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)

sample754.0ms (10.9%)

Results

742.0ms

8256×

body

256

valid

preprocess151.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

601×	`unsub-neg_binary64`
586×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
434×	`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	362	8
8	738	8
9	1536	8
10	2895	8
11	4312	8
12	5270	8
13	5580	8
14	5884	8
15	5985	8
16	6063	8
17	6331	8
18	7277	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 (neg.f64 x) 1))
(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify145.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

601×	`unsub-neg_binary64`
586×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
434×	`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	362	8
8	738	8
9	1536	8
10	2895	8
11	4312	8
12	5270	8
13	5580	8
14	5884	8
15	5985	8
16	6063	8
17	6331	8
18	7277	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 (neg.f64 x) 1))
(/.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))
▶	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.6%)

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 expm1.f64 (log1p.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 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 expm1.f64 (log1p.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 exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	226
1	112	210
2	338	206
3	1162	203
4	4868	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)
(*.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 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.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)))
(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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.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 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.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)))
(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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 10 (-.f64 1 (*.f64 x x)))
✓	7.9b	(-.f64 1 (*.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.8%)

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	1922	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 expm1.f64 (log1p.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (/.f64 10 (-.f64 1 (.f64 x x)))))))) (#(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 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 expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 expm1.f64 (log1p.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))) (#(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 exp.f64 (log.f64 (/.f64 10 (-.f64 1 (*.f64 x x)))))))))

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
361×	`distribute-neg-frac_binary64`
258×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	320
1	117	286
2	354	282
3	1199	279
4	4981	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)
(*.f64 10 (fma.f64 x x 1))
(fma.f64 x (*.f64 x 10) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 10 (pow.f64 x 4))))
(fma.f64 10 (.f64 x x) (+.f64 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)))
(-.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 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6)))
(-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 4))))
(+.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 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.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 8)) (/.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 (*.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 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6)))
(-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 -10 (pow.f64 x 4))))
(+.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 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))
(+.f64 (+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (/.f64 10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -10 (*.f64 x x)) (-.f64 (/.f64 10 (pow.f64 x 6)) (/.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 8)) (/.f64 -10 (pow.f64 x 6)))))

eval31.0ms (0.4%)

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

prune25.0ms (0.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	91	14	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	16	107

Error

0.0b

Counts

107 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
▶	0.5b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	22.0b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	7.9b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
▶	60.4b	(/.f64 -10 (*.f64 x x))
▶	22.7b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
	57.9b	10
	6.4b	(/.f64 10 (.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	21.4b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
▶	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
▶	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	1.4b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	22.6b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))

Compiler

Compiled 319 to 239 computations (25.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (fma.f64 x x -1))
✓	0.3b	(*.f64 (/.f64 1 (fma.f64 x x -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	@	-inf	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x x -1))
0.0ms	x	@	0	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
0.0ms	x	@	0	(/.f64 1 (fma.f64 x x -1))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 x x -1))

rewrite48.0ms (0.7%)

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	154	16
2	1641	16

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
(/.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 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 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 expm1.f64 (log1p.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 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 (/.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 (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 (/.f64 1 (cbrt.f64 (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 expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1))))))) (#(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 exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1))))))))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
394×	`sub-neg_binary64`
356×	`distribute-neg-frac_binary64`
331×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	438
1	156	414
2	468	406
3	1574	406
4	6068	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)
(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 10 (fma.f64 x x (pow.f64 x 4))))
(*.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))
(/.f64 (/.f64 -10 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 (pow.f64 x 4)) (/.f64 (/.f64 -10 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 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 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 (pow.f64 x 4)) (/.f64 (/.f64 -10 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 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 (/.f64 -10 x) x)) (+.f64 (/.f64 -10 (pow.f64 x 8)) (/.f64 -10 (pow.f64 x 6))))
-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)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6)))
(-.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 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 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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.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 (/.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 8)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 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 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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1 x) x) (/.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 (/.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 8)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 6)))))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	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))

rewrite43.0ms (0.6%)

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	1324	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 expm1.f64 (log1p.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -10 (pow.f64 x -2))))))))

simplify159.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`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	224	84
6	834	84
7	2043	84
8	2209	84
9	2393	84
10	2601	84
11	2898	84
12	3291	84
13	3772	84
14	4340	84
15	5028	84
16	5863	84
17	6255	84
18	6543	84
19	6819	84
20	6891	84
21	6927	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 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`pow1_binary64`
598×	`add-log-exp_binary64`
598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
585×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	146	16
2	1628	16

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
358×	`distribute-neg-frac_binary64`
255×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	118	297
2	350	293
3	1185	290
4	4932	287

Stop Event

1×	node limit

Counts

60 → 56

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 -10 (fma.f64 x x -1)))
	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	1.2b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))

Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f64 (/.f64 -10 (fma.f64 x x -1)))
1.0ms	x	@	0	(log1p.f64 (/.f64 -10 (fma.f64 x x -1)))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 -10 (fma.f64 x x -1)))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
587×	`expm1-log1p-u_binary64`
586×	`add-log-exp_binary64`
586×	`log1p-expm1-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	143	18
2	1577	18

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
(log1p.f64 (/.f64 -10 (fma.f64 x x -1)))

Outputs

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

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

525×	`associate-/r*_binary64`
413×	`unswap-sqr_binary64`
400×	`sub-neg_binary64`
381×	`fma-neg_binary64`
363×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	456
1	196	428
2	588	424
3	1998	424
4	7022	424

Stop Event

1×	node limit

Counts

69 → 73

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 11)
(+.f64 (*.f64 10/11 (pow.f64 x 2)) (log.f64 11))
(+.f64 (.f64 10/11 (pow.f64 x 2)) (+.f64 (.f64 60/121 (pow.f64 x 4)) (log.f64 11)))
(+.f64 (.f64 10/11 (pow.f64 x 2)) (+.f64 (.f64 1330/3993 (pow.f64 x 6)) (+.f64 (*.f64 60/121 (pow.f64 x 4)) (log.f64 11))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 60 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (*.f64 60 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3660 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (.f64 60 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -10 (pow.f64 x 2))
(neg.f64 (+.f64 (.f64 60 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (*.f64 60 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3660 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (.f64 60 (/.f64 1 (pow.f64 x 4)))))))

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 (fma.f64 x x 1) (pow.f64 x 4)))
(*.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))
(/.f64 (/.f64 -10 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 (/.f64 -10 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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 (/.f64 -10 x) x) (/.f64 10 (pow.f64 x 4))) (/.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 (/.f64 -10 (pow.f64 x 4)) (/.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 4))) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.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))
(/.f64 (/.f64 -10 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 (/.f64 -10 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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 (/.f64 -10 x) x) (/.f64 10 (pow.f64 x 4))) (/.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 (/.f64 -10 (pow.f64 x 4)) (/.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 4))) (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.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)))))
(log.f64 11)
(+.f64 (*.f64 10/11 (pow.f64 x 2)) (log.f64 11))
(fma.f64 10/11 (*.f64 x x) (log.f64 11))
(fma.f64 (*.f64 x x) 10/11 (log.f64 11))
(fma.f64 x (*.f64 x 10/11) (log.f64 11))
(+.f64 (.f64 10/11 (pow.f64 x 2)) (+.f64 (.f64 60/121 (pow.f64 x 4)) (log.f64 11)))
(fma.f64 10/11 (*.f64 x x) (fma.f64 60/121 (pow.f64 x 4) (log.f64 11)))
(fma.f64 (*.f64 x x) 10/11 (fma.f64 (pow.f64 x 4) 60/121 (log.f64 11)))
(fma.f64 x (*.f64 x 10/11) (fma.f64 (pow.f64 x 4) 60/121 (log.f64 11)))
(fma.f64 (pow.f64 x 4) 60/121 (fma.f64 x (*.f64 x 10/11) (log.f64 11)))
(+.f64 (.f64 10/11 (pow.f64 x 2)) (+.f64 (.f64 1330/3993 (pow.f64 x 6)) (+.f64 (*.f64 60/121 (pow.f64 x 4)) (log.f64 11))))
(fma.f64 10/11 (*.f64 x x) (fma.f64 1330/3993 (pow.f64 x 6) (fma.f64 60/121 (pow.f64 x 4) (log.f64 11))))
(fma.f64 (*.f64 x x) 10/11 (fma.f64 (pow.f64 x 6) 1330/3993 (fma.f64 (pow.f64 x 4) 60/121 (log.f64 11))))
(fma.f64 x (*.f64 x 10/11) (fma.f64 (pow.f64 x 4) 60/121 (fma.f64 (pow.f64 x 6) 1330/3993 (log.f64 11))))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(neg.f64 (+.f64 (.f64 60 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 60 (pow.f64 x 4))))
(+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -60 (pow.f64 x 4)))
(-.f64 (/.f64 -60 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))
(+.f64 (/.f64 (/.f64 -10 x) x) (/.f64 -60 (pow.f64 x 4)))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (*.f64 60 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 1330/3 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 60 (pow.f64 x 4)))))
(+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -60 (pow.f64 x 4))))
(+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (-.f64 (/.f64 -60 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x)))
(+.f64 (/.f64 (/.f64 -10 x) x) (+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (/.f64 -60 (pow.f64 x 4))))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3660 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (.f64 60 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 1330/3 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 60 (pow.f64 x 4))) (/.f64 3660 (pow.f64 x 8)))))
(-.f64 (/.f64 -1330/3 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 60 (pow.f64 x 4)) (/.f64 3660 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (-.f64 (/.f64 -60 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))) (/.f64 -3660 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 (/.f64 -10 x) x) (+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (/.f64 -60 (pow.f64 x 4)))) (/.f64 -3660 (pow.f64 x 8)))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(neg.f64 (+.f64 (.f64 60 (/.f64 1 (pow.f64 x 4))) (.f64 10 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 60 (pow.f64 x 4))))
(+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -60 (pow.f64 x 4)))
(-.f64 (/.f64 -60 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))
(+.f64 (/.f64 (/.f64 -10 x) x) (/.f64 -60 (pow.f64 x 4)))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (*.f64 60 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 1330/3 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 60 (pow.f64 x 4)))))
(+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -60 (pow.f64 x 4))))
(+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (-.f64 (/.f64 -60 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x)))
(+.f64 (/.f64 (/.f64 -10 x) x) (+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (/.f64 -60 (pow.f64 x 4))))
(neg.f64 (+.f64 (.f64 1330/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3660 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 x 2))) (.f64 60 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 1330/3 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 10 (*.f64 x x)) (/.f64 60 (pow.f64 x 4))) (/.f64 3660 (pow.f64 x 8)))))
(-.f64 (/.f64 -1330/3 (pow.f64 x 6)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 60 (pow.f64 x 4)) (/.f64 3660 (pow.f64 x 8)))))
(+.f64 (+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (-.f64 (/.f64 -60 (pow.f64 x 4)) (/.f64 (/.f64 10 x) x))) (/.f64 -3660 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 (/.f64 -10 x) x) (+.f64 (/.f64 -1330/3 (pow.f64 x 6)) (/.f64 -60 (pow.f64 x 4)))) (/.f64 -3660 (pow.f64 x 8)))

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series12.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.0ms	x	@	inf	(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
1.0ms	x	@	0	(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
675×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	191	18
2	1899	18

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

807×	`associate-*l/_binary64`
646×	`associate-*r/_binary64`
514×	`associate-/r/_binary64`
396×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	421
1	202	372
2	635	358
3	3056	286

Stop Event

1×	node limit

Counts

68 → 75

Calls

Call 1

Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (+.f64 (.f64 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 40/27 (+.f64 (.f64 -10/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (.f64 (+.f64 (.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))))) (pow.f64 x 6)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 -10))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (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) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 2))))))

Outputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(*.f64 10 (fma.f64 x x 1))
(fma.f64 x (*.f64 10 x) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 (+.f64 40/9 (.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)))) (pow.f64 x 4)))
(fma.f64 10 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)))) (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) 40/9) (pow.f64 x 4) 10))
(fma.f64 (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -10) (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9))) 40/9) (pow.f64 x 4) (*.f64 10 (fma.f64 x x 1)))
(fma.f64 (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -10) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9)) 40/9) (pow.f64 x 4) (fma.f64 x (*.f64 10 x) 10))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (+.f64 (.f64 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 40/27 (+.f64 (.f64 -10/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (.f64 (+.f64 (.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (fma.f64 (+.f64 40/9 (.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (cbrt.f64 -10) (cbrt.f64 -1)))) (pow.f64 x 4) (.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))) (+.f64 40/27 (fma.f64 -10/3 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (.f64 (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) (fma.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)) (*.f64 2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -10) 2))))))))) (pow.f64 x 6))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (fma.f64 (fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)))) (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) 40/9) (pow.f64 x 4) (.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))) (+.f64 (.f64 (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)) 4/27 (/.f64 (*.f64 -28/81 (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) 260/81)) (pow.f64 x 6))))
(fma.f64 10 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -10) (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9))) 40/9) (pow.f64 x 4) (fma.f64 (fma.f64 -1/3 (.f64 (cbrt.f64 -10) (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9)) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 -10) (.f64 (cbrt.f64 -1) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (neg.f64 (cbrt.f64 -1))) 4/27 (*.f64 (/.f64 -28/81 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -10) 2)))) 260/81)) (pow.f64 x 6) 10)))
(fma.f64 10 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -10) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9)) 40/9) (pow.f64 x 4) (fma.f64 (+.f64 260/81 (.f64 (cbrt.f64 -10) (+.f64 (.f64 -1/3 (/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (cbrt.f64 -10) 2) (+.f64 (/.f64 4/27 (neg.f64 (cbrt.f64 -1))) (/.f64 -28/81 (cbrt.f64 -1)))))))) (pow.f64 x 6) 10)))
(*.f64 (cbrt.f64 -1) (cbrt.f64 -10))
(*.f64 (cbrt.f64 -10) (cbrt.f64 -1))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (.f64 -1/3 (/.f64 (.f64 (*.f64 x x) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (/.f64 (.f64 (cbrt.f64 -10) -1/3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (.f64 -1/3 (/.f64 (.f64 x (*.f64 x (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (/.f64 (.f64 (cbrt.f64 -10) (.f64 (*.f64 x x) -1/3)) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (fma.f64 -1/3 (/.f64 (.f64 (.f64 x x) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (.f64 x x)) (.f64 -2/9 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 4)))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (.f64 x (.f64 x (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -2/9 (.f64 (pow.f64 x 4) (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 (.f64 x x) -1/3) (.f64 (pow.f64 x 4) -2/9))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (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) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (fma.f64 -1/3 (/.f64 (.f64 (.f64 x x) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (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) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))))))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (.f64 x x)) (fma.f64 -2/9 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 4)) (/.f64 (.f64 -14/81 (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (.f64 x (.f64 x (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -2/9 (.f64 (pow.f64 x 4) (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (/.f64 -14/81 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))))))
(+.f64 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 (.f64 x x) -1/3) (.f64 (pow.f64 x 4) -2/9))) (.f64 (cbrt.f64 -10) (+.f64 (cbrt.f64 -1) (.f64 (/.f64 -14/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6)))))

eval218.0ms (3.2%)

Compiler: Compiled 4809 to 3910 computations (18.7% saved)

prune121.0ms (1.8%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	350	13	363
Fresh	5	4	9
Picked	0	1	1
Done	1	5	6
Total	356	23	379

Error

Counts

379 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	42.9b	(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	2.0b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
▶	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	7.9b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
✓	60.4b	(/.f64 -10 (*.f64 x x))
▶	6.9b	(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
	22.6b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	1.8b	(pow.f64 (*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 3)
	1.3b	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -10)
✓	22.7b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
	57.9b	10
	6.4b	(/.f64 10 (.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))
	1.4b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
▶	21.4b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
▶	60.4b	(/.f64 (/.f64 -10 x) x)
	22.0b	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1)

Compiler

Compiled 449 to 345 computations (23.2% saved)

localize22.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (fma.f64 x x -1) -10)
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

Compiler

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (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	1827	16

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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 1 (/.f64 -10 (fma.f64 x x -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 (/.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 expm1.f64 (log1p.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 exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

((#(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 1 (*.f64 (fma.f64 x x -1) -1/10))))) (#(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 (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 (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 (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 (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 (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 expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -1) -1/10)))))) (#(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 exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10)))))))

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
359×	`distribute-neg-frac_binary64`
257×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	118	297
2	350	293
3	1185	290
4	4923	287

Stop Event

1×	node limit

Counts

70 → 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)))))))
1/10
(+.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)))

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.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)

rewrite45.0ms (0.6%)

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 expm1.f64 (log1p.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -10 (*.f64 x x))))))))

simplify160.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`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	224	84
6	834	84
7	2043	84
8	2209	84
9	2393	84
10	2601	84
11	2898	84
12	3291	84
13	3772	84
14	4340	84
15	5028	84
16	5863	84
17	6255	84
18	6543	84
19	6819	84
20	6891	84
21	6927	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 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))
(/.f64 -10 (pow.f64 x 2))
(/.f64 -10 (*.f64 x x))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
✓	0.4b	(*.f64 -1/10 x)
✓	7.4b	(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)
1.0ms	x	@	-inf	(fma.f64 x (*.f64 -1/10 x) 1/10)
0.0ms	x	@	-inf	(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
0.0ms	x	@	inf	(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
637×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	163	23
2	1743	23

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
358×	`distribute-neg-frac_binary64`
255×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	118	297
2	350	293
3	1185	290
4	4932	287

Stop Event

1×	node limit

Counts

75 → 71

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	0.3b	(/.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)
1.0ms	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	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
0.0ms	x	@	0	(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))

rewrite71.0ms (1%)

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	2025	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 (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 (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 (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 expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 2)))))) (#(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 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 expm1.f64 (log1p.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2))))))) (#(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 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 expm1.f64 (log1p.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 exp.f64 (log.f64 (/.f64 10 (fma.f64 x x -1))))))))

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-def_binary64`
582×	`distribute-rgt-out_binary64`
446×	`unswap-sqr_binary64`
433×	`distribute-lft-out_binary64`
369×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	551
1	186	545
2	462	524
3	1243	524
4	4630	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))
(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))
(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 x 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))
(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))
(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 x 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))
(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))
(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 (fma.f64 (.f64 x x) 200 100) (.f64 (pow.f64 x 4) 300))
(fma.f64 (pow.f64 x 4) 300 (fma.f64 x (*.f64 x 200) 100))
(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) 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 (fma.f64 400 (pow.f64 x 6) (.f64 (pow.f64 x 4) 300)) (fma.f64 (.f64 x x) 200 100))
(fma.f64 400 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) 300 (fma.f64 x (*.f64 x 200) 100)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 300) 200) (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 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 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 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))) (+.f64 (/.f64 100 (pow.f64 x 4)) (/.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 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 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 (/.f64 200 (pow.f64 x 6)) (/.f64 300 (pow.f64 x 8))) (+.f64 (/.f64 100 (pow.f64 x 4)) (/.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 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 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.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 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 (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))
(+.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 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 4)) (/.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 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 (pow.f64 x 4)) (+.f64 (/.f64 10 (*.f64 x x)) (+.f64 (/.f64 10 (pow.f64 x 6)) (/.f64 10 (pow.f64 x 8)))))

localize65.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1))))
✓	0.6b	(cbrt.f64 (fma.f64 x x -1))
✓	0.8b	(pow.f64 (*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 3)
✓	1.0b	(cbrt.f64 -10)

Compiler

Compiled 46 to 35 computations (23.9% saved)

series9.0ms (0.1%)

Counts

4 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(cbrt.f64 (fma.f64 x x -1))
1.0ms	x	@	inf	(pow.f64 (*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 3)
1.0ms	x	@	-inf	(pow.f64 (*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 3)
1.0ms	x	@	inf	(cbrt.f64 (fma.f64 x x -1))

rewrite115.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
904×	`add-log-exp_binary64`
902×	`log1p-expm1-u_binary64`
902×	`expm1-log1p-u_binary64`
108×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	243	28
2	2606	28

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

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

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

simplify162.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

719×	`associate-+l+_binary64`
605×	`associate-/r/_binary64`
571×	`associate-+r+_binary64`
404×	`associate-/l/_binary64`
396×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	529
1	242	478
2	758	460
3	3639	388

Stop Event

1×	node limit

Counts

105 → 115

Calls

Call 1

Inputs
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (.f64 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (+.f64 (.f64 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 40/27 (+.f64 (.f64 -10/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (.f64 (+.f64 (.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))))) (pow.f64 x 6)))))
(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 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 -10))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (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) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 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 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (.f64 (+.f64 40/9 (.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (cbrt.f64 -10) (cbrt.f64 -1)))) (pow.f64 x 4)))
(fma.f64 10 (.f64 x x) (fma.f64 (fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)))) (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) 40/9) (pow.f64 x 4) 10))
(fma.f64 (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -10) (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9))) 40/9) (pow.f64 x 4) (fma.f64 x (*.f64 10 x) 10))
(fma.f64 (fma.f64 (cbrt.f64 -10) (.f64 (cbrt.f64 -1) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9)) 40/9) (pow.f64 x 4) (*.f64 10 (fma.f64 x x 1)))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 10 (+.f64 (.f64 (+.f64 40/9 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (cbrt.f64 -1) (cbrt.f64 -10)))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (cbrt.f64 -10)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 40/27 (+.f64 (.f64 -10/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9)) (.f64 (+.f64 (.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 -10)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (fma.f64 (+.f64 40/9 (.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (.f64 (cbrt.f64 -10) (cbrt.f64 -1)))) (pow.f64 x 4) (.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (/.f64 (.f64 1/9 (pow.f64 (cbrt.f64 -10) 2)) (pow.f64 (cbrt.f64 -1) 4))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))) (+.f64 40/27 (fma.f64 -10/3 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (.f64 (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) (fma.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)) (*.f64 2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -10) 2))))))))) (pow.f64 x 6))))
(+.f64 (fma.f64 10 (.f64 x x) 10) (fma.f64 (fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)))) (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) 40/9) (pow.f64 x 4) (.f64 (fma.f64 -1/3 (/.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))) (+.f64 (.f64 (.f64 (cbrt.f64 -10) (cbrt.f64 -1)) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 (cbrt.f64 -1) -1)) 4/27 (/.f64 -28/81 (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -10) 2))))) 260/81)) (pow.f64 x 6))))
(fma.f64 10 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 -10) (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9))) 40/9) (pow.f64 x 4) (fma.f64 (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9))) (fma.f64 (cbrt.f64 -10) (.f64 (cbrt.f64 -1) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (neg.f64 (cbrt.f64 -1))) 4/27 (*.f64 (/.f64 -28/81 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -10) 2)))) 260/81)) (pow.f64 x 6) 10)))
(fma.f64 10 (.f64 x x) (fma.f64 (fma.f64 (cbrt.f64 -10) (.f64 (cbrt.f64 -1) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9)) 40/9) (pow.f64 x 4) (fma.f64 (+.f64 260/81 (.f64 (cbrt.f64 -10) (+.f64 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9) -1/3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (cbrt.f64 -10) 2) (+.f64 (/.f64 4/27 (neg.f64 (cbrt.f64 -1))) (/.f64 -28/81 (cbrt.f64 -1)))))))) (pow.f64 x 6) 10)))
(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 x) (pow.f64 (cbrt.f64 -1) 2)) (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 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))
(fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1)))
(+.f64 (.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (+.f64 (cbrt.f64 -1) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))))))
(+.f64 (fma.f64 1/3 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 -1) 2) x)) (*.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (fma.f64 1/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))))
(fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (cbrt.f64 -1))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 -10))
(*.f64 (cbrt.f64 -10) (cbrt.f64 -1))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (/.f64 (.f64 -1/3 (.f64 (*.f64 x x) (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2)))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (.f64 -1/3 (.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -10))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (.f64 (/.f64 (.f64 (cbrt.f64 -10) -1/3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 x x)))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (/.f64 (*.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (fma.f64 -1/3 (/.f64 (cbrt.f64 -10) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x))) (/.f64 (.f64 -2/9 (*.f64 (cbrt.f64 -10) (pow.f64 x 4))) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (.f64 x x)) (*.f64 -2/9 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -10)) (.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 (.f64 -1/3 x) x) (.f64 (pow.f64 x 4) -2/9))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 -10)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (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) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))) (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 -10) (fma.f64 -1/3 (/.f64 (cbrt.f64 -10) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 x x))) (fma.f64 -2/9 (/.f64 (cbrt.f64 -10) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 4))) (.f64 1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 -10) (pow.f64 x 6))))))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (.f64 x x)) (fma.f64 -2/9 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -10))) (/.f64 -14/81 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 -10) (pow.f64 x 6)))))))
(fma.f64 (cbrt.f64 -10) (cbrt.f64 -1) (fma.f64 -1/3 (.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -10)) (fma.f64 -2/9 (/.f64 (.f64 (cbrt.f64 -10) (pow.f64 x 4)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (.f64 (pow.f64 x 6) (*.f64 -14/81 (cbrt.f64 -10))) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 (/.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 (.f64 -1/3 x) x) (.f64 (pow.f64 x 4) -2/9))) (.f64 (cbrt.f64 -10) (+.f64 (cbrt.f64 -1) (.f64 (/.f64 -14/81 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 6)))))

eval320.0ms (4.6%)

Compiler: Compiled 5463 to 4410 computations (19.3% saved)

prune88.0ms (1.3%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	387	10	397
Fresh	7	5	12
Picked	0	1	1
Done	3	7	10
Total	397	23	420

Error

Counts

420 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	42.9b	(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
✓	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	7.9b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
	1.2b	(.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))
	21.4b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
▶	57.9b	(/.f64 10 (*.f64 x x))
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
✓	1.8b	(pow.f64 (*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 3)
	57.9b	10
▶	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
▶	22.0b	(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))
▶	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
✓	22.7b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
	6.4b	(/.f64 10 (.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))
	22.6b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
	22.0b	(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2) 3))
	60.4b	-10
✓	21.4b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
▶	6.9b	(/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))

Compiler

Compiled 399 to 307 computations (23.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (fma.f64 x x -1))
✓	0.4b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)

Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite163.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
645×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
634×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	8
2	1832	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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 1 (/.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 (/.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 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) -10))))) (#(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 (pow.f64 (fma.f64 x x -1) -1/2) (*.f64 (pow.f64 (fma.f64 x x -1) -1/2) -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 -10 (/.f64 1 (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 neg.f64 (/.f64 (/.f64 1 (fma.f64 x x -1)) 1/10))))) (#(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 expm1.f64 (log1p.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 exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify155.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	226
1	112	210
2	338	206
3	1162	203
4	4868	200

Stop Event

1×	node limit

Counts

35 → 38

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)
(*.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 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.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)))
(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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.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 (*.f64 x x)) (/.f64 10 (pow.f64 x 4)))
(+.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)))
(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 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 6))) (/.f64 -10 (pow.f64 x 8)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 8))) (/.f64 -10 (pow.f64 x 6))))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	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))

rewrite47.0ms (0.7%)

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	1324	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 expm1.f64 (log1p.f64 (*.f64 10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 10 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 10 (pow.f64 x -2))))))))

simplify165.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
552×	`fabs-mul_binary64`
523×	`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	224	84
6	834	84
7	2043	84
8	2209	84
9	2392	84
10	2600	84
11	2897	84
12	3290	84
13	3771	84
14	4339	84
15	5025	84
16	5860	84
17	6248	84
18	6536	84
19	6814	84
20	6888	84
21	6924	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 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))
(/.f64 10 (pow.f64 x 2))
(/.f64 10 (*.f64 x x))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))
✓	0.4b	(*.f64 x -1/10)
✓	7.4b	(fma.f64 x (*.f64 x -1/10) 1/10)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite165.0ms (2.4%)

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	1730	23

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
354×	`distribute-neg-frac_binary64`
266×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	379
1	120	345
2	350	341
3	1185	338
4	4914	335

Stop Event

1×	node limit

Counts

93 → 78

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)
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))
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))

rewrite57.0ms (0.8%)

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	1940	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 expm1.f64 (log1p.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 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 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 expm1.f64 (log1p.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 exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

723×	`associate-/r*_binary64`
704×	`fma-neg_binary64`
575×	`associate-r_binary64`
377×	`cancel-sign-sub-inv_binary64`
249×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	524
1	179	490
2	551	475
3	1987	469
4	7868	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))
(+.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 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.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) (*.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 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.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) (*.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)))))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10))
✓	0.2b	(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)
	0.4b	(*.f64 (fma.f64 x x -1) -1/10)

Compiler

Compiled 43 to 32 computations (25.6% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)
2.0ms	x	@	0	(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)
1.0ms	x	@	inf	(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2)

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	224	26
2	2133	26

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

573×	`associate-/l/_binary64`
543×	`fma-def_binary64`
532×	`fma-neg_binary64`
375×	`unswap-sqr_binary64`
284×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1121
1	374	704
2	1254	674
3	4745	604

Stop Event

1×	node limit

Counts

117 → 130

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 6)))))
(*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))))
(*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))))
(/.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/10) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1/10) 2))) (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/10) 2)))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1/10) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/10) 2))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1/10) 2))))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 8))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 8))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(*.f64 (sqrt.f64 -1/10) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 2)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 2)) (sqrt.f64 -1))) (+.f64 (.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)) (.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 2)) (sqrt.f64 -1))) (+.f64 (.f64 1/16 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)) (.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 (sqrt.f64 -1/10) x)
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x)) (.f64 (sqrt.f64 -1/10) x))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (*.f64 (sqrt.f64 -1/10) x)))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 -1/10) x) (.f64 -1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5))))))
(.f64 -1 (.f64 (sqrt.f64 -1/10) x))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1/10) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1/10) x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (.f64 1/2 (/.f64 (sqrt.f64 -1/10) x))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5))) (*.f64 1/2 (/.f64 (sqrt.f64 -1/10) x)))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2))
1/10
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(*.f64 -1/10 (fma.f64 x x -1))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(*.f64 -1/10 (fma.f64 x x -1))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 4))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 (sqrt.f64 -1) 4)))) (pow.f64 x 6)))))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(*.f64 -1/10 (fma.f64 x x -1))
(*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))
(.f64 -1/10 (.f64 x x))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(*.f64 -1/10 (fma.f64 x x -1))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(*.f64 -1/10 (fma.f64 x x -1))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x)) (fma.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)) (fma.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))))))))
(+.f64 (/.f64 -1/80 (pow.f64 x 4)) (+.f64 (/.f64 -1/40 (.f64 x x)) (+.f64 (+.f64 1/10 (/.f64 1/40 (.f64 x x))) (fma.f64 -1/10 (*.f64 x x) (/.f64 1/80 (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 -1/80 (pow.f64 x 4)) (fma.f64 -1/10 (fma.f64 x x -1) (.f64 (/.f64 -1/10 (.f64 x x)) 0))) (/.f64 1/80 (pow.f64 x 4)))
(+.f64 (.f64 -1/10 (fma.f64 x x -1)) (.f64 (/.f64 -1/10 (pow.f64 x 4)) 0))
(*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))
(.f64 -1/10 (.f64 x x))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(*.f64 -1/10 (fma.f64 x x -1))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(.f64 (pow.f64 (sqrt.f64 -1/10) 2) (+.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(*.f64 -1/10 (fma.f64 x x -1))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2)) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))))
(fma.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x)) (fma.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x) (fma.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)) (fma.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))))))))
(+.f64 (/.f64 -1/80 (pow.f64 x 4)) (+.f64 (/.f64 -1/40 (.f64 x x)) (+.f64 (+.f64 1/10 (/.f64 1/40 (.f64 x x))) (fma.f64 -1/10 (*.f64 x x) (/.f64 1/80 (pow.f64 x 4))))))
(+.f64 (+.f64 (/.f64 -1/80 (pow.f64 x 4)) (fma.f64 -1/10 (fma.f64 x x -1) (.f64 (/.f64 -1/10 (.f64 x x)) 0))) (/.f64 1/80 (pow.f64 x 4)))
(+.f64 (.f64 -1/10 (fma.f64 x x -1)) (.f64 (/.f64 -1/10 (pow.f64 x 4)) 0))
(/.f64 -1 (pow.f64 (sqrt.f64 -1/10) 2))
10
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/10) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(-.f64 (neg.f64 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1/10) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(fma.f64 -1 (/.f64 (*.f64 x x) -1/10) 10)
(-.f64 10 (*.f64 (/.f64 x -1/10) x))
(fma.f64 10 (*.f64 x x) 10)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1/10) 2))) (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/10) 2)))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(-.f64 (.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1/10) 2)) (/.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1/10) 2)))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(fma.f64 -1 (+.f64 (/.f64 (*.f64 x x) -1/10) (/.f64 (pow.f64 x 4) -1/10)) 10)
(+.f64 (.f64 10 (.f64 x x)) (+.f64 (*.f64 10 (pow.f64 x 4)) 10))
(fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1/10) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1/10) 2))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1/10) 2))))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1/10) 2)) (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1/10) 2)) (neg.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1/10) 2))))) (/.f64 1 (pow.f64 (sqrt.f64 -1/10) 2)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (*.f64 x x)) -1/10) (/.f64 (pow.f64 x 4) -1/10)) (/.f64 (pow.f64 x 6) -1/10)) 10)
(+.f64 (.f64 10 (.f64 x x)) (-.f64 (+.f64 (.f64 10 (pow.f64 x 4)) (.f64 10 (pow.f64 x 6))) -10))
(fma.f64 10 (pow.f64 x 6) (fma.f64 10 (*.f64 x x) (fma.f64 10 (pow.f64 x 4) 10)))
(/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))
(/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x)))
(/.f64 -10 (*.f64 x x))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))))
(+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 4)))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 6))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 8))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 8))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)))))
(+.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.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 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))
(/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x)))
(/.f64 -10 (*.f64 x x))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))))
(+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 4)))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -10 (pow.f64 x 6)) (/.f64 -10 (*.f64 x x))) (/.f64 -10 (pow.f64 x 4)))
(+.f64 (/.f64 -10 (*.f64 x x)) (+.f64 (/.f64 -10 (pow.f64 x 4)) (/.f64 -10 (pow.f64 x 6))))
(+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 8))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 8))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 6)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1/10) 2) (.f64 x x))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1/10) 2) (pow.f64 x 4)))))
(+.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -10 (*.f64 x x)) (/.f64 -10 (pow.f64 x 4))) (/.f64 -10 (pow.f64 x 8))))
(+.f64 (/.f64 -10 (pow.f64 x 6)) (+.f64 (/.f64 -10 (pow.f64 x 4)) (+.f64 (/.f64 -10 (*.f64 x x)) (/.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 (sqrt.f64 -1/10) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 2)) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (sqrt.f64 -1/10) (/.f64 (sqrt.f64 -1) (.f64 x x))) (.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)) (*.f64 x x))))
(fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 1/2 (.f64 (*.f64 x x) (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (sqrt.f64 -1/10) (*.f64 x x))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 2)) (sqrt.f64 -1))) (+.f64 (.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)) (.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 -1/10) (/.f64 (sqrt.f64 -1) (.f64 x x))) (fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (/.f64 (.f64 -1/8 (*.f64 (sqrt.f64 -1/10) (pow.f64 x 4))) (pow.f64 (sqrt.f64 -1) 3))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)) (.f64 x x)) (fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 1/8 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 4)) (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (sqrt.f64 -1/10) (/.f64 (sqrt.f64 -1) (pow.f64 x 4))) (fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 1/2 (.f64 (*.f64 x x) (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1))) (+.f64 1/2 (/.f64 -1/8 (/.f64 -1 (.f64 x x))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 2)) (sqrt.f64 -1))) (+.f64 (.f64 1/16 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)) (.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 -1/10) (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 -1/10) (/.f64 (sqrt.f64 -1) (.f64 x x))) (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 -1/10) (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)) (fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (/.f64 (.f64 -1/8 (.f64 (sqrt.f64 -1/10) (pow.f64 x 4))) (pow.f64 (sqrt.f64 -1) 3)))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1)) (.f64 x x)) (fma.f64 1/16 (.f64 (/.f64 (sqrt.f64 -1/10) (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 6)) (fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 1/8 (/.f64 (*.f64 (sqrt.f64 -1/10) (pow.f64 x 4)) (sqrt.f64 -1))))))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (fma.f64 1/8 (/.f64 (sqrt.f64 -1/10) (/.f64 (sqrt.f64 -1) (pow.f64 x 4))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sqrt.f64 -1) 5) (sqrt.f64 -1/10)))))))
(fma.f64 1/16 (.f64 (pow.f64 x 6) (/.f64 (sqrt.f64 -1/10) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 -1/10) (sqrt.f64 -1) (.f64 (.f64 (.f64 x x) (/.f64 (sqrt.f64 -1/10) (sqrt.f64 -1))) (+.f64 1/2 (/.f64 -1/8 (/.f64 -1 (*.f64 x x)))))))
(*.f64 (sqrt.f64 -1/10) x)
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x)) (.f64 (sqrt.f64 -1/10) x))
(fma.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x) (*.f64 (sqrt.f64 -1/10) x))
(fma.f64 (sqrt.f64 -1/10) x (*.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x)))
(fma.f64 (sqrt.f64 -1/10) x (/.f64 (*.f64 (sqrt.f64 -1/10) -1/2) x))
(*.f64 (sqrt.f64 -1/10) (-.f64 x (/.f64 1/2 x)))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (*.f64 (sqrt.f64 -1/10) x)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x) (fma.f64 -1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)) (*.f64 (sqrt.f64 -1/10) x)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x) (fma.f64 (sqrt.f64 -1/10) x (*.f64 -1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)))))
(fma.f64 (sqrt.f64 -1/10) x (.f64 (/.f64 (sqrt.f64 -1/10) x) (+.f64 -1/2 (/.f64 -1/8 (.f64 x x)))))
(fma.f64 (sqrt.f64 -1/10) x (*.f64 (/.f64 (sqrt.f64 -1/10) x) (+.f64 (/.f64 (/.f64 -1/8 x) x) -1/2)))
(+.f64 (.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (+.f64 (.f64 (sqrt.f64 -1/10) x) (.f64 -1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5))))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 -1/10) x) (fma.f64 -1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)) (fma.f64 (sqrt.f64 -1/10) x (*.f64 -1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5))))))
(+.f64 (fma.f64 (sqrt.f64 -1/10) x (.f64 (/.f64 (sqrt.f64 -1/10) x) (+.f64 -1/2 (/.f64 -1/8 (.f64 x x))))) (*.f64 -1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5))))
(+.f64 (.f64 (sqrt.f64 -1/10) (-.f64 x (/.f64 1/16 (pow.f64 x 5)))) (.f64 (/.f64 (sqrt.f64 -1/10) x) (+.f64 (/.f64 (/.f64 -1/8 x) x) -1/2)))
(.f64 -1 (.f64 (sqrt.f64 -1/10) x))
(neg.f64 (*.f64 (sqrt.f64 -1/10) x))
(*.f64 (sqrt.f64 -1/10) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 -1/10)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1/10) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1/10) x)))
(fma.f64 -1 (.f64 (sqrt.f64 -1/10) x) (.f64 1/2 (/.f64 (sqrt.f64 -1/10) x)))
(-.f64 (/.f64 1/2 (/.f64 x (sqrt.f64 -1/10))) (*.f64 (sqrt.f64 -1/10) x))
(-.f64 (.f64 1/2 (/.f64 (sqrt.f64 -1/10) x)) (.f64 (sqrt.f64 -1/10) x))
(*.f64 (sqrt.f64 -1/10) (-.f64 (/.f64 1/2 x) x))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (.f64 1/2 (/.f64 (sqrt.f64 -1/10) x))))
(fma.f64 -1 (.f64 (sqrt.f64 -1/10) x) (fma.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)) (.f64 1/2 (/.f64 (sqrt.f64 -1/10) x))))
(-.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x (sqrt.f64 -1/10)))) (*.f64 (sqrt.f64 -1/10) x))
(-.f64 (.f64 (/.f64 (sqrt.f64 -1/10) x) (+.f64 (/.f64 (/.f64 1/8 x) x) 1/2)) (.f64 (sqrt.f64 -1/10) x))
(fma.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)) (*.f64 (sqrt.f64 -1/10) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1/10) x)) (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5))) (*.f64 1/2 (/.f64 (sqrt.f64 -1/10) x)))))
(fma.f64 -1 (.f64 (sqrt.f64 -1/10) x) (fma.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)) (fma.f64 1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5)) (.f64 1/2 (/.f64 (sqrt.f64 -1/10) x)))))
(-.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1/10) x) (.f64 1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5))))) (.f64 (sqrt.f64 -1/10) x))
(-.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 -1/10) (pow.f64 x 5)) (.f64 (/.f64 (sqrt.f64 -1/10) x) (+.f64 (/.f64 (/.f64 1/8 x) x) 1/2))) (.f64 (sqrt.f64 -1/10) x))
(+.f64 (.f64 (/.f64 (sqrt.f64 -1/10) x) (+.f64 (/.f64 (/.f64 1/8 x) x) 1/2)) (.f64 (sqrt.f64 -1/10) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x)))

eval592.0ms (8.5%)

Compiler: Compiled 6220 to 5047 computations (18.9% saved)

prune375.0ms (5.4%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	445	7	452
Fresh	4	6	10
Picked	1	0	1
Done	3	9	12
Total	453	22	475

Error

Counts

475 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(/.f64 1 (+.f64 (.f64 (.f64 x x) -1/10) 1/10))
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
✓	57.9b	(/.f64 10 (*.f64 x x))
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	57.9b	10
	8.5b	(/.f64 1 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) -1/10) (.f64 (.f64 x x) -1/10)) 1/100) (-.f64 (.f64 (*.f64 x x) -1/10) 1/10)))
✓	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
	42.9b	(/.f64 (expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1)))) -1/10)
	22.0b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)
	22.2b	(/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3/2)) 2))
✓	21.4b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	22.7b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
	6.4b	(/.f64 10 (.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))
	22.6b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	7.9b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
	60.4b	-10
	42.9b	(/.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -1/10)
✓	6.9b	(/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))

Compiler

Compiled 229 to 173 computations (24.5% saved)

regimes382.0ms (5.5%)

Counts

46 → 1

Calls

Call 1

Inputs
10
-10
10
(/.f64 10 (*.f64 x x))
(/.f64 (/.f64 -10 x) x)
(/.f64 -10 (*.f64 x x))
(/.f64 10 (-.f64 1 (*.f64 x x)))
(/.f64 1 (+.f64 (.f64 (.f64 x x) -1/10) 1/10))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 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 (.f64 x x) -1/10) (.f64 (.f64 x x) -1/10)) 1/100) (-.f64 (.f64 (*.f64 x x) -1/10) 1/10)))
(/.f64 -10 (fma.f64 x x -1))
(/.f64 1 (fma.f64 x (*.f64 x -1/10) 1/10))
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
(/.f64 10 (.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) -2)
(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
(/.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -1/10)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
(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 (expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1)))) -1/10)
(/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -10)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1) -1/10)) 2) -1)
(pow.f64 (*.f64 (cbrt.f64 -10) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) 3/2)) 2))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 10 (fma.f64 x x -1))) 2) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 -10) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))

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

Calls

7 calls:

183.0ms	(-.f64 1 (*.f64 x x))
47.0ms	(*.f64 x x)
40.0ms	x
25.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
25.0ms	(-.f64 1 (*.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 492 to 363 computations (26.2% saved)

regimes77.0ms (1.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	(*.f64 x x)
11.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
8.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
7.0ms	(-.f64 1 (*.f64 x x))
7.0ms	x

Results

Error	Segments	Branch
7.9b	1	`x`
7.9b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.9b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.9b	1	`(-.f64 1 (*.f64 x x))`
7.9b	1	`(*.f64 x x)`

Compiler

Compiled 115 to 71 computations (38.3% saved)

regimes192.0ms (2.8%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

152.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
13.0ms	(-.f64 1 (*.f64 x x))
12.0ms	x
12.0ms	(*.f64 x x)

Results

Error	Segments	Branch
7.9b	1	`x`
7.9b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.9b	1	`(-.f64 1 (*.f64 x x))`
7.9b	1	`(*.f64 x x)`

Compiler

Compiled 55 to 35 computations (36.4% saved)

regimes52.0ms (0.8%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
21.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999784701681915	1.000003071402024

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Accuracy

Total -7.6b remaining (-13.8%)

Threshold costs -7.6b (-13.8%)

Counts

3 → 2

Calls

Call 1

Inputs
10
-10
10

Outputs
10
-10

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
55.4b	2	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999892350261534	1.0000015356998329

Compiler

Compiled 12 to 9 computations (25% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	27	57
2	33	57
3	37	57
4	39	57

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 47 to 35 computations (25.5% saved)

soundness331.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

601×	`unsub-neg_binary64`
586×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
434×	`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	362	8
8	738	8
9	1536	8
10	2895	8
11	4312	8
12	5270	8
13	5580	8
14	5884	8
15	5985	8
16	6063	8
17	6331	8
18	7277	8

Stop Event

1×	node limit

Compiler

Compiled 110 to 86 computations (21.8% saved)

end47.0ms (0.7%)

Compiler: Compiled 42 to 28 computations (33.3% saved)