Details

analyze3.0ms (0.2%)

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
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample787.0ms (47.6%)

Results

769.0ms

8256×

body

128

valid

Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess41.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
409×	`distribute-rgt-in_binary64`
370×	`fma-def_binary64`
360×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	21	10
3	32	10
4	49	10
5	77	8
6	131	8
7	335	8
8	686	8
9	1461	8
10	2785	8
11	4171	8
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify31.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
409×	`distribute-rgt-in_binary64`
370×	`fma-def_binary64`
360×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	21	10
3	32	10
4	49	10
5	77	8
6	131	8
7	335	8
8	686	8
9	1461	8
10	2785	8
11	4171	8

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

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))

rewrite33.0ms (2%)

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

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

simplify34.0ms (2%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
413×	`unswap-sqr_binary64`
246×	`associate-l_binary64`
236×	`associate-/r*_binary64`
220×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	227
1	117	209
2	342	206
3	1127	203
4	4523	203

Stop Event

1×	node limit

Counts

32 → 35

Calls

Call 1

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

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

prune25.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Error

0.1b

Counts

36 → 7

Alt Table

Status	Error	Program
	0.5b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	1.4b	(pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 3)
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	1.4b	(*.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2))
▶	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	25.1b	(expm1.f64 (log1p.f64 (/.f64 -10 (fma.f64 x x -1))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))

Compiler

Compiled 533 to 415 computations (22.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite38.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`pow1_binary64`
591×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

Outputs

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

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

simplify25.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

394×	`fma-neg_binary64`
303×	`cancel-sign-sub-inv_binary64`
278×	`associate-l_binary64`
235×	`associate-/r*_binary64`
187×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	437
1	161	411
2	484	406
3	1539	406

Stop Event

1×	node limit

Counts

62 → 68

Calls

Call 1

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

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

prune42.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	66	9	75

Error

0.0b

Counts

75 → 9

Alt Table

Status	Error	Program
	0.5b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.8b	(.f64 -10 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))))
	23.8b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
	1.4b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
▶	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))

Compiler

Compiled 991 to 779 computations (21.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`pow1_binary64`
649×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
76×	`add-sqr-sqrt_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 → 48

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
268×	`associate-l_binary64`
238×	`associate-/r*_binary64`
229×	`sub-neg_binary64`
209×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	332
1	128	314
2	368	293
3	1216	290
4	4721	290

Stop Event

1×	node limit

Counts

72 → 68

Calls

Call 1

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

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

prune51.0ms (3.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	67	10	77

Error

0.0b

Counts

77 → 10

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.8b	(.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -1) -1/10) -2)))
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.8b	(.f64 -10 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))))
	23.8b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
	25.1b	(/.f64 1 (exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10))))
	1.4b	(/.f64 (/.f64 -10 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
▶	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))

Compiler

Compiled 986 to 776 computations (21.3% saved)

localize6.0ms (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)

series6.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

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

rewrite41.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
699×	`log1p-expm1-u_binary64`
699×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`
77×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 70

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

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

simplify28.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-/r*_binary64`
491×	`fma-neg_binary64`
329×	`cancel-sign-sub-inv_binary64`
256×	`fma-def_binary64`
165×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	506
1	182	479
2	548	469
3	1942	469

Stop Event

1×	node limit

Counts

94 → 100

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

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

prune89.0ms (5.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	5	6
Picked	1	0	1
Done	0	3	3
Total	136	9	145

Error

0.0b

Counts

145 → 9

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.8b	(.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -1) -1/10) -2)))
	0.5b	(cbrt.f64 (/.f64 (*.f64 -10 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2))) (fma.f64 x x -1)))
	25.1b	(/.f64 1 (exp.f64 (log.f64 (*.f64 (fma.f64 x x -1) -1/10))))
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
✓	0.3b	(/.f64 -10 (fma.f64 x x -1))
	0.8b	(.f64 -10 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2))))
	23.8b	(sqrt.f64 (*.f64 100 (pow.f64 (fma.f64 x x -1) -2)))
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))

Compiler

Compiled 1958 to 1565 computations (20.1% saved)

regimes157.0ms (9.5%)

Accuracy

Total 0.2b remaining (87.4%)

Threshold costs 0.2b (87.4%)

Counts

68 → 1

Compiler

Compiled 762 to 599 computations (21.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8

Stop Event

1×

saturated

Calls

Call 1

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

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

end111.0ms (6.7%)

Stop Event

1×

fuel

Compiler

Compiled 125 to 97 computations (22.4% saved)

Details

analyze3.0ms (0.2%)

sample787.0ms (47.6%)

preprocess41.0ms (2.5%)

simplify31.0ms (1.9%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite33.0ms (2%)

simplify34.0ms (2%)

prune25.0ms (1.5%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite38.0ms (2.3%)

simplify25.0ms (1.5%)

prune42.0ms (2.5%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite46.0ms (2.8%)

simplify34.0ms (2.1%)

prune51.0ms (3.1%)

localize6.0ms (0.4%)

series6.0ms (0.4%)

rewrite41.0ms (2.5%)

simplify28.0ms (1.7%)

prune89.0ms (5.4%)

regimes157.0ms (9.5%)

simplify2.0ms (0.1%)

end111.0ms (6.7%)

Profiling