Details

analyze4.0ms (0.1%)

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)

sample819.0ms (10.5%)

Results

807.0ms

8256×

body

256

valid

preprocess151.0ms (1.9%)

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)

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.7b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	0.3b	(/.f64 -10 (fma.f64 x x -1))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.7%)

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))))))))

simplify64.0ms (0.8%)

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))))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite129.0ms (1.7%)

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)))))))))

simplify109.0ms (1.4%)

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)))))

eval69.0ms (0.9%)

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

prune142.0ms (1.8%)

Pruning

16 alts after pruning (14 fresh and 2 done)

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

Error

0.1b

Counts

107 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	21.2b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	7.7b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
	57.8b	10
	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)))))
▶	60.5b	(/.f64 -10 (*.f64 x x))
▶	22.0b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	0.4b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
▶	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
✓	7.7b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
	1.3b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))))
	6.2b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
	22.0b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	20.7b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))

Compiler

Compiled 315 to 235 computations (25.4% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

60 → 66

Calls

Call 1

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

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

localize8.0ms (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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify158.0ms (2%)

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))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (0.7%)

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

60 → 56

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

69 → 73

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series10.0ms (0.1%)

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)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
1.0ms	x	@	inf	(cbrt.f64 (/.f64 -10 (fma.f64 x x -1)))
1.0ms	x	@	-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)))

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.5%)

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)))))

eval120.0ms (1.5%)

Compiler: Compiled 4809 to 3904 computations (18.8% saved)

prune68.0ms (0.9%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	347	16	363
Fresh	4	5	9
Picked	0	1	1
Done	1	5	6
Total	352	27	379

Error

Counts

379 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(pow.f64 (/.f64 (cbrt.f64 -10) (cbrt.f64 (fma.f64 x x -1))) 3)
	20.7b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
▶	42.7b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
	21.2b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	20.7b	(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))
	6.9b	(pow.f64 (fma.f64 x (*.f64 -1/10 x) 1/10) -1)
	7.7b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
	1.4b	(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -10)
✓	7.7b	(/.f64 10 (-.f64 1 (*.f64 x x)))
▶	60.5b	(/.f64 (/.f64 -10 x) x)
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
▶	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
▶	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	6.2b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
✓	60.5b	(/.f64 -10 (*.f64 x x))
✓	22.0b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
	22.0b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	43.7b	(*.f64 (expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1)))) -10)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	57.8b	10
	0.7b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)) -10)
	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)))))
	0.8b	(.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))) -10)
	43.7b	(*.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x x -1)))) -10)

Compiler

Compiled 499 to 383 computations (23.2% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

70 → 66

Calls

Call 1

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

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

localize10.0ms (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
1.0ms	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)

rewrite66.0ms (0.8%)

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))))))))

simplify168.0ms (2.1%)

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))

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 38

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	193	19
2	1940	19

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	524
1	179	490
2	551	475
3	1987	469
4	7868	469

Stop Event

1×	node limit

Counts

89 → 95

Calls

Call 1

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

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

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))
✓	0.2b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
✓	0.6b	(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	@	0	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	inf	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	-inf	(pow.f64 (fma.f64 x x -1) -2)
0.0ms	x	@	inf	(*.f64 (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)

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

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

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

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

simplify67.0ms (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))))

eval208.0ms (2.7%)

Compiler: Compiled 5128 to 4036 computations (21.3% saved)

prune110.0ms (1.4%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	394	9	403
Fresh	10	6	16
Picked	0	1	1
Done	1	9	10
Total	405	25	430

Error

Counts

430 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.7b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	42.7b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
	1.4b	(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -1/10)
	20.7b	(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))
	0.7b	(cbrt.f64 (*.f64 -1000 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
▶	7.7b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	6.9b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
✓	7.7b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	22.0b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	60.5b	(/.f64 (/.f64 -10 x) x)
	0.6b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
	0.6b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
	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)))))
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
✓	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
	43.7b	(/.f64 (expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1)))) -1/10)
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
▶	6.2b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
✓	60.5b	(/.f64 -10 (*.f64 x x))
✓	22.0b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
▶	21.2b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	57.8b	10
▶	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))

Compiler

Compiled 407 to 311 computations (23.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.6%)

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	11
1	155	8
2	1696	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify46.0ms (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

34 → 37

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	0.3b	(/.f64 1 (-.f64 1 (*.f64 x x)))
	7.7b	(-.f64 1 (*.f64 x x))

Compiler

Compiled 28 to 16 computations (42.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (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 1 (-.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)

Outputs

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 68

Calls

Call 1

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

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

localize117.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (*.f64 x x) (pow.f64 x 4))
✓	0.3b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
✓	0.4b	(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
✓	6.2b	(-.f64 1 (pow.f64 x 6))

Compiler

Compiled 68 to 44 computations (35.3% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 1 (pow.f64 x 6))
1.0ms	x	@	inf	(-.f64 1 (pow.f64 x 6))
1.0ms	x	@	inf	(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
1.0ms	x	@	0	(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))

rewrite109.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
544×	`fma-def_binary64`
306×	`fma-neg_binary64`
255×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	333	58
2	4634	58

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify138.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
446×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
356×	`distribute-neg-frac_binary64`
323×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	507
1	125	446
2	376	442
3	1262	439
4	5292	436

Stop Event

1×	node limit

Counts

248 → 229

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(*.f64 -1 (pow.f64 x 6))
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(*.f64 -1 (pow.f64 x 6))
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
(+.f64 (*.f64 -1 (pow.f64 x 6)) 1)
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)))))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (pow.f64 x 4) (pow.f64 x 2))
(pow.f64 x 4)
(+.f64 (pow.f64 x 2) (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (pow.f64 x 4))
(pow.f64 x 4)
(+.f64 (pow.f64 x 2) (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (pow.f64 x 4))

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))
1.0ms	x	@	0	(pow.f64 (fma.f64 x x -1) 2)
0.0ms	x	@	inf	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
0.0ms	x	@	inf	(/.f64 100 (pow.f64 (fma.f64 x x -1) 2))
0.0ms	x	@	inf	(pow.f64 (fma.f64 x x -1) 2)

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	188	27
2	2025	27

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

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

simplify182.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	551
1	186	545
2	462	524
3	1243	524
4	4630	521

Stop Event

1×	node limit

Counts

107 → 108

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 22 computations (29% saved)

series127.0ms (1.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
123.0ms	x	@	0	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
1.0ms	x	@	0	(sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
0.0ms	x	@	inf	(sqrt.f64 (/.f64 -10 (fma.f64 x x -1)))

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 95

Calls

Call 1

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

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

eval713.0ms (9.1%)

Compiler: Compiled 10629 to 8207 computations (22.8% saved)

prune243.0ms (3.1%)

Pruning

28 alts after pruning (15 fresh and 13 done)

	Pruned	Kept	Total
New	616	7	623
Fresh	2	8	10
Picked	0	1	1
Done	2	12	14
Total	620	28	648

Error

Counts

648 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.7b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
✓	42.7b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)) -10)
	1.4b	(/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -1))) 3) -1/10)
	20.7b	(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))
✓	7.7b	(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) 10)
✓	1.3b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
	6.9b	(/.f64 1 (fma.f64 x (*.f64 -1/10 x) 1/10))
	7.7b	(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 10))
✓	7.7b	(/.f64 10 (-.f64 1 (*.f64 x x)))
	22.0b	(exp.f64 (log.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)))
	0.6b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -3)) -10)
	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)))))
	60.5b	-10
	43.7b	(/.f64 (expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -1)))) -1/10)
✓	0.4b	(*.f64 (/.f64 1 (fma.f64 x x -1)) -10)
✓	0.5b	(/.f64 (/.f64 1 (fma.f64 x x -1)) -1/10)
	20.7b	(*.f64 10 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)))
	57.8b	10
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	6.2b	(/.f64 10 (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
✓	22.0b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
✓	21.2b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	8.2b	(/.f64 1 (+.f64 (.f64 (.f64 x x) -1/10) 1/10))
	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)
✓	0.4b	(/.f64 1 (*.f64 (fma.f64 x x -1) -1/10))
	57.8b	(/.f64 10 (*.f64 x x))

Compiler

Compiled 283 to 213 computations (24.7% saved)

regimes654.0ms (8.4%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

7 calls:

163.0ms	x
150.0ms	(-.f64 1 (*.f64 x x))
80.0ms	(*.f64 x x)
79.0ms	(-.f64 1 (*.f64 x x))
61.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 469 to 337 computations (28.1% saved)

regimes147.0ms (1.9%)

Counts

13 → 1

Calls

Call 1

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

Calls

5 calls:

54.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
39.0ms	(-.f64 1 (*.f64 x x))
18.0ms	(*.f64 x x)
15.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
15.0ms	x

Results

Error	Segments	Branch
7.7b	1	`x`
7.7b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.7b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.7b	1	`(-.f64 1 (*.f64 x x))`
7.7b	1	`(*.f64 x x)`

Compiler

Compiled 124 to 73 computations (41.1% saved)

regimes349.0ms (4.5%)

Counts

10 → 1

Calls

Call 1

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

Calls

5 calls:

174.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
131.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
14.0ms	(*.f64 x x)
13.0ms	x
12.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
7.7b	1	`x`
7.7b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.7b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.7b	1	`(-.f64 1 (*.f64 x x))`
7.7b	1	`(*.f64 x x)`

Compiler

Compiled 73 to 48 computations (34.2% saved)

regimes180.0ms (2.3%)

Counts

8 → 1

Calls

Call 1

Inputs
-10
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)))

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

Calls

4 calls:

129.0ms	x
24.0ms	(-.f64 1 (*.f64 x x))
12.0ms	(/.f64 10 (-.f64 1 (*.f64 x x)))
11.0ms	(*.f64 x x)

Results

Error	Segments	Branch
7.7b	1	`x`
7.7b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
7.7b	1	`(-.f64 1 (*.f64 x x))`
7.7b	1	`(*.f64 x x)`

Compiler

Compiled 47 to 30 computations (36.2% saved)

regimes46.0ms (0.6%)

Counts

7 → 2

Calls

Call 1

Inputs
-10
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:

36.0ms	x
9.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999756865075979	1.0000149463868389

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Accuracy

Total -7.6b remaining (-13.8%)

Threshold costs -7.6b (-13.8%)

Counts

4 → 2

Calls

Call 1

Inputs
-10
10
10
10

Outputs
10
-10

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
55.4b	2	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999878431799049	1.0000074731654953

Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	70
1	29	70
2	35	70
3	39	70
4	41	70

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 57 to 43 computations (24.6% saved)

soundness353.0ms (4.5%)

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)

end84.0ms (1.1%)

Compiler: Compiled 51 to 34 computations (33.3% saved)