Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample835.0ms (52.5%)

Results

824.0ms	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess24.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

154×	`fma-def`
80×	`associate-+l+`
64×	`associate-+l-`
62×	`associate--r+`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify54.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

154×	`fma-def`
80×	`associate-+l+`
64×	`associate-+l-`
62×	`associate--r+`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x x) x)
▶	100.0%	(*.f64 x (-.f64 x 1))

Compiler

Compiled 12 to 7 computations (41.7% saved)

localize4.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 x 1))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`add-sqr-sqrt`
1212×	`*-un-lft-identity`
1134×	`add-cube-cbrt`
1120×	`add-cbrt-cube`
1110×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	125	13
2	1567	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1104×	`fma-def`
840×	`*-commutative`
712×	`associate-r`
700×	`+-commutative`
682×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	409
1	126	397
2	400	397
3	2445	397
4	5658	397

Stop Event

1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) x)

Compiler

Compiled 10 to 3 computations (70% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`add-sqr-sqrt`
1208×	`*-un-lft-identity`
1136×	`add-cube-cbrt`
1128×	`add-cbrt-cube`
1120×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	112	13
2	1579	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify68.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-*r/`
842×	`associate-+r-`
836×	`*-commutative`
826×	`fma-def`
756×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1006
1	254	926
2	1072	914
3	4503	914

Stop Event

1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval13.0ms (0.8%)

Compiler: Compiled 720 to 329 computations (54.3% saved)

prune209.0ms (13.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Accurracy

100.0%

Counts

77 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) x)
✓	100.0%	(*.f64 x (-.f64 x 1))
▶	35.8%	(*.f64 x x)
▶	67.2%	(neg.f64 x)

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize2.0ms (0.1%)

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) x)
✓	100.0%	(*.f64 x (-.f64 x 1))
✓	35.8%	(*.f64 x x)
✓	67.2%	(neg.f64 x)

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes9.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(*.f64 x (-.f64 x 1))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 x (-.f64 x 1))`

Compiler

Compiled 24 to 12 computations (50% saved)

regimes126.0ms (7.9%)

Accuracy

Total -59.3b remaining (-4290.5%)

Threshold costs -59.3b (-4290.5%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(*.f64 x x)
(neg.f64 x)
(*.f64 x x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`x`

Compiler

Compiled 8 to 4 computations (50% saved)

bsearch23.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.15984872373268263	1.7244764710772367
14.0ms	-233.39967852782829	-7.048054804251302e-13

Results

19.0ms

256×

body

256

valid

Compiler

Compiled 154 to 103 computations (33.1% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	29	55
2	32	55
3	33	55

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 x 1))
(if (<=.f64 x -1) (.f64 x x) (if (<=.f64 x 1) (neg.f64 x) (.f64 x x)))
(neg.f64 x)

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

Compiler

Compiled 26 to 15 computations (42.3% saved)

soundness0.0ms (0%)

end53.0ms (3.3%)

Compiler: Compiled 24 to 12 computations (50% saved)

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13
0	1	1

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13
0	1	1

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13

Details

analyze2.0ms (0.2%)

sample835.0ms (52.5%)

preprocess24.0ms (1.5%)

simplify54.0ms (3.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series1.0ms (0.1%)

rewrite47.0ms (2.9%)

simplify53.0ms (3.3%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite49.0ms (3.1%)

simplify68.0ms (4.3%)

eval13.0ms (0.8%)

prune209.0ms (13.1%)

localize2.0ms (0.1%)

localize2.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.3%)

regimes9.0ms (0.5%)

regimes126.0ms (7.9%)

bsearch23.0ms (1.4%)

simplify6.0ms (0.4%)

soundness0.0ms (0%)

end53.0ms (3.3%)

Profiling

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13
0	1	1

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	24	13
4	28	13
5	33	13
6	44	13
7	66	13
8	150	13
9	339	13
10	529	13
11	550	13
12	552	13