Details

analyze3.0ms (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
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50%	0.4%	0%	49.6%	0%	0%	10
99.6%	50.2%	0.2%	0%	49.6%	0%	0%	11
99.8%	50.2%	0.1%	0%	49.7%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample942.0ms (60.2%)

Results

931.0ms	8256×	body	256	valid
1.0ms	11×	body	256	infinite

Bogosity

preprocess64.0ms (4.1%)

Algorithm

2×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify68.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	13

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(exp.f64 (fma.f64 x x -1))
▶	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`add-sqr-sqrt`
1294×	`*-un-lft-identity`
1208×	`add-cube-cbrt`
1200×	`add-cbrt-cube`
1194×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	133	9
2	1657	9

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

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

simplify52.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-/r*`
1004×	`associate-r`
848×	`*-commutative`
786×	`associate-l`
712×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	826
1	200	746
2	760	662
3	3654	662

Stop Event

1×	node limit

Counts

44 → 41

Calls

Call 1

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

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

localize6.0ms (0.4%)

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

eval10.0ms (0.6%)

Compiler: Compiled 446 to 329 computations (26.2% saved)

prune6.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	40	3	43

Error

Counts

43 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶	0.5b	(exp.f64 -1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize3.0ms (0.2%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize10.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite74.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`add-sqr-sqrt`
1738×	`*-un-lft-identity`
1626×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	175	9
2	2294	9

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1572×	`fma-def`
944×	`associate-/r*`
710×	`associate-*r/`
698×	`*-commutative`
528×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1096
1	400	1004
2	2013	964

Stop Event

1×	node limit

Counts

56 → 63

Calls

Call 1

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

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

eval18.0ms (1.1%)

Compiler: Compiled 965 to 623 computations (35.4% saved)

prune7.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	63	3	66

Error

Counts

66 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	0.5b	(exp.f64 -1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes13.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(exp.f64 (fma.f64 x x -1))

Calls

5 calls:

4.0ms	x
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0b	1	`(-.f64 1 (*.f64 x x))`
0b	1	`(*.f64 x x)`

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes12.0ms (0.8%)

Accuracy

Total -0.5b remaining (-13127.4%)

Threshold costs -0.5b (-13127.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 51 to 35 computations (31.4% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	13	35

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (fma.f64 x x -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 -1)

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

Compiler

Compiled 16 to 12 computations (25% saved)

soundness136.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	13

Stop Event

1×	node limit

Compiler

Compiled 41 to 25 computations (39% saved)

end21.0ms (1.4%)

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

Details

analyze3.0ms (0.2%)

sample942.0ms (60.2%)

preprocess64.0ms (4.1%)

simplify68.0ms (4.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series1.0ms (0%)

rewrite54.0ms (3.4%)

simplify52.0ms (3.3%)

localize6.0ms (0.4%)

eval10.0ms (0.6%)

prune6.0ms (0.4%)

localize3.0ms (0.2%)

localize10.0ms (0.7%)

series1.0ms (0.1%)

rewrite74.0ms (4.7%)

simplify47.0ms (3%)

eval18.0ms (1.1%)

prune7.0ms (0.5%)

regimes13.0ms (0.9%)

regimes12.0ms (0.8%)

simplify8.0ms (0.5%)

soundness136.0ms (8.7%)

end21.0ms (1.4%)

Profiling