.6b	1	`x`
7.6b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.6b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.6b	1	`(-.f64 1 (*.f64 x x))`
7.6b	1	`(-.f64 1 (*.f64 x x))`
7.6b	1	`(*.f64 x x)`
7.6b	1	`(*.f64 x x)`

Compiler

Compiled 128 to 84 computations (34.4% saved)

regimes47.0ms (1%)

Counts

8 → 1

Calls

Call 1

Inputs
-10
10
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
(/.f64 1 (+.f64 (.f64 x (.f64 x -1/10)) 1/10))

Outputs
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)

Calls

5 calls:

20.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
7.0ms	(*.f64 x x)
6.0ms	x
6.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
6.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
7.6b	1	`x`
7.6b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.6b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.6b	1	`(-.f64 1 (*.f64 x x))`
7.6b	1	`(*.f64 x x)`

Compiler

Compiled 75 to 51 computations (32% saved)

regimes118.0ms (2.6%)

Counts

6 → 1

Calls

Call 1

Inputs
-10
10
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 1 (+.f64 (.f64 -1/10 (.f64 x x)) 1/10))

Outputs
(/.f64 10 (-.f64 1 (*.f64 x x)))

Calls

4 calls:

96.0ms	(*.f64 x x)
9.0ms	x
5.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
5.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
7.6b	1	`x`
7.6b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.6b	1	`(-.f64 1 (*.f64 x x))`
7.6b	1	`(*.f64 x x)`

Compiler

Compiled 49 to 32 computations (34.7% saved)

regimes18.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

Inputs
-10
10
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 10 x) x)

Outputs
(/.f64 10 (*.f64 x x))
-10

Calls

2 calls:

9.0ms	x
8.0ms	(*.f64 x x)

Results

Error	Segments	Branch
55.4b	2	`x`
55.4b	2	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999979798577645	1.000032725358654

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Accuracy

Total -7.6b remaining (-13.8%)

Threshold costs -7.6b (-13.8%)

Counts

2 → 2

Calls

Call 1

Inputs
-10
10

Outputs
10
-10

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
55.4b	2	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999898992378098	1.0000163625454606

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-neg-in_binary64`
8×	`distribute-lft-neg-in_binary64`
8×	`sub-neg_binary64`
7×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	88
1	44	82
2	67	82
3	91	82
4	113	82
5	118	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 -10 (fma.f64 x x -1))
(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
(/.f64 10 (-.f64 1 (*.f64 x x)))
(if (<=.f64 (.f64 x x) 1) (/.f64 10 (.f64 x x)) -10)
(if (<=.f64 x 1) 10 -10)
-10

Outputs
(/.f64 -10 (fma.f64 x x -1))
(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
(/.f64 10 (/.f64 (-.f64 1 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 x x)))) (-.f64 1 (neg.f64 (.f64 x x)))))
(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x x) (.f64 x x))) (+.f64 1 (.f64 x x))))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
(.f64 10 (/.f64 1 (-.f64 1 (.f64 x x))))
(/.f64 10 (-.f64 1 (*.f64 x x)))
(if (<=.f64 (.f64 x x) 1) (/.f64 10 (.f64 x x)) -10)
(if (<=.f64 x 1) 10 -10)
-10

end67.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 124 to 81 computations (34.7% saved)