Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample985.0ms (13.6%)

Results

971.0ms

8256×

body

256

valid

preprocess150.0ms (2.1%)

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)

simplify144.0ms (2%)

Algorithm

1×	egg-herbie

Rules

601×	`unsub-neg_binary64`
586×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
434×	`distribute-neg-in_binary64`
409×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	21	10
3	32	10
4	49	10
5	77	8
6	131	8
7	362	8
8	738	8
9	1536	8
10	2895	8
11	4312	8
12	5270	8
13	5580	8
14	5884	8
15	5985	8
16	6063	8
17	6331	8
18	7277	8

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 -10 (fma.f64 x x -1))
▶	7.8b	(/.f64 10 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

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

32 → 35

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	1922	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

Outputs

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

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	320
1	117	286
2	354	282
3	1199	279
4	4981	276

Stop Event

1×	node limit

Counts

74 → 70

Calls

Call 1

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

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

eval28.0ms (0.4%)

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

prune24.0ms (0.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	95	10	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	12	107

Error

0.0b

Counts

107 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.8b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
	57.5b	10
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	7.8b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	19.5b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	60.8b	(/.f64 -10 (*.f64 x x))
	7.8b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	18.2b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	18.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
▶	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
▶	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)

Compiler

Compiled 205 to 149 computations (27.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	154	16
2	1641	16

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	438
1	156	414
2	468	406
3	1574	406
4	6068	406

Stop Event

1×	node limit

Counts

60 → 66

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1324	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify157.0ms (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))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.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 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	@	inf	(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	67
1	210	31
2	3369	31

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

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

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-neg_binary64`
462×	`distribute-rgt-neg-in_binary64`
456×	`distribute-lft-neg-in_binary64`
421×	`fma-def_binary64`
349×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	308
1	28	254
2	57	254
3	139	254
4	417	254
5	1465	254
6	3085	254
7	4933	254
8	7940	254

Stop Event

1×	node limit

Counts

191 → 120

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 -10 (fma.f64 x x -1)))
	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	1.2b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))

Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

413×	`unswap-sqr_binary64`
359×	`distribute-neg-frac_binary64`
348×	`associate-l_binary64`
338×	`associate-/r*_binary64`
303×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	489
1	209	459
2	604	453
3	1905	453
4	5934	453

Stop Event

1×	node limit

Counts

80 → 94

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	0.5b	(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)

Compiler

Compiled 31 to 22 computations (29% saved)

series12.0ms (0.2%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
3.0ms	x	@	0	(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.0ms	x	@	inf	(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 75

Calls

Call 1

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

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

eval252.0ms (3.5%)

Compiler: Compiled 7102 to 5278 computations (25.7% saved)

prune69.0ms (1%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	438	10	448
Fresh	3	2	5
Picked	0	1	1
Done	0	6	6
Total	441	19	460

Error

0.0b

Counts

460 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
✓	7.8b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	1.7b	(pow.f64 (/.f64 (cbrt.f64 -10) (cbrt.f64 (fma.f64 x x -1))) 3)
✓	60.8b	(/.f64 -10 (*.f64 x x))
	0.6b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -10)
	7.8b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
▶	45.2b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
	18.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
▶	60.8b	(/.f64 (/.f64 -10 x) x)
✓	7.8b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
	57.5b	10
	19.2b	(.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) (.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	19.5b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
▶	45.9b	(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -10)
	18.2b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)

Compiler

Compiled 324 to 250 computations (22.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (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

66 → 62

Calls

Call 1

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

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

localize5.0ms (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)

rewrite44.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify157.0ms (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

47 → 37

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

70 → 66

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (fma.f64 x x -1) -2)
1.0ms	x	@	0	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	-inf	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	inf	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)

rewrite57.0ms (0.8%)

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))))))))

simplify64.0ms (0.9%)

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))))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fma.f64 x x -1) -1/2)
✓	0.1b	(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2) -10)
✓	0.1b	(pow.f64 (pow.f64 (fma.f64 x x -1) -1/2) 2)

Compiler

Compiled 34 to 25 computations (26.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
755×	`add-log-exp_binary64`
755×	`log1p-expm1-u_binary64`
755×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	207	27
2	2108	27

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

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

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-neg_binary64`
515×	`associate-/r*_binary64`
460×	`fma-def_binary64`
392×	`distribute-lft-out_binary64`
383×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	715
1	287	649
2	890	634
3	3514	627

Stop Event

1×	node limit

Counts

83 → 98

Calls

Call 1

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

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

eval118.0ms (1.6%)

Compiler: Compiled 4644 to 3676 computations (20.8% saved)

prune61.0ms (0.8%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	356	4	360
Fresh	2	5	7
Picked	1	0	1
Done	1	10	11
Total	360	19	379

Error

0.0b

Counts

379 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
▶	1.3b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3) -10)
✓	7.8b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	1.7b	(pow.f64 (/.f64 (cbrt.f64 -10) (cbrt.f64 (fma.f64 x x -1))) 3)
✓	60.8b	(/.f64 -10 (*.f64 x x))
▶	7.8b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	18.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	8.3b	(/.f64 1 (+.f64 (.f64 (.f64 x x) -1/10) 1/10))
✓	60.8b	(/.f64 (/.f64 -10 x) x)
✓	7.8b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))
	57.5b	10
▶	19.2b	(.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) (.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)))
▶	0.6b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
▶	18.2b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	19.5b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

Compiler

Compiled 298 to 230 computations (22.8% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
✓	0.4b	(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)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite61.0ms (0.8%)

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)))))))

simplify81.0ms (1.1%)

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))))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (-.f64 1 (*.f64 x x)))
✓	0.3b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	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
1.0ms	x	@	0	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
0.0ms	x	@	inf	(/.f64 1 (-.f64 1 (*.f64 x x)))
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 (/.f64 1 (-.f64 1 (.f64 x x))) 10)

rewrite54.0ms (0.7%)

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

Outputs

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

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-def_binary64`
432×	`sub-neg_binary64`
413×	`unswap-sqr_binary64`
380×	`distribute-neg-frac_binary64`
305×	`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	5588	401

Stop Event

1×	node limit

Counts

62 → 68

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
✓	0.3b	(*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)
	0.5b	(pow.f64 (fma.f64 x x -1) -2)

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)
0.0ms	x	@	inf	(*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)
0.0ms	x	@	inf	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
0.0ms	x	@	-inf	(*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	183	22
2	1923	22

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-def_binary64`
720×	`associate-/l*_binary64`
559×	`distribute-rgt-out_binary64`
446×	`unswap-sqr_binary64`
419×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	428
1	171	422
2	431	413
3	1168	413
4	4459	410

Stop Event

1×	node limit

Counts

60 → 65

Calls

Call 1

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

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 32 computations (25.6% saved)

series7.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

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

rewrite101.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

765×	`associate-/l*_binary64`
407×	`distribute-rgt-in_binary64`
385×	`fma-neg_binary64`
375×	`fma-def_binary64`
354×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	521
1	278	454
2	890	410
3	3311	353

Stop Event

1×	node limit

Counts

86 → 95

Calls

Call 1

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

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

localize88.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	0.4b	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)
	0.5b	(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)

Compiler

Compiled 85 to 64 computations (24.7% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
1.0ms	x	@	inf	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
1.0ms	x	@	-inf	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)

rewrite189.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
849×	`add-log-exp_binary64`
849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
832×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	231	24
2	2462	24

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/12) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -10 1/6) (pow.f64 (/.f64 1 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) 1/6) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 1/6) (pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 -10)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (/.f64 -10 (fma.f64 x x -1)))))))))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

572×	`associate-*l/_binary64`
412×	`associate-*r/_binary64`
362×	`fma-def_binary64`
301×	`associate-+l+_binary64`
287×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	821
1	270	757
2	775	644
3	3127	516
4	7392	516

Stop Event

1×	node limit

Counts

54 → 64

Calls

Call 1

Inputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2)))
(+.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 4)) (+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2))))
(+.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 4)) (+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (+.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2)) (.f64 (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1))) (*.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 6)))))
(pow.f64 10 1/6)
(+.f64 (pow.f64 10 1/6) (.f64 1/6 (.f64 (pow.f64 10 1/6) (pow.f64 x 2))))
(+.f64 (pow.f64 10 1/6) (+.f64 (.f64 7/72 (.f64 (pow.f64 10 1/6) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 10 1/6) (pow.f64 x 2)))))
(+.f64 (pow.f64 10 1/6) (+.f64 (.f64 91/1296 (.f64 (pow.f64 10 1/6) (pow.f64 x 6))) (+.f64 (.f64 7/72 (.f64 (pow.f64 10 1/6) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 10 1/6) (pow.f64 x 2))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (.f64 91/1296 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 2))) (+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 4))) (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 2))) (+.f64 (.f64 91/1296 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 6))) (+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 4))) (exp.f64 (.f64 1/6 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))))))

Outputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2)))
(fma.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (/.f64 (cbrt.f64 -1) (.f64 x x))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2)))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (/.f64 (cbrt.f64 -1) (.f64 x x)))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 -2/3 (*.f64 x x))))
(+.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 4)) (+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2))))
(fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 4) (fma.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (/.f64 (cbrt.f64 -1) (.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2))))
(fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 -1 (cbrt.f64 -1))))) (pow.f64 x 4) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (/.f64 (cbrt.f64 -1) (.f64 x x))))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9)) (pow.f64 x 4) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 -2/3 (.f64 x x)))))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (fma.f64 -2/3 (.f64 (.f64 x x) (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 4)) (+.f64 (.f64 -2/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 x 2)) (cbrt.f64 -1))) (+.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2)) (.f64 (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) 5/9) (pow.f64 (cbrt.f64 -10) 2)) (cbrt.f64 -1))) (*.f64 4/27 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 6)))))
(fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 x 4) (fma.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (/.f64 (cbrt.f64 -1) (.f64 x x))) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (.f64 (fma.f64 2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 6)) -5/9) (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -10) 2))) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (pow.f64 (cbrt.f64 -1) 4)) 4/27)) (pow.f64 x 6)))))
(fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (.f64 -1 (cbrt.f64 -1))))) (pow.f64 x 4) (fma.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (/.f64 (cbrt.f64 -1) (.f64 x x))) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (*.f64 -1 (cbrt.f64 -1))) 4/27 (/.f64 -28/81 (/.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -10) 2)))) (pow.f64 x 6)))))
(fma.f64 (fma.f64 -4/9 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -1/9)) (pow.f64 x 4) (fma.f64 (+.f64 (.f64 (/.f64 -28/81 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -10) 2)) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -4/27)) (pow.f64 x 6) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 -2/3 (.f64 x x))))))
(fma.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) -5/9) (pow.f64 x 4) (fma.f64 (.f64 (pow.f64 (cbrt.f64 -10) 2) (+.f64 (/.f64 -28/81 (cbrt.f64 -1)) (/.f64 4/27 (neg.f64 (cbrt.f64 -1))))) (pow.f64 x 6) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 -10) 2) (.f64 (/.f64 (pow.f64 (cbrt.f64 -10) 2) (cbrt.f64 -1)) (.f64 -2/3 (*.f64 x x))))))
(pow.f64 10 1/6)
(+.f64 (pow.f64 10 1/6) (.f64 1/6 (.f64 (pow.f64 10 1/6) (pow.f64 x 2))))
(+.f64 (pow.f64 10 1/6) (.f64 1/6 (.f64 (*.f64 x x) (pow.f64 10 1/6))))
(fma.f64 1/6 (.f64 (.f64 x x) (pow.f64 10 1/6)) (pow.f64 10 1/6))
(.f64 (+.f64 (.f64 (*.f64 x x) 1/6) 1) (pow.f64 10 1/6))
(.f64 (+.f64 1 (.f64 x (*.f64 x 1/6))) (pow.f64 10 1/6))
(+.f64 (pow.f64 10 1/6) (+.f64 (.f64 7/72 (.f64 (pow.f64 10 1/6) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 10 1/6) (pow.f64 x 2)))))
(+.f64 (pow.f64 10 1/6) (fma.f64 7/72 (.f64 (pow.f64 x 4) (pow.f64 10 1/6)) (.f64 1/6 (.f64 (.f64 x x) (pow.f64 10 1/6)))))
(+.f64 (pow.f64 10 1/6) (fma.f64 1/6 (.f64 (.f64 x x) (pow.f64 10 1/6)) (.f64 (pow.f64 x 4) (.f64 (pow.f64 10 1/6) 7/72))))
(+.f64 (pow.f64 10 1/6) (.f64 (pow.f64 10 1/6) (+.f64 (.f64 (.f64 x x) 1/6) (.f64 (pow.f64 x 4) 7/72))))
(.f64 (pow.f64 10 1/6) (+.f64 (.f64 x (.f64 x 1/6)) (+.f64 1 (.f64 (pow.f64 x 4) 7/72))))
(+.f64 (pow.f64 10 1/6) (+.f64 (.f64 91/1296 (.f64 (pow.f64 10 1/6) (pow.f64 x 6))) (+.f64 (.f64 7/72 (.f64 (pow.f64 10 1/6) (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 10 1/6) (pow.f64 x 2))))))
(+.f64 (pow.f64 10 1/6) (fma.f64 91/1296 (.f64 (pow.f64 x 6) (pow.f64 10 1/6)) (fma.f64 7/72 (.f64 (pow.f64 x 4) (pow.f64 10 1/6)) (.f64 1/6 (.f64 (*.f64 x x) (pow.f64 10 1/6))))))
(+.f64 (pow.f64 10 1/6) (fma.f64 91/1296 (.f64 (pow.f64 x 6) (pow.f64 10 1/6)) (fma.f64 1/6 (.f64 (.f64 x x) (pow.f64 10 1/6)) (.f64 (pow.f64 x 4) (*.f64 (pow.f64 10 1/6) 7/72)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 x x) 1/6) 1) (pow.f64 10 1/6)) (.f64 (pow.f64 10 1/6) (+.f64 (.f64 (pow.f64 x 4) 7/72) (.f64 (pow.f64 x 6) 91/1296))))
(+.f64 (pow.f64 10 1/6) (.f64 (pow.f64 10 1/6) (+.f64 (.f64 x (+.f64 (.f64 x 1/6) (.f64 (pow.f64 x 3) 7/72))) (*.f64 (pow.f64 x 6) 91/1296))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (*.f64 2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))
(.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))))
(pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6)
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (.f64 1/6 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x)))))) (.f64 x x)))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))))
(fma.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))) (/.f64 1/6 (/.f64 (/.f64 (.f64 x x) (pow.f64 -10 1/6)) (exp.f64 (*.f64 -1/3 (log.f64 x))))))
(.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6))
(+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (.f64 1/6 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x)))))) (*.f64 x x))))
(fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))))
(fma.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))) (.f64 (.f64 (/.f64 (pow.f64 -10 1/6) x) (/.f64 (exp.f64 (.f64 -1/3 (log.f64 x))) x)) (+.f64 1/6 (/.f64 7/72 (*.f64 x x)))))
(+.f64 (pow.f64 (.f64 (pow.f64 x -2) -10) 1/6) (.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6) x) (+.f64 (/.f64 1/6 x) (/.f64 7/72 (pow.f64 x 3)))))
(+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (.f64 91/1296 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -10) (*.f64 2 (log.f64 (/.f64 1 x)))))) (pow.f64 x 6))))))
(fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (.f64 x x)) (.f64 91/1296 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (.f64 x x)) (.f64 91/1296 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (pow.f64 x 6)))) (fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (pow.f64 x 4)) (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))))
(+.f64 (fma.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))) (.f64 (.f64 (/.f64 (pow.f64 -10 1/6) x) (/.f64 (exp.f64 (.f64 -1/3 (log.f64 x))) x)) (+.f64 1/6 (/.f64 7/72 (.f64 x x))))) (.f64 91/1296 (/.f64 (.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x)))) (pow.f64 x 6))))
(+.f64 (.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (pow.f64 (.f64 (pow.f64 x -2) -10) 1/6)) (.f64 (pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6) (+.f64 (/.f64 7/72 (pow.f64 x 4)) (/.f64 91/1296 (pow.f64 x 6)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (*.f64 2 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))
(.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))))
(pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6)
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))))
(+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (.f64 1/6 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x)))))) (.f64 x x)))
(fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))))
(fma.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))) (/.f64 1/6 (/.f64 (/.f64 (.f64 x x) (pow.f64 -10 1/6)) (exp.f64 (*.f64 -1/3 (log.f64 x))))))
(.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 2))) (+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 4))) (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10))))))
(fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (/.f64 (.f64 1/6 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x)))))) (*.f64 x x))))
(fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (pow.f64 x 4)) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (*.f64 x x)) (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))))
(fma.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))) (.f64 (.f64 (/.f64 (pow.f64 -10 1/6) x) (/.f64 (exp.f64 (.f64 -1/3 (log.f64 x))) x)) (+.f64 1/6 (/.f64 7/72 (*.f64 x x)))))
(+.f64 (pow.f64 (.f64 (pow.f64 x -2) -10) 1/6) (.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6) x) (+.f64 (/.f64 1/6 x) (/.f64 7/72 (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 2))) (+.f64 (.f64 91/1296 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 6))) (+.f64 (.f64 7/72 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))) (pow.f64 x 4))) (exp.f64 (.f64 1/6 (+.f64 (*.f64 2 (log.f64 (/.f64 -1 x))) (log.f64 -10)))))))
(fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (pow.f64 x 4)) (+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (.f64 x x)) (.f64 91/1296 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -10) (.f64 2 (neg.f64 (log.f64 x))))) (pow.f64 x 6))))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (.f64 x x)) (.f64 91/1296 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (pow.f64 x 6)))) (fma.f64 7/72 (/.f64 (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10))) (pow.f64 x 4)) (pow.f64 (exp.f64 1/6) (fma.f64 2 (neg.f64 (log.f64 x)) (log.f64 -10)))))
(+.f64 (fma.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x))) (.f64 (.f64 (/.f64 (pow.f64 -10 1/6) x) (/.f64 (exp.f64 (.f64 -1/3 (log.f64 x))) x)) (+.f64 1/6 (/.f64 7/72 (.f64 x x))))) (.f64 91/1296 (/.f64 (.f64 (pow.f64 -10 1/6) (exp.f64 (.f64 -1/3 (log.f64 x)))) (pow.f64 x 6))))
(+.f64 (.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (pow.f64 (.f64 (pow.f64 x -2) -10) 1/6)) (.f64 (pow.f64 (*.f64 (pow.f64 x -2) -10) 1/6) (+.f64 (/.f64 7/72 (pow.f64 x 4)) (/.f64 91/1296 (pow.f64 x 6)))))

eval1.3s (17.8%)

Compiler: Compiled 14581 to 11739 computations (19.5% saved)

prune127.0ms (1.8%)

Pruning

22 alts after pruning (10 fresh and 12 done)

	Pruned	Kept	Total
New	652	8	660
Fresh	2	2	4
Picked	1	0	1
Done	2	12	14
Total	657	22	679

Error

0.0b

Counts

679 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	60.8b	-10
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
✓	1.3b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3) -10)
✓	7.8b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	18.6b	(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100)) 3))
✓	19.5b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	57.5b	10
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	57.5b	(/.f64 10 (*.f64 x x))
✓	7.8b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	7.8b	(.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)
✓	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	8.3b	(/.f64 1 (+.f64 (.f64 (.f64 x x) -1/10) 1/10))
	18.3b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -4))) 100))
✓	0.6b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
✓	18.2b	(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) 100))
	7.8b	(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
	1.7b	(pow.f64 (/.f64 (cbrt.f64 -10) (cbrt.f64 (fma.f64 x x -1))) 3)
	18.6b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	7.8b	(/.f64 10 (/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x)))))

Compiler

Compiled 230 to 172 computations (25.2% saved)

regimes382.0ms (5.3%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

7 calls:

219.0ms	(*.f64 x x)
40.0ms	x
20.0ms	(*.f64 x x)
18.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
17.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
0.2b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
0.2b	1	`(-.f64 1 (*.f64 x x))`
0.2b	1	`(-.f64 1 (*.f64 x x))`
0.2b	1	`(*.f64 x x)`
0.2b	1	`(*.f64 x x)`

Compiler

Compiled 359 to 254 computations (29.2% saved)

regimes234.0ms (3.2%)

Counts

12 → 1

Calls

Call 1

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

140.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
51.0ms	x
10.0ms	(-.f64 1 (*.f64 x x))
8.0ms	(*.f64 x x)
7.0ms	(*.f64 x x)

Results

Error	Segments	Branch
7.8b	1	`x`
7.8b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.8b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.8b	1	`(-.f64 1 (*.f64 x x))`
7.8b	1	`(-.f64 1 (*.f64 x x))`
7.8b	1	`(*.f64 x x)`
7.8b	1	`(*.f64 x x)`

Compiler

Compiled 133 to 78 computations (41.4% saved)

regimes35.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
7.8b	1	`x`
7.8b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.8b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.8b	1	`(-.f64 1 (*.f64 x x))`
7.8b	1	`(*.f64 x x)`

Compiler

Compiled 81 to 53 computations (34.6% saved)

regimes27.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
7.8b	1	`x`
7.8b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.8b	1	`(-.f64 1 (*.f64 x x))`
7.8b	1	`(*.f64 x x)`

Compiler

Compiled 64 to 41 computations (35.9% saved)

regimes40.0ms (0.6%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	(*.f64 x x)
9.0ms	x

Results

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

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999981627024453	1.0000000157057038

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -7.6b remaining (-13.8%)

Threshold costs -7.6b (-13.8%)

Counts

3 → 2

Calls

Call 1

Inputs
-10
10
10

Outputs
10
-10

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
55.4b	2	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999990813508007	1.000000007852852

Compiler

Compiled 12 to 9 computations (25% saved)

simplify143.0ms (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	26	88
1	44	82
2	67	82
3	91	82
4	113	82
5	118	82

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

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

Compiler

Compiled 65 to 45 computations (30.8% saved)

soundness363.0ms (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)

end47.0ms (0.6%)

Compiler: Compiled 59 to 36 computations (39% saved)