Details

analyze30.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample847.0ms (29%)

Results

835.0ms

8256×

body

256

valid

Bogosity

preprocess257.0ms (8.8%)

Algorithm

2×	egg-herbie

Rules

3512×	`sqr-pow`
1426×	`pow-sqr`
1160×	`cube-prod`
742×	`fabs-mul`
736×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	17	15
2	34	15
3	47	15
4	66	15
5	124	15
6	222	15
7	644	15
8	1046	15
9	1134	15
10	1271	15
11	1433	15
12	1671	15
13	1984	15
14	2379	15
15	2852	15
16	3391	15
17	4031	15
18	4252	15
19	4448	15
20	4588	15
21	4674	15
22	4732	15
23	5622	15
24	6672	15
25	6974	15
26	7268	15
27	7400	15
28	7410	15
29	7410	15
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))

Compiler

Compiled 11 to 5 computations (54.5% saved)

simplify262.0ms (9%)

Algorithm

1×	egg-herbie

Rules

3512×	`sqr-pow`
1426×	`pow-sqr`
1160×	`cube-prod`
742×	`fabs-mul`
736×	`cube-mult`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	17	15
2	34	15
3	47	15
4	66	15
5	124	15
6	222	15
7	644	15
8	1046	15
9	1134	15
10	1271	15
11	1433	15
12	1671	15
13	1984	15
14	2379	15
15	2852	15
16	3391	15
17	4031	15
18	4252	15
19	4448	15
20	4588	15
21	4674	15
22	4732	15
23	5622	15
24	6672	15
25	6974	15
26	7268	15
27	7400	15
28	7410	15
29	7410	15

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))

eval1.0ms (0%)

Compiler: Compiled 29 to 12 computations (58.6% saved)

prune1.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Error

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x x (pow.f64 x 3))
▶	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	0.0b	(*.f64 x (fma.f64 x x x))

Compiler

Compiled 24 to 11 computations (54.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x x x))

Compiler

Compiled 12 to 3 computations (75% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`add-sqr-sqrt`
1124×	`*-un-lft-identity`
1060×	`pow1`
1036×	`add-cube-cbrt`
1020×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	118	15
2	1405	15

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(*.f64 x (fma.f64 x x x))

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

Outputs

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

simplify49.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1132×	`log-prod`
1116×	`distribute-lft-out`
904×	`*-commutative`
896×	`fma-def`
662×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	420
1	91	336
2	303	336
3	1932	336
4	4527	336

Stop Event

1×	node limit

Counts

24 → 17

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x x x))) 2)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(*.f64 x (fma.f64 x x x))

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.1b	(.f64 x (.f64 x x))

Compiler

Compiled 19 to 4 computations (78.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`add-sqr-sqrt`
1388×	`*-un-lft-identity`
1306×	`add-cube-cbrt`
1294×	`add-cbrt-cube`
1286×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	26
1	137	22
2	1865	22

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(.f64 x (.f64 x x))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) 1) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 6) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (pow.f64 x 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 6) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 x 3))))))

simplify59.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-+r+`
1264×	`associate-+l+`
1076×	`associate-*r/`
884×	`associate-*l/`
700×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	1446
1	303	1416
2	1079	1416
3	4284	1416

Stop Event

1×	node limit

Counts

80 → 67

Calls

Call 1

Inputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 (pow.f64 x 9) 1/3)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(-.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (.f64 x x))))
(*.f64 x (fma.f64 x x x))
(.f64 (.f64 x x) (+.f64 x 1))
(.f64 (.f64 x (fma.f64 x x x)) 1)
(.f64 1 (.f64 x (fma.f64 x x x)))
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x x x)))
(*.f64 (fma.f64 x x x) x)
(.f64 (+.f64 x 1) (.f64 x x))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(.f64 (.f64 (+.f64 x 1) 1) (*.f64 x x))
(.f64 (.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 6) (pow.f64 x 9))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 1 (*.f64 x x) (pow.f64 x 3))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 x 3))

Outputs
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 9) 1/3)
(cbrt.f64 (pow.f64 x 9))
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 x 9))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x x x))) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (/.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 3) (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x x) x)))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))
(.f64 (.f64 x x) (+.f64 x 1))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (.f64 x (fma.f64 x x x)) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 1 (.f64 x (fma.f64 x x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(*.f64 (hypot.f64 x (pow.f64 x 3/2)) (hypot.f64 x (pow.f64 x 3/2)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 x x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x x x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 x x x) (cbrt.f64 x)))
(.f64 (fma.f64 x x x) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (+.f64 x 1) (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 x 3) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x x) x)))
(*.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (/.f64 1 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(.f64 (.f64 (+.f64 x 1) 1) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 x 4))))
(.f64 (+.f64 x 1) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 x x)) (-.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x x) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))) (+.f64 (pow.f64 x 6) (pow.f64 x 9))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (.f64 x (-.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) 1) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (+.f64 (pow.f64 x 9) (pow.f64 x 6)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(pow.f64 (*.f64 x (fma.f64 x x x)) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (hypot.f64 x (pow.f64 x 3/2)) 2)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3) 1/3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x x x)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x x x))) 1))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 1 (*.f64 x x) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 1 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 x 3))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) (pow.f64 x 3))

localize5.0ms (0.2%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

eval15.0ms (0.5%)

Compiler: Compiled 873 to 412 computations (52.8% saved)

prune34.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Error

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 x x (pow.f64 x 3))
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
▶	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(*.f64 x (fma.f64 x x x))
▶	1.1b	(*.f64 x x)

Compiler

Compiled 36 to 18 computations (50% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite82.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1376×	`*-un-lft-identity`
1284×	`add-cube-cbrt`
1268×	`add-cbrt-cube`
1260×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	145	19
2	1864	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(.f64 (+.f64 x 1) (.f64 x x))

Outputs

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

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1154×	`fma-def`
1016×	`associate-/r/`
720×	`associate-*r/`
662×	`associate-r`
640×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	498
1	147	498
2	488	486
3	2253	478
4	5235	478

Stop Event

1×	node limit

Counts

30 → 32

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(-.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1)
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 x x)) (fma.f64 x x (-.f64 1 x)))
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 3))) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (pow.f64 x 3) 1)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x (-.f64 1 x))) (+.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 x (-.f64 (fma.f64 x x 1) x)) (+.f64 x (pow.f64 x 4)))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 x x)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 (pow.f64 x 3) 1)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x (-.f64 1 x))) (+.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 x (-.f64 (fma.f64 x x 1) x)) (+.f64 x (pow.f64 x 4)))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 x)))
(.f64 (.f64 x x) (exp.f64 (log1p.f64 x)))
(.f64 x (.f64 x (exp.f64 (log1p.f64 x))))
(exp.f64 (.f64 (+.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (fma.f64 2 (log.f64 x) (log1p.f64 x)))
(.f64 (.f64 x x) (exp.f64 (log1p.f64 x)))
(.f64 x (.f64 x (exp.f64 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))

eval6.0ms (0.2%)

Compiler: Compiled 306 to 170 computations (44.4% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	31	6	37

Error

Counts

37 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 x x (pow.f64 x 3))
▶	0.0b	(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(*.f64 x (fma.f64 x x x))
✓	1.1b	(*.f64 x x)

Compiler

Compiled 49 to 26 computations (46.9% saved)

localize12.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
✓	0.0b	(.f64 (fma.f64 x x -1) (.f64 x x))

Compiler

Compiled 33 to 16 computations (51.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite69.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`associate-/r*`
1640×	`associate-/l*`
1454×	`associate-*r/`
1100×	`associate-*l/`
1094×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	54
1	217	40
2	3010	40

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-/l*`
1074×	`associate-*r/`
992×	`*-commutative`
930×	`unswap-sqr`
796×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	4068
1	601	3640
2	2382	3512

Stop Event

1×	node limit

Counts

112 → 138

Calls

Call 1

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

Outputs
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(pow.f64 x 4)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(pow.f64 x 4)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 x x)))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 -1 (.f64 x x)) (pow.f64 x 4))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x x -1))))) 1)
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 x 4) 1)) (+.f64 (*.f64 x x) 1))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 x (neg.f64 x))) (fma.f64 x x 1))
(/.f64 (+.f64 (*.f64 x (neg.f64 x)) (pow.f64 x 6)) (fma.f64 x x 1))
(/.f64 (.f64 (.f64 x x) (+.f64 -1 (pow.f64 (.f64 x x) 3))) (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (*.f64 x x))))
(/.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (neg.f64 (.f64 x x)))) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 6)))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 x x) 3) 1)) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (neg.f64 (.f64 x x)))) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 6)))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1) (.f64 x x)) (+.f64 (*.f64 x x) 1))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) (*.f64 x (neg.f64 x))) (fma.f64 x x 1))
(/.f64 (+.f64 (*.f64 x (neg.f64 x)) (pow.f64 x 6)) (fma.f64 x x 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (.f64 x x)) (-.f64 (+.f64 (pow.f64 x 4) 1) (.f64 -1 (*.f64 x x))))
(/.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (neg.f64 (.f64 x x)))) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 6)))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) 1) (.f64 x x)) (+.f64 (pow.f64 x 4) (+.f64 (.f64 x x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (.f64 x x) 3)) (/.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (neg.f64 (.f64 x x)))) (*.f64 x x)))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 6)))
(.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 (.f64 x x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(pow.f64 (.f64 x (.f64 x (fma.f64 x x -1))) 1)
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x x -1)))) 3)
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x x -1))) 3) 1/3)
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) (*.f64 x x)))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 x x -1))))))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x x -1))) 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -1) 3) (pow.f64 (.f64 x x) 3)))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x x -1)))))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x x -1)))))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x x -1)))))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 4))
(-.f64 (pow.f64 x 4) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 x 1)))) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 (fma.f64 x x -1) (/.f64 x (/.f64 (+.f64 x -1) x)))
(.f64 x (.f64 (fma.f64 x x -1) (/.f64 x (+.f64 -1 x))))
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(.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (+.f64 -1 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 x 4))) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x -1))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x x -1)))) (sqrt.f64 (+.f64 -1 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 2)) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (+.f64 -1 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 x 4))) (sqrt.f64 (+.f64 x -1))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x x -1)))) (sqrt.f64 (+.f64 -1 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 2)) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (sqrt.f64 (+.f64 -1 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 x 4))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (.f64 (.f64 x x) (+.f64 x 1))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 x 1))) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 2)) (cbrt.f64 (fma.f64 x x (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(.f64 (cbrt.f64 (fma.f64 x x (pow.f64 x 3))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) 2)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))
(*.f64 (/.f64 x (/.f64 1 (fma.f64 x x -1))) (/.f64 x (+.f64 x -1)))
(.f64 x (.f64 (fma.f64 x x -1) (/.f64 x (+.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (+.f64 -1 x))
(.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))
(/.f64 (.f64 (fma.f64 x x -1) (/.f64 1 (sqrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 (+.f64 -1 x)) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))))
(.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) (/.f64 (.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))))
(/.f64 (.f64 (fma.f64 x x -1) (/.f64 1 (sqrt.f64 (+.f64 -1 x)))) (/.f64 (sqrt.f64 (+.f64 -1 x)) (.f64 x x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (+.f64 -1 x))))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (fma.f64 x x -1))) (/.f64 x (cbrt.f64 (+.f64 x -1))))
(/.f64 (.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (*.f64 x (fma.f64 x x -1))) 1) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x -1))) (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (fma.f64 x x -1))))
(/.f64 (.f64 (.f64 (/.f64 x (cbrt.f64 (+.f64 -1 x))) (*.f64 x (fma.f64 x x -1))) 1) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (cbrt.f64 (+.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)))
(pow.f64 (.f64 (.f64 x x) (+.f64 x 1)) 1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 x 1))) 2)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 x 1))) 3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 x 1)) 3) 1/3)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(pow.f64 (/.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x x)) -1)
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 x) (*.f64 x (fma.f64 x x -1)))))
(.f64 (.f64 x (*.f64 x (fma.f64 x x -1))) (/.f64 -1 (-.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (-.f64 1 x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 1 x))
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 x 1)) 2))
(fabs.f64 (fma.f64 x x (pow.f64 x 3)))
(log.f64 (exp.f64 (.f64 (.f64 x x) (+.f64 x 1))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (+.f64 x 1)))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 x 1)) 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 x 1))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(exp.f64 (log.f64 (.f64 (.f64 x x) (+.f64 x 1))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (+.f64 x 1))))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))

eval40.0ms (1.4%)

Compiler: Compiled 2304 to 1481 computations (35.7% saved)

prune18.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	140	4	144

Error

Counts

144 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1))
▶	0.1b	(*.f64 (/.f64 x (/.f64 1 x)) (+.f64 x 1))
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	1.1b	(*.f64 x x)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize52.0ms (1.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 x (/.f64 1 x)) (+.f64 x 1))
✓	0.1b	(/.f64 x (/.f64 1 x))

Compiler

Compiled 23 to 15 computations (34.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`add-sqr-sqrt`
1818×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1684×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	182	26
2	2665	26

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1148×	`fma-def`
952×	`associate-/r/`
856×	`associate-/l/`
846×	`distribute-lft-in`
748×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1796
1	556	1668
2	2365	1614

Stop Event

1×	node limit

Counts

104 → 100

Calls

Call 1

Inputs
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 1)
(*.f64 x x)
(.f64 1 (.f64 x x))
(.f64 (.f64 x x) 1)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 x)))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 x (pow.f64 x -1/2)))
(*.f64 (/.f64 x -1) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 x 2)
(pow.f64 (*.f64 x x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)
(pow.f64 (pow.f64 x -2) -1)
(pow.f64 (pow.f64 (*.f64 x x) 3) 1/3)
(neg.f64 (/.f64 x (/.f64 -1 x)))
(sqrt.f64 (*.f64 x (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 x x) 3))
(expm1.f64 (log1p.f64 (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x x)))
(+.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (.f64 (pow.f64 x 3) 1) (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))) 1)
(/.f64 x (/.f64 (/.f64 1 x) (+.f64 x 1)))
(/.f64 1 (/.f64 (/.f64 1 x) (+.f64 x (*.f64 x x))))
(/.f64 (+.f64 x 1) (pow.f64 x -2))
(/.f64 (+.f64 x (*.f64 x x)) (/.f64 1 x))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (/.f64 -1 x))
(/.f64 (.f64 x (fma.f64 x x -1)) (.f64 (/.f64 1 x) (+.f64 x -1)))
(/.f64 (.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (/.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 x 1)) (/.f64 -1 x))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 x x)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 x (*.f64 x x)) 1) (/.f64 1 x))
(/.f64 (/.f64 (+.f64 x (*.f64 x x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (/.f64 (+.f64 x (*.f64 x x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (.f64 x (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (-.f64 (.f64 x (pow.f64 x 3)) (.f64 (pow.f64 x 3) (*.f64 x x)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 x x -1)) (.f64 (/.f64 -1 x) (+.f64 x -1)))
(/.f64 (.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (.f64 (/.f64 -1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (.f64 (fma.f64 x x -1) x) (.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (.f64 (fma.f64 x x -1) 1) (.f64 (+.f64 x -1) (pow.f64 x -2)))
(/.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (.f64 (+.f64 x -1) (/.f64 -1 x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) x) (.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 1) (.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x -2)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (neg.f64 x)) (.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (/.f64 -1 x))
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(exp.f64 (+.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(exp.f64 (.f64 (+.f64 (log.f64 (.f64 x x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x x) x (.f64 x x))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 x 3)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 1)
(*.f64 x x)
(*.f64 x x)
(.f64 1 (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) 1)
(*.f64 x x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 x x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (pow.f64 (cbrt.f64 x) 2))
(*.f64 x x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2))
(*.f64 x x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(*.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(*.f64 x x)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 x)))
(*.f64 x x)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x x)
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 x (pow.f64 x -1/2)))
(*.f64 x x)
(*.f64 (/.f64 x -1) (neg.f64 x))
(*.f64 x x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 x x)
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x -2))) (.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 x x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 x -1/2)))
(*.f64 x x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x -2))) (.f64 (sqrt.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 (pow.f64 x -2))))
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 (*.f64 x x) 1)
(*.f64 x x)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)
(*.f64 x x)
(pow.f64 (pow.f64 x -2) -1)
(*.f64 x x)
(pow.f64 (pow.f64 (*.f64 x x) 3) 1/3)
(*.f64 x x)
(neg.f64 (/.f64 x (/.f64 -1 x)))
(*.f64 x x)
(sqrt.f64 (*.f64 x (pow.f64 x 3)))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 x) x))
(*.f64 x x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x x))))
(*.f64 x x)
(cbrt.f64 (pow.f64 (*.f64 x x) 3))
(*.f64 x x)
(expm1.f64 (log1p.f64 (*.f64 x x)))
(*.f64 x x)
(exp.f64 (log.f64 (*.f64 x x)))
(*.f64 x x)
(exp.f64 (.f64 (log.f64 (.f64 x x)) 1))
(*.f64 x x)
(log1p.f64 (expm1.f64 (*.f64 x x)))
(*.f64 x x)
(+.f64 (*.f64 x x) (pow.f64 x 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (.f64 (pow.f64 x 3) 1) (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 x (/.f64 (/.f64 1 x) (+.f64 x 1)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 1 (/.f64 (/.f64 1 x) (+.f64 x (*.f64 x x))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (+.f64 x 1) (pow.f64 x -2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (+.f64 x (*.f64 x x)) (/.f64 1 x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (.f64 (.f64 x x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (/.f64 -1 x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 x (fma.f64 x x -1)) (.f64 (/.f64 1 x) (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (.f64 x (+.f64 1 (pow.f64 x 3))) (.f64 (/.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (neg.f64 x) (+.f64 x 1)) (/.f64 -1 x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (.f64 x x)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (/.f64 (+.f64 x (*.f64 x x)) 1) (/.f64 1 x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (/.f64 (+.f64 x (*.f64 x x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(/.f64 (/.f64 (+.f64 x (*.f64 x x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 (/.f64 (+.f64 x (.f64 x x)) (cbrt.f64 (pow.f64 x -2))) 1) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (fma.f64 x x x) (cbrt.f64 (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (.f64 x (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 x 4)) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (-.f64 (.f64 x (pow.f64 x 3)) (.f64 (pow.f64 x 3) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 (.f64 x x) 3) (-.f64 (.f64 x (pow.f64 x 3)) (.f64 (pow.f64 x 3) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) (-.f64 x (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 4) (pow.f64 x 5))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 x x -1)) (.f64 (/.f64 -1 x) (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (.f64 (/.f64 -1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (fma.f64 x x -1) x) (.f64 (+.f64 x -1) (/.f64 1 x)))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (.f64 (fma.f64 x x -1) 1) (.f64 (+.f64 x -1) (pow.f64 x -2)))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (.f64 (fma.f64 x x -1) (neg.f64 x)) (.f64 (+.f64 x -1) (/.f64 -1 x)))
(/.f64 (fma.f64 x x -1) (*.f64 (pow.f64 x -2) (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 x (/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) x) (.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) 1) (.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (.f64 (+.f64 1 (pow.f64 x 3)) (neg.f64 x)) (.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 -1 x)))
(/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (pow.f64 x -2) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 x (pow.f64 x 4)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (fma.f64 x x (pow.f64 x 5)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (/.f64 -1 x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 1)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 x (hypot.f64 1 (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))) 3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 2))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x 1)))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(exp.f64 (+.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(.f64 (.f64 x x) (exp.f64 (log1p.f64 x)))
(exp.f64 (.f64 (+.f64 (log.f64 (.f64 x x)) (log1p.f64 x)) 1))
(.f64 (.f64 x x) (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1))

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`add-sqr-sqrt`
1762×	`*-un-lft-identity`
1644×	`add-cube-cbrt`
1626×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	197	19
2	2903	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify57.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1060×	`distribute-lft-in`
1034×	`distribute-rgt-in`
872×	`associate-*r/`
790×	`associate-/l*`
430×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1122
1	304	1074
2	1235	1050
3	4798	1050

Stop Event

1×	node limit

Counts

48 → 88

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x -1) x)))) 1)
(.f64 x (.f64 x (/.f64 1 (+.f64 x -1))))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x -1) x)))
(*.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 1)
(*.f64 1 (/.f64 x (/.f64 (+.f64 x -1) x)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x -1))))
(.f64 (.f64 x x) (/.f64 1 (+.f64 x -1)))
(.f64 (.f64 x x) (/.f64 1 (+.f64 x 1)))
(.f64 (/.f64 1 (+.f64 x -1)) (.f64 x x))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 x -1))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 x (+.f64 x -1)) x)
(.f64 (/.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x 1))
(.f64 (/.f64 (.f64 x x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x -1) (*.f64 x x)) -1)
(neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 2))
(log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 x -1) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 x x)) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (*.f64 x x))
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3))
(+.f64 (fma.f64 x x (pow.f64 x 3)) (pow.f64 x 4))
(fma.f64 x (fma.f64 x x x) (pow.f64 x 4))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 3))))
(+.f64 (+.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (fma.f64 x x (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 5)))
(+.f64 (pow.f64 x 4) (fma.f64 x (fma.f64 x x x) (pow.f64 x 5)))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x -1) (/.f64 1 x))
(-.f64 (fma.f64 x -1 -1) (/.f64 1 x))
(-.f64 (-.f64 -1 (/.f64 1 x)) x)
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (fma.f64 x -1 -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 x) (*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 1 x))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x -1) (/.f64 1 x))
(-.f64 (fma.f64 x -1 -1) (/.f64 1 x))
(-.f64 (-.f64 -1 (/.f64 1 x)) x)
(-.f64 (*.f64 -1 x) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (fma.f64 x -1 -1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 x) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 x) (*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x -1) x)))) 1)
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(.f64 x (.f64 x (/.f64 1 (+.f64 x -1))))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x -1) x)))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(*.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 1)
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(*.f64 1 (/.f64 x (/.f64 (+.f64 x -1) x)))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) 2)
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) 2))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) 2) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x -1))))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(.f64 (.f64 x x) (/.f64 1 (+.f64 x -1)))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(.f64 (.f64 x x) (/.f64 1 (+.f64 x 1)))
(/.f64 (.f64 (.f64 x x) 1) (+.f64 x 1))
(/.f64 (*.f64 x x) (+.f64 x 1))
(.f64 (/.f64 1 (+.f64 x -1)) (.f64 x x))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (.f64 x x) (sqrt.f64 (+.f64 x -1))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) 2)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 x -1)) x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x -1))) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(*.f64 (/.f64 x (+.f64 x -1)) x)
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(.f64 (/.f64 (.f64 x x) (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 x (/.f64 (fma.f64 x x -1) x)))
(/.f64 (fma.f64 x x (pow.f64 x 3)) (fma.f64 x x -1))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x -1)) x)
(*.f64 (/.f64 x (fma.f64 x x -1)) (fma.f64 x x x))
(.f64 (/.f64 (.f64 x x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))
(.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 3) -1)) x) (fma.f64 x x (+.f64 x 1)))
(/.f64 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)) (+.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1)))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (/.f64 (cbrt.f64 (+.f64 x -1)) x)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x -1))) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1)))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x -1))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) 2)
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x -1))) (/.f64 (pow.f64 (cbrt.f64 x) 4) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) (/.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 (cbrt.f64 (/.f64 (.f64 x x) (+.f64 x -1))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (.f64 x (cbrt.f64 x))))
(pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 1)
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x -1) x))) 3)
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 3) 1/3)
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(pow.f64 (/.f64 (+.f64 x -1) (*.f64 x x)) -1)
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x)))
(/.f64 (neg.f64 x) (/.f64 (+.f64 x -1) x))
(*.f64 (neg.f64 x) (/.f64 x (+.f64 x -1)))
(/.f64 x (/.f64 (+.f64 x -1) (neg.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 2))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(log.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (+.f64 x -1) x)))))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) 3))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 x)))
(/.f64 x (/.f64 (exp.f64 (log1p.f64 x)) x))
(exp.f64 (.f64 (-.f64 (log.f64 (.f64 x x)) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log1p.f64 x)))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 x)))
(/.f64 x (/.f64 (exp.f64 (log1p.f64 x)) x))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(/.f64 (*.f64 x x) (+.f64 x -1))
(/.f64 x (/.f64 (+.f64 x -1) x))

eval47.0ms (1.6%)

Compiler: Compiled 2194 to 1319 computations (39.9% saved)

prune23.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	187	5	192

Error

Counts

192 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1))
✓	0.1b	(*.f64 (/.f64 x (/.f64 1 x)) (+.f64 x 1))
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	1.1b	(*.f64 x x)
	61.0b	(neg.f64 x)

Compiler

Compiled 34 to 22 computations (35.3% saved)

regimes11.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)
(.f64 (+.f64 x 1) (.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 x -1))
(*.f64 (/.f64 x (/.f64 1 x)) (+.f64 x 1))
(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(/.f64 (.f64 (fma.f64 x x -1) (.f64 x x)) (+.f64 x -1))
(fma.f64 x x (pow.f64 x 3))

Outputs
(fma.f64 x x (pow.f64 x 3))

Calls

2 calls:

6.0ms	x
3.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 75 to 34 computations (54.7% saved)

regimes8.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 x (fma.f64 x x x))

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 69 to 31 computations (55.1% saved)

regimes11.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(.f64 (+.f64 x 1) (.f64 x x))

Calls

2 calls:

7.0ms	x
2.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))`

Compiler

Compiled 51 to 23 computations (54.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total -59.9b remaining (-5546.5%)

Threshold costs -59.9b (-5546.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 8 to 4 computations (50% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`+-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	23	61
2	25	61
3	26	61

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (+.f64 x 1) (.f64 x x))
(*.f64 x x)
(neg.f64 x)

Outputs
(fma.f64 x x (pow.f64 x 3))
(*.f64 x (fma.f64 x x x))
(.f64 (+.f64 x 1) (.f64 x x))
(*.f64 x x)
(neg.f64 x)

Compiler

Compiled 29 to 16 computations (44.8% saved)

soundness301.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

3512×	`sqr-pow`
1426×	`pow-sqr`
1160×	`cube-prod`
742×	`fabs-mul`
736×	`cube-mult`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	17	15
2	34	15
3	47	15
4	66	15
5	124	15
6	222	15
7	644	15
8	1046	15
9	1134	15
10	1271	15
11	1433	15
12	1671	15
13	1984	15
14	2379	15
15	2852	15
16	3391	15
17	4031	15
18	4252	15
19	4448	15
20	4588	15
21	4674	15
22	4732	15
23	5622	15
24	6672	15
25	6974	15
26	7268	15
27	7400	15
28	7410	15
29	7410	15

Stop Event

1×	node limit

Compiler

Compiled 33 to 9 computations (72.7% saved)

end34.0ms (1.2%)

Compiler: Compiled 25 to 11 computations (56% saved)

Details

analyze30.0ms (1%)

sample847.0ms (29%)

preprocess257.0ms (8.8%)

simplify262.0ms (9%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite66.0ms (2.2%)

simplify49.0ms (1.7%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite77.0ms (2.6%)

simplify59.0ms (2%)

localize5.0ms (0.2%)

eval15.0ms (0.5%)

prune34.0ms (1.1%)

localize2.0ms (0.1%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite82.0ms (2.8%)

simplify57.0ms (2%)

eval6.0ms (0.2%)

prune6.0ms (0.2%)

localize12.0ms (0.4%)

series2.0ms (0.1%)

rewrite69.0ms (2.4%)

simplify123.0ms (4.2%)

eval40.0ms (1.4%)

prune18.0ms (0.6%)

localize52.0ms (1.8%)

series1.0ms (0%)

rewrite84.0ms (2.9%)

simplify59.0ms (2%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite76.0ms (2.6%)

simplify57.0ms (1.9%)

eval47.0ms (1.6%)

prune23.0ms (0.8%)

regimes11.0ms (0.4%)

regimes8.0ms (0.3%)

regimes11.0ms (0.4%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness301.0ms (10.3%)

end34.0ms (1.2%)

Profiling