Details

analyze2.0ms (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
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample808.0ms (50.7%)

Results

797.0ms

8256×

body

128

valid

preprocess41.0ms (2.6%)

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)

simplify32.0ms (2%)

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))

eval1.0ms (0%)

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

prune1.0ms (0.1%)

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

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.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))

rewrite34.0ms (2.1%)

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))))))))

simplify32.0ms (2%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary64`
251×	`associate-/r*_binary64`
247×	`associate-l_binary64`
238×	`sub-neg_binary64`
205×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	226
1	112	210
2	338	206
3	1154	203
4	4782	203

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

eval12.0ms (0.7%)

Compiler: Compiled 396 to 308 computations (22.2% saved)

prune17.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Error

0.1b

Counts

36 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
▶	0.4b	(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	21.9b	(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
	0.5b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	22.4b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)

Compiler

Compiled 103 to 81 computations (21.4% 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)))

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite37.0ms (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))))))))

simplify26.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

531×	`fma-neg_binary64`
323×	`associate-l_binary64`
308×	`cancel-sign-sub-inv_binary64`
253×	`associate-/r*_binary64`
224×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 68

Calls

Call 1

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

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

eval22.0ms (1.4%)

Compiler: Compiled 816 to 640 computations (21.6% saved)

prune38.0ms (2.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	64	10	74

Error

0.0b

Counts

74 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	42.2b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	0.5b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
	22.4b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
	41.5b	(*.f64 -10 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)))
▶	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
	1.4b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
	0.9b	(.f64 -10 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x -1)))))

Compiler

Compiled 215 to 169 computations (21.4% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite41.0ms (2.6%)

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

679×	`fma-def_binary64`
253×	`associate-/r*_binary64`
249×	`associate-l_binary64`
205×	`times-frac_binary64`
205×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	331
1	118	297
2	350	293
3	1182	290
4	4819	290

Stop Event

1×	node limit

Counts

72 → 68

Calls

Call 1

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

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

eval23.0ms (1.4%)

Compiler: Compiled 771 to 610 computations (20.9% saved)

prune49.0ms (3.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	66	12	78

Error

0.0b

Counts

78 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
	42.2b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (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)))
	1.4b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	22.0b	(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))
▶	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	42.2b	(/.f64 1 (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 (sqrt.f64 (fma.f64 x x -1)) -1/10)))
	22.4b	(.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))
	1.3b	(.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))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
	22.4b	(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)

Compiler

Compiled 304 to 240 computations (21.1% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(/.f64 -10 (fma.f64 x x -1))
✓	0.6b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
✓	0.8b	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)

series4.0ms (0.3%)

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)
0.0ms	x	@	-inf	(pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3)

rewrite44.0ms (2.7%)

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))))))))

simplify32.0ms (2%)

Algorithm

1×	egg-herbie

Rules

723×	`associate-/r*_binary64`
704×	`fma-neg_binary64`
378×	`cancel-sign-sub-inv_binary64`
249×	`fma-def_binary64`
167×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	524
1	179	490
2	551	475
3	1976	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 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))
(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 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 (cbrt.f64 -1000) (neg.f64 (fma.f64 x x 1)))
(+.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) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.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 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.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) (pow.f64 x 4)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8))) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (/.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 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))
(+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 4)) (+.f64 (/.f64 (cbrt.f64 -1000) (*.f64 x x)) (+.f64 (/.f64 (cbrt.f64 -1000) (pow.f64 x 6)) (/.f64 (cbrt.f64 -1000) (pow.f64 x 8)))))

eval53.0ms (3.3%)

Compiler: Compiled 1862 to 1494 computations (19.8% saved)

prune99.0ms (6.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	131	4	135
Fresh	6	3	9
Picked	0	1	1
Done	0	2	2
Total	137	10	147

Error

0.0b

Counts

147 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	42.2b	(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
	1.4b	(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
	22.0b	(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))
✓	0.5b	(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
	0.5b	(cbrt.f64 (/.f64 1 (/.f64 (pow.f64 (fma.f64 x x -1) 3) -1000)))
	0.6b	(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
✓	0.2b	(/.f64 -10 (fma.f64 x x -1))
	0.6b	(cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)) 3)))
	0.5b	(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)

Compiler

Compiled 108 to 86 computations (20.4% saved)

regimes67.0ms (4.2%)

Accuracy

Total -63.8b remaining (-27206.7%)

Threshold costs -63.8b (-27206.7%)

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (/.f64 1 (/.f64 (pow.f64 (fma.f64 x x -1) 3) -1000)))
(cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1000 (pow.f64 (fma.f64 x x -1) 3)) 3)))
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
(.f64 (cbrt.f64 (/.f64 -10 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -1) -1/10) -2)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -2))
(/.f64 1 (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 (sqrt.f64 (fma.f64 x x -1)) -1/10)))
(.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))
(.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))
(*.f64 -10 (cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -1)) 3)))
(/.f64 (/.f64 -10 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
(*.f64 -10 (sqrt.f64 (pow.f64 (fma.f64 x x -1) -2)))
(/.f64 1 (/.f64 (fma.f64 x x -1) -10))
(*.f64 -10 (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x -1))) 3))
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
(.f64 -10 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x -1)))))
(*.f64 -10 (/.f64 1 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (/.f64 -10 (fma.f64 x x -1)) 3))
(sqrt.f64 (/.f64 100 (pow.f64 (fma.f64 x x -1) 2)))
(pow.f64 (*.f64 (fma.f64 x x -1) -1/10) -1)
(pow.f64 (sqrt.f64 (/.f64 -10 (fma.f64 x x -1))) 2)
(/.f64 -10 (fma.f64 x x -1))
(/.f64 10 (-.f64 1 (*.f64 x x)))

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

Results

Time	Error	Segments	Branch
13.0ms	0.2b	1	`x`
13.0ms	0.2b	1	`(/.f64 10 (-.f64 1 (*.f64 x x)))`
17.0ms	0.2b	1	`(-.f64 1 (*.f64 x x))`
14.0ms	0.2b	1	`(*.f64 x x)`

Compiler

Compiled 289 to 220 computations (23.9% 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))

end16.0ms (1%)

Stop Event

1×

fuel

Compiler

Compiled 14 to 10 computations (28.6% saved)

Details

analyze2.0ms (0.1%)

sample808.0ms (50.7%)

preprocess41.0ms (2.6%)

simplify32.0ms (2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite34.0ms (2.1%)

simplify32.0ms (2%)

eval12.0ms (0.7%)

prune17.0ms (1.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite37.0ms (2.3%)

simplify26.0ms (1.6%)

eval22.0ms (1.4%)

prune38.0ms (2.4%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite41.0ms (2.6%)

simplify34.0ms (2.1%)

eval23.0ms (1.4%)

prune49.0ms (3.1%)

localize7.0ms (0.5%)

series4.0ms (0.3%)

rewrite44.0ms (2.7%)

simplify32.0ms (2%)

eval53.0ms (3.3%)

prune99.0ms (6.2%)

regimes67.0ms (4.2%)

simplify2.0ms (0.1%)

end16.0ms (1%)

Profiling