Details

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
50%	0%	0%	100%	0%	0%	0%	2
75%	0%	0%	100%	0%	0%	0%	3
87.5%	0%	0%	100%	0%	0%	0%	4
93.8%	0%	0%	100%	0%	0%	0%	5
96.9%	0%	0%	100%	0%	0%	0%	6
98.4%	0%	0%	100%	0%	0%	0%	7
99.2%	0%	0%	100%	0%	0%	0%	8
99.6%	0%	0%	100%	0%	0%	0%	9
99.8%	0%	0%	100%	0%	0%	0%	10
99.9%	0%	0%	100%	0%	0%	0%	11
100%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample849.0ms (11.7%)

Results

833.0ms

8256×

body

256

valid

Bogosity

preprocess235.0ms (3.2%)

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)

simplify226.0ms (3.1%)

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)

prune2.0ms (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
▶	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	0.3b	(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize11.0ms (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)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	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))

rewrite63.0ms (0.9%)

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))))))))

simplify70.0ms (1%)

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))))

localize11.0ms (0.2%)

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)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 10 (-.f64 1 (*.f64 x x)))
1.0ms	x	@	inf	(-.f64 1 (*.f64 x x))
1.0ms	x	@	0	(-.f64 1 (*.f64 x x))
1.0ms	x	@	inf	(/.f64 10 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 10 (-.f64 1 (*.f64 x x)))

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify57.0ms (0.8%)

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)))))

eval29.0ms (0.4%)

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

prune25.0ms (0.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

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

Error

0.1b

Counts

107 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	22.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
▶	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)))))
	58.0b	10
	6.8b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
	23.7b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	60.3b	(/.f64 -10 (*.f64 x x))
▶	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
▶	0.5b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	1.2b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
▶	0.3b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)

Compiler

Compiled 233 to 171 computations (26.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

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 (fma.f64 x x -1))
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x x -1))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 x x -1))
0.0ms	x	@	inf	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)

rewrite60.0ms (0.8%)

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

Outputs

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

((#(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))))))))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

525×	`fma-neg_binary64`
413×	`unswap-sqr_binary64`
394×	`sub-neg_binary64`
361×	`distribute-neg-frac_binary64`
329×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	438
1	156	414
2	468	406
3	1561	406
4	6037	406

Stop Event

1×	node limit

Counts

60 → 66

Calls

Call 1

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

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

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))

rewrite51.0ms (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))))))))

simplify158.0ms (2.2%)

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))

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))
✓	0.5b	(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
✓	6.9b	(-.f64 1 (.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))))

Compiler

Compiled 74 to 22 computations (70.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite114.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
300×	`pow-prod-down_binary64`
262×	`fma-def_binary64`
246×	`pow-unpow_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	260	34
2	4090	24

Stop Event

1×	node limit

Counts

4 → 204

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (pow.f64 x 4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (pow.f64 x 4))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 4))) 2) (cbrt.f64 (+.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 (.f64 x x)) (hypot.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x 12)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 (hypot.f64 1 (.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)) (-.f64 1 (pow.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 12)) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 8)) (+.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 12))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x 8))) (+.f64 -1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x 12)) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (.f64 x x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)) (-.f64 1 (pow.f64 x 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (.f64 x x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 1 (.f64 x x)) (hypot.f64 (.f64 x x) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 8)) (neg.f64 (.f64 x (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 8))) (.f64 x (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) 1) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) -1) x 1)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 10 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) (.f64 (.f64 x x) (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) 1) (.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 10 (fma.f64 x x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 10 (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 10 (fma.f64 x x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 10 (fma.f64 x x 1))))))))) (#(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 1 (/.f64 10 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x 1) (/.f64 -10 (+.f64 -1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 10 (pow.f64 (hypot.f64 1 x) -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 (cbrt.f64 (/.f64 10 (fma.f64 x x 1))) (cbrt.f64 (/.f64 100 (pow.f64 (hypot.f64 1 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 100 (pow.f64 (hypot.f64 1 x) 4))) (cbrt.f64 (/.f64 10 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 10) (hypot.f64 1 x)) (/.f64 (sqrt.f64 10) (hypot.f64 1 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 (pow.f64 (hypot.f64 1 x) -2) 10)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) 1) (fma.f64 x x 1))))) (#(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 .f64 (.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) 4))) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x)) (hypot.f64 1 x))))) (#(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 100 (pow.f64 (hypot.f64 1 x) 4)) 1/2)))) (#(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 (/.f64 (sqrt.f64 10) (hypot.f64 1 x)) 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 (.f64 (fma.f64 x x 1) 1/10) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 100 (pow.f64 (hypot.f64 1 x) 4)))))) (#(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 exp.f64 (.f64 (log.f64 (/.f64 10 (fma.f64 x x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) (.f64 (.f64 x x) (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 10 (pow.f64 (hypot.f64 1 (.f64 x x)) -2) (.f64 (.f64 x x) (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) 1 (.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4))) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))) 2) (cbrt.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))) (.f64 (.f64 x x) (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))) (sqrt.f64 (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))) (.f64 (.f64 x x) (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 10 (-.f64 1 (pow.f64 x 12))) (+.f64 (+.f64 1 (pow.f64 x 8)) (pow.f64 x 4)) (.f64 (.f64 x x) (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 10 (+.f64 1 (pow.f64 x 8))) (+.f64 1 (pow.f64 x 4)) (.f64 (.f64 x x) (/.f64 -10 (+.f64 -1 (pow.f64 x 4)))))))))

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
437×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
360×	`distribute-neg-frac_binary64`
293×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	462
1	122	410
2	365	406
3	1241	403
4	5173	400

Stop Event

1×	node limit

Counts

252 → 227

Calls

Call 1

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

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(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)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (1.1%)

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))))))))

simplify75.0ms (1%)

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))))

localize27.0ms (0.4%)

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
1.0ms	x	@	0	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
1.0ms	x	@	inf	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)
1.0ms	x	@	inf	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
1.0ms	x	@	0	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)
1.0ms	x	@	-inf	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)

rewrite87.0ms (1.2%)

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))))))))

simplify97.0ms (1.3%)

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)))))

eval278.0ms (3.8%)

Compiler: Compiled 7113 to 5355 computations (24.7% saved)

prune128.0ms (1.8%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	487	15	502
Fresh	4	2	6
Picked	1	0	1
Done	1	5	6
Total	493	22	515

Error

Counts

515 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.8b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
	58.0b	10
✓	60.3b	(/.f64 -10 (*.f64 x x))
	1.4b	(/.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)))
▶	0.6b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -10)
	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
▶	60.3b	(/.f64 (/.f64 -10 x) x)
	22.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	41.7b	(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -10)
	1.2b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	1.4b	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -10)
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	0.5b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
▶	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	42.0b	(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)
	7.2b	(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
▶	41.0b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	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)))))
✓	0.3b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
	0.5b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))

Compiler

Compiled 395 to 307 computations (22.3% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	16
2	1827	16

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

simplify75.0ms (1%)

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

70 → 66

Calls

Call 1

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

Outputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(*.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))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify238.0ms (3.3%)

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))

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 1 (*.f64 x x))
✓	0.3b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
✓	0.4b	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
✓	6.9b	(-.f64 1 (pow.f64 x 4))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 1 (pow.f64 x 4))
1.0ms	x	@	inf	(-.f64 1 (pow.f64 x 4))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
1.0ms	x	@	0	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))

rewrite197.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`prod-diff_binary64`
532×	`log-prod_binary64`
297×	`pow2_binary64`
274×	`fma-def_binary64`
202×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	255	29
2	3405	29

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 x 4))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
(+.f64 1 (*.f64 x x))

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

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	486
1	124	416
2	368	412
3	1245	409
4	5192	406

Stop Event

1×	node limit

Counts

315 → 294

Calls

Call 1

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

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

localize32.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (pow.f64 (fma.f64 x x -1) -2))
✓	0.2b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
✓	0.5b	(pow.f64 (fma.f64 x x -1) -2)

Compiler

Compiled 31 to 22 computations (29% 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	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
0.0ms	x	@	-inf	(sqrt.f64 (pow.f64 (fma.f64 x x -1) -2))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	180	27
2	1890	27

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs
(pow.f64 (fma.f64 x x -1) -2)
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) -2))

Outputs

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

525×	`fma-neg_binary64`
455×	`associate-l_binary64`
417×	`associate-/r*_binary64`
394×	`sub-neg_binary64`
356×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	652
1	219	626
2	623	616
3	1964	616
4	7350	616

Stop Event

1×	node limit

Counts

89 → 97

Calls

Call 1

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

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -10)
	0.3b	(/.f64 1 (fma.f64 x x -1))
✓	0.5b	(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3))
✓	0.7b	(pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)

Compiler

Compiled 44 to 33 computations (25% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)
1.0ms	x	@	0	(pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)
0.0ms	x	@	-inf	(pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3))
0.0ms	x	@	-inf	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -10)

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
766×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
749×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	225	24
2	2189	24

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

565×	`fma-neg_binary64`
541×	`associate-l_binary64`
452×	`associate-/r*_binary64`
415×	`associate-r_binary64`
314×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	652
1	219	626
2	628	616
3	2032	616
4	7853	616

Stop Event

1×	node limit

Counts

104 → 111

Calls

Call 1

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

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

eval487.0ms (6.7%)

Compiler: Compiled 12815 to 9580 computations (25.2% saved)

prune193.0ms (2.7%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	634	6	640
Fresh	7	5	12
Picked	1	0	1
Done	1	8	9
Total	643	19	662

Error

Counts

662 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	6.8b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
	58.0b	10
▶	7.2b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
	1.2b	(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -2) 1/3) (/.f64 1 (cbrt.f64 (fma.f64 x x -1)))) -10)
▶	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
✓	60.3b	(/.f64 (/.f64 -10 x) x)
▶	0.6b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
▶	22.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	60.3b	(/.f64 -10 (*.f64 x x))
	1.4b	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -10)
	1.2b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	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)))))
✓	0.3b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
	0.5b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))

Compiler

Compiled 298 to 229 computations (23.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.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
1.0ms	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)

rewrite62.0ms (0.9%)

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))))))))

simplify47.0ms (0.6%)

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))))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.3b	(/.f64 1 (-.f64 1 (*.f64 x x)))
	7.9b	(-.f64 1 (*.f64 x x))

Compiler

Compiled 28 to 16 computations (42.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

801×	`pow1_binary64`
751×	`add-log-exp_binary64`
750×	`log1p-expm1-u_binary64`
750×	`expm1-log1p-u_binary64`
736×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	174	20
2	2140	20

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-def_binary64`
432×	`sub-neg_binary64`
413×	`unswap-sqr_binary64`
378×	`distribute-neg-frac_binary64`
303×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	442
1	158	408
2	481	404
3	1547	401
4	5565	401

Stop Event

1×	node limit

Counts

62 → 68

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
✓	0.4b	(*.f64 -1/10 x)
✓	7.6b	(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	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))

rewrite59.0ms (0.8%)

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

Outputs

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

simplify50.0ms (0.7%)

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

81 → 77

Calls

Call 1

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

Outputs
1/10
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(*.f64 -1/10 (pow.f64 x 2))
(.f64 -1/10 (.f64 x x))
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
(+.f64 1/10 (*.f64 -1/10 (pow.f64 x 2)))
(+.f64 1/10 (.f64 -1/10 (.f64 x x)))
(fma.f64 -1/10 (*.f64 x x) 1/10)
(fma.f64 x (*.f64 -1/10 x) 1/10)
10
(+.f64 (*.f64 10 (pow.f64 x 2)) 10)
(fma.f64 10 (*.f64 x x) 10)
(fma.f64 (*.f64 x x) 10 10)
(*.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
✓	0.2b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
✓	0.5b	(cbrt.f64 (pow.f64 (fma.f64 x x -1) -3))
✓	0.7b	(pow.f64 (fma.f64 x x -1) -3)

Compiler

Compiled 31 to 22 computations (29% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
702×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
687×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	180	27
2	1909	27

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

565×	`fma-neg_binary64`
541×	`associate-l_binary64`
452×	`associate-/r*_binary64`
415×	`associate-r_binary64`
314×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	652
1	219	626
2	628	616
3	2032	616
4	7853	616

Stop Event

1×	node limit

Counts

83 → 90

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
662×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	188	18
2	1829	18

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

519×	`distribute-rgt-in_binary64`
409×	`fma-def_binary64`
338×	`fma-neg_binary64`
323×	`associate-r_binary64`
284×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	964
1	324	675
2	1123	643
3	4861	595

Stop Event

1×	node limit

Counts

81 → 95

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -10) 2))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -10) 2)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -10) 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -10) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 4)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -10) 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -10) 2) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1))) (.f64 1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -10) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -10) 2))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 x 4)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2))))))
(/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 4)) (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 4)) (+.f64 (.f64 5/8 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 8))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))))))))
(/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 4)) (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))))))
(+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 4)) (+.f64 (.f64 5/8 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 8))) (+.f64 (.f64 3/8 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 8))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2)) (+.f64 (.f64 3/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 6))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 -10))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -10)) (.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 -10) (pow.f64 x 2)) (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -10) (pow.f64 x 4))) (sqrt.f64 -1))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -10)) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 -10) (pow.f64 x 2)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (.f64 (sqrt.f64 -10) (pow.f64 x 4))) (sqrt.f64 -1))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -10)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 -10) (pow.f64 x 2)) (sqrt.f64 -1))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (.f64 (sqrt.f64 -10) (pow.f64 x 6))) (sqrt.f64 -1))))))
(/.f64 (sqrt.f64 -10) x)
(+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3))) (/.f64 (sqrt.f64 -10) x))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3))) (+.f64 (/.f64 (sqrt.f64 -10) x) (.f64 3/8 (/.f64 (sqrt.f64 -10) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3))) (+.f64 (.f64 5/16 (/.f64 (sqrt.f64 -10) (pow.f64 x 7))) (+.f64 (/.f64 (sqrt.f64 -10) x) (*.f64 3/8 (/.f64 (sqrt.f64 -10) (pow.f64 x 5))))))
(*.f64 -1 (/.f64 (sqrt.f64 -10) x))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -10) x)) (.f64 -1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 -10) x)) (+.f64 (.f64 -3/8 (/.f64 (sqrt.f64 -10) (pow.f64 x 5))) (*.f64 -1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3)))))
(+.f64 (.f64 -5/16 (/.f64 (sqrt.f64 -10) (pow.f64 x 7))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -10) x)) (+.f64 (.f64 -3/8 (/.f64 (sqrt.f64 -10) (pow.f64 x 5))) (.f64 -1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3))))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -10) 2))
10
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (sqrt.f64 -10) 2)) (.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -10) 2) (pow.f64 x 2))))
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(+.f64 (.f64 -5/16 (/.f64 (sqrt.f64 -10) (pow.f64 x 7))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -10) x)) (+.f64 (.f64 -3/8 (/.f64 (sqrt.f64 -10) (pow.f64 x 5))) (.f64 -1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3))))))
(fma.f64 -5/16 (/.f64 (sqrt.f64 -10) (pow.f64 x 7)) (fma.f64 -1 (/.f64 (sqrt.f64 -10) x) (fma.f64 -3/8 (/.f64 (sqrt.f64 -10) (pow.f64 x 5)) (/.f64 (*.f64 -1/2 (sqrt.f64 -10)) (pow.f64 x 3)))))
(fma.f64 (/.f64 (sqrt.f64 -10) (pow.f64 x 7)) -5/16 (-.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 -10) (pow.f64 x 3)) (*.f64 (/.f64 (sqrt.f64 -10) (pow.f64 x 5)) -3/8)) (/.f64 (sqrt.f64 -10) x)))
(fma.f64 (/.f64 (sqrt.f64 -10) (pow.f64 x 7)) -5/16 (fma.f64 (/.f64 (sqrt.f64 -10) (pow.f64 x 5)) -3/8 (.f64 (/.f64 (sqrt.f64 -10) x) (+.f64 -1 (/.f64 -1/2 (.f64 x x))))))
(+.f64 (.f64 (sqrt.f64 -10) (+.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 -5/16 (pow.f64 x 7)))) (.f64 (sqrt.f64 -10) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5)))))

eval160.0ms (2.2%)

Compiler: Compiled 6579 to 5226 computations (20.6% saved)

prune75.0ms (1%)

Pruning

23 alts after pruning (10 fresh and 13 done)

	Pruned	Kept	Total
New	463	8	471
Fresh	4	2	6
Picked	0	1	1
Done	0	12	12
Total	467	23	490

Error

Counts

490 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
✓	60.3b	(/.f64 (/.f64 -10 x) x)
	1.4b	(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -1/10)
✓	0.6b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
✓	22.9b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	7.9b	(/.f64 10 (-.f64 1 (*.f64 x x)))
✓	7.9b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	23.2b	(pow.f64 (pow.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/4) 2) 2)
	58.0b	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)))))
✓	0.3b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
	7.9b	(.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))) 10)
✓	6.8b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
	8.1b	(/.f64 1 (+.f64 (.f64 (.f64 x x) -1/10) 1/10))
✓	7.2b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
	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)))
✓	60.3b	(/.f64 -10 (*.f64 x x))
	7.9b	(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
	1.2b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	0.5b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))

Compiler

Compiled 251 to 184 computations (26.7% saved)

regimes442.0ms (6.1%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

7 calls:

224.0ms	(-.f64 1 (*.f64 x x))
62.0ms	x
48.0ms	(*.f64 x x)
26.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
24.0ms	(/.f64 10 (-.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 442 to 315 computations (28.7% saved)

regimes211.0ms (2.9%)

Counts

12 → 1

Calls

Call 1

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

Calls

7 calls:

145.0ms	(-.f64 1 (*.f64 x x))
13.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
12.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
12.0ms	x
11.0ms	(*.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 10 (-.f64 1 (*.f64 x x)))`
7.9b	1	`(-.f64 1 (*.f64 x x))`
7.9b	1	`(-.f64 1 (*.f64 x x))`
7.9b	1	`(*.f64 x x)`
7.9b	1	`(*.f64 x x)`

Compiler

Compiled 151 to 90 computations (40.4% saved)

regimes61.0ms (0.8%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
11.0ms	(*.f64 x x)
10.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
10.0ms	x
10.0ms	(-.f64 1 (*.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 10 (-.f64 1 (*.f64 x x)))`
7.9b	1	`(-.f64 1 (*.f64 x x))`
7.9b	1	`(*.f64 x x)`

Compiler

Compiled 76 to 51 computations (32.9% saved)

regimes125.0ms (1.7%)

Counts

7 → 1

Calls

Call 1

Inputs
10
10
10
(/.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:

96.0ms	(-.f64 1 (*.f64 x x))
9.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
8.0ms	x
8.0ms	(*.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 50 to 33 computations (34% saved)

regimes66.0ms (0.9%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	x
23.0ms	(*.f64 x x)
13.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999966904216034	1.0000412444468978

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
10
10
10

Outputs
10

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
58.0b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	80
1	42	74
2	65	74
3	89	74
4	111	74
5	116	74

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 58 to 40 computations (31% saved)

soundness469.0ms (6.5%)

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)

end67.0ms (0.9%)

Compiler: Compiled 53 to 32 computations (39.6% saved)