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)

sample849.0ms (41.3%)

Results

836.0ms	8256×	body	256	valid
1.0ms	15×	body	256	infinite

Bogosity

preprocess51.0ms (2.5%)

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)

simplify57.0ms (2.8%)

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

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(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)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	169	22
2	2041	22

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

simplify66.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1786×	`associate-*r/`
1462×	`associate-*l/`
862×	`unswap-sqr`
572×	`distribute-lft-in`
534×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1388
1	317	1296
2	1236	1192
3	5269	1192

Stop Event

1×	node limit

Counts

80 → 80

Calls

Call 1

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

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite61.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`add-sqr-sqrt`
1156×	`*-un-lft-identity`
1096×	`pow1`
1064×	`add-cube-cbrt`
1052×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	133	13
2	1427	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify74.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1126×	`associate-r`
916×	`fma-def`
866×	`associate-l`
822×	`*-commutative`
632×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	570
1	147	562
2	576	436
3	2714	422
4	4916	422
5	6998	422

Stop Event

1×	node limit

Counts

24 → 39

Calls

Call 1

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

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

eval52.0ms (2.5%)

Compiler: Compiled 1322 to 997 computations (24.6% saved)

prune43.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	117	4	121

Error

Counts

121 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶	0.8b	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize3.0ms (0.1%)

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

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 18 computations (28% saved)

series38.0ms (1.9%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	inf	(*.f64 (+.f64 x 1) (+.f64 x -1))
0.0ms	x	@	-inf	(*.f64 (+.f64 x 1) (+.f64 x -1))
0.0ms	x	@	0	(*.f64 (+.f64 x 1) (+.f64 x -1))
0.0ms	x	@	-inf	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
0.0ms	x	@	0	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))

rewrite101.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-*r/`
1182×	`associate-*l/`
892×	`*-commutative`
766×	`distribute-lft-in`
692×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	211	22
2	2685	22

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 x x) (neg.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 x -1) (+.f64 x (*.f64 x 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 -1) (*.f64 1 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (*.f64 x (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 x (neg.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x -1))))) 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1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) 1) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3))) 1) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) 1) (*.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 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (fma.f64 x x (-.f64 1 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#<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 cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 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 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)))))))

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

simplify79.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-/l*`
1122×	`distribute-lft-in`
1032×	`distribute-rgt-in`
876×	`times-frac`
736×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	500	7481
1	1384	6423

Stop Event

1×	node limit

Counts

225 → 286

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)
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1))))
(+.f64 x (+.f64 (*.f64 x x) (neg.f64 (+.f64 x 1))))
(+.f64 -1 (*.f64 x x))
(+.f64 -1 (+.f64 1 (fma.f64 x x -1)))
(+.f64 -1 (+.f64 (.f64 x -1) (+.f64 x (.f64 x x))))
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(+.f64 (+.f64 x -1) (.f64 1 (.f64 x (+.f64 x -1))))
(+.f64 (+.f64 x -1) (.f64 (.f64 x (+.f64 x -1)) 1))
(+.f64 (fma.f64 x x -1) 0)
(+.f64 (*.f64 x x) -1)
(+.f64 (*.f64 x x) (+.f64 x (neg.f64 (+.f64 x 1))))
(+.f64 0 (fma.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 x -1) (+.f64 -1 (+.f64 x (.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(+.f64 (+.f64 0 (+.f64 x -1)) (*.f64 x (+.f64 x -1)))
(+.f64 (+.f64 0 (*.f64 x x)) -1)
(+.f64 (+.f64 0 (+.f64 x (*.f64 x x))) (neg.f64 (+.f64 x 1)))
(+.f64 (+.f64 0 (neg.f64 (+.f64 x 1))) (+.f64 x (*.f64 x x)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 0 (*.f64 x (+.f64 x -1))) (+.f64 x -1))
(+.f64 (+.f64 (+.f64 x (.f64 x x)) -1) (.f64 x -1))
(+.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 x -1)) -1)
(+.f64 (+.f64 (neg.f64 (+.f64 x 1)) x) (*.f64 x x))
(+.f64 (+.f64 (neg.f64 (+.f64 x 1)) (*.f64 x x)) x)
(+.f64 (+.f64 (*.f64 x (+.f64 x -1)) x) -1)
(+.f64 (+.f64 (*.f64 x (+.f64 x -1)) -1) x)
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(*.f64 (exp.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (exp.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(.f64 (exp.f64 (+.f64 x (.f64 x x))) (exp.f64 (neg.f64 (+.f64 x 1))))
(.f64 (exp.f64 (neg.f64 (+.f64 x 1))) (exp.f64 (+.f64 x (.f64 x x))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 (exp.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) -1) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (E.f64) (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.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)
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 (*.f64 1/2 (pow.f64 x 4)) (exp.f64 -1)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 (.f64 1/2 (pow.f64 x 4)) (exp.f64 -1))))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (.f64 -1 (.f64 (-.f64 1 (.f64 -1 x)) (+.f64 1 (.f64 -1 x)))))
(exp.f64 (fma.f64 x x -1))
(+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1))))
(fma.f64 x x -1)
(+.f64 x (+.f64 (*.f64 x x) (neg.f64 (+.f64 x 1))))
(fma.f64 x x -1)
(+.f64 -1 (*.f64 x x))
(fma.f64 x x -1)
(+.f64 -1 (+.f64 1 (fma.f64 x x -1)))
(fma.f64 x x -1)
(+.f64 -1 (+.f64 (.f64 x -1) (+.f64 x (.f64 x x))))
(fma.f64 x x -1)
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(+.f64 (+.f64 x -1) (.f64 1 (.f64 x (+.f64 x -1))))
(fma.f64 x x -1)
(+.f64 (+.f64 x -1) (.f64 (.f64 x (+.f64 x -1)) 1))
(fma.f64 x x -1)
(+.f64 (fma.f64 x x -1) 0)
(fma.f64 x x -1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(+.f64 (*.f64 x x) (+.f64 x (neg.f64 (+.f64 x 1))))
(fma.f64 x x -1)
(+.f64 0 (fma.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 x -1) (+.f64 -1 (+.f64 x (.f64 x x))))
(fma.f64 x x -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(+.f64 (+.f64 0 (+.f64 x -1)) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(+.f64 (+.f64 0 (*.f64 x x)) -1)
(fma.f64 x x -1)
(+.f64 (+.f64 0 (+.f64 x (*.f64 x x))) (neg.f64 (+.f64 x 1)))
(fma.f64 x x -1)
(+.f64 (+.f64 0 (neg.f64 (+.f64 x 1))) (+.f64 x (*.f64 x x)))
(fma.f64 x x -1)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (+.f64 0 (*.f64 x (+.f64 x -1))) (+.f64 x -1))
(fma.f64 x x -1)
(+.f64 (+.f64 (+.f64 x (.f64 x x)) -1) (.f64 x -1))
(fma.f64 x x -1)
(+.f64 (+.f64 (+.f64 x (.f64 x x)) (.f64 x -1)) -1)
(fma.f64 x x -1)
(+.f64 (+.f64 (neg.f64 (+.f64 x 1)) x) (*.f64 x x))
(fma.f64 x x -1)
(+.f64 (+.f64 (neg.f64 (+.f64 x 1)) (*.f64 x x)) x)
(fma.f64 x x -1)
(+.f64 (+.f64 (*.f64 x (+.f64 x -1)) x) -1)
(fma.f64 x x -1)
(+.f64 (+.f64 (*.f64 x (+.f64 x -1)) -1) x)
(fma.f64 x x -1)
(+.f64 (.f64 1 (.f64 x (+.f64 x -1))) (+.f64 x -1))
(fma.f64 x x -1)
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (.f64 (.f64 x (+.f64 x -1)) 1) (+.f64 x -1))
(fma.f64 x x -1)
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)
(+.f64 (.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) 1) (.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(-.f64 x (-.f64 1 (*.f64 x (+.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 (/.f64 x (/.f64 (+.f64 x 1) x)) (-.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x (+.f64 x -1))))
(fma.f64 x x -1)
(-.f64 (+.f64 0 (*.f64 x x)) 1)
(fma.f64 x x -1)
(-.f64 (+.f64 (*.f64 x (+.f64 x -1)) x) 1)
(fma.f64 x x -1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 x x -1)))) 1)
(fma.f64 x x -1)
(-.f64 (+.f64 (*.f64 x (+.f64 x -1)) (/.f64 x (/.f64 (+.f64 x 1) x))) (/.f64 1 (+.f64 x 1)))
(fma.f64 x x -1)
(/.f64 1 (/.f64 (fma.f64 x x -1) (pow.f64 (fma.f64 x x -1) 2)))
(fma.f64 x x -1)
(/.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))
(fma.f64 x x -1)
(/.f64 (+.f64 x -1) (/.f64 1 (+.f64 x 1)))
(fma.f64 x x -1)
(/.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(/.f64 (fma.f64 x x -1) (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)))
(fma.f64 x x -1)
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x -1) (+.f64 x -1)))
(fma.f64 x x -1)
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x 1) (+.f64 x 1)))
(fma.f64 x x -1)
(/.f64 (fma.f64 x x -1) (/.f64 (.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (.f64 x -1)))) (+.f64 -1 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 x x -1) (.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 (neg.f64 x))))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 x 1) (fma.f64 x x (+.f64 x 1))))
(/.f64 (fma.f64 x x -1) (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 1 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -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 (pow.f64 (+.f64 x 1) 2) (/.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x -1) 2)))
(fma.f64 x x -1)
(/.f64 (pow.f64 (+.f64 x -1) 2) (/.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x 1) 2)))
(fma.f64 x x -1)
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))) (fma.f64 x x -1)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (.f64 x -1)))) (+.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x 1)))
(.f64 (/.f64 (fma.f64 x x -1) (.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 (neg.f64 x))))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 x 1) (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (.f64 x -1)))) (fma.f64 x x -1)))
(.f64 (/.f64 (fma.f64 x x -1) (.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 (neg.f64 x))))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 x 1) (fma.f64 x x (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (.f64 x -1)))) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))
(fma.f64 x x -1)
(/.f64 (*.f64 (fma.f64 x x -1) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (fma.f64 x x -1) (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 1 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (sqrt.f64 (fma.f64 x x -1)) 1))
(/.f64 (*.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (/.f64 (fma.f64 x x -1) (cbrt.f64 (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 x)))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 x))))
(/.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 (fma.f64 x x -1) (.f64 (+.f64 -1 x) (fma.f64 x x (-.f64 1 (neg.f64 x))))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 x 1) (fma.f64 x x (+.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 x) (-.f64 x (neg.f64 (+.f64 x 1)))))
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(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) -1) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 (neg.f64 x) -1)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 x 1))
(pow.f64 (E.f64) (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (+.f64 -1 x)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x x -1)))))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(exp.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(exp.f64 (fma.f64 x x -1))

localize11.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1616×	`add-cube-cbrt`
1598×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	198	19
2	2290	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify65.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1566×	`fma-def`
988×	`+-commutative`
962×	`associate-*r/`
846×	`associate-r`
742×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	727
1	168	727
2	471	727
3	2535	693
4	5995	689

Stop Event

1×	node limit

Counts

33 → 38

Calls

Call 1

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

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

eval114.0ms (5.6%)

Compiler: Compiled 5459 to 3839 computations (29.7% saved)

prune49.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	324	4	328

Error

Counts

328 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	0.8b	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes15.0ms (0.7%)

Counts

6 → 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)))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(exp.f64 (fma.f64 x x -1))

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

Calls

5 calls:

6.0ms	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 64 to 43 computations (32.8% saved)

regimes14.0ms (0.7%)

Accuracy

Total -0.8b remaining (-7174.3%)

Threshold costs -0.8b (-7174.3%)

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

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

Calls

5 calls:

5.0ms	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 59 to 40 computations (32.2% saved)

simplify4.0ms (0.2%)

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)

soundness122.0ms (5.9%)

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%)

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

Details

analyze3.0ms (0.2%)

sample849.0ms (41.3%)

preprocess51.0ms (2.5%)

simplify57.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize7.0ms (0.3%)

series1.0ms (0.1%)

rewrite59.0ms (2.9%)

simplify66.0ms (3.2%)

localize8.0ms (0.4%)

series0.0ms (0%)

rewrite61.0ms (2.9%)

simplify74.0ms (3.6%)

eval52.0ms (2.5%)

prune43.0ms (2.1%)

localize3.0ms (0.1%)

localize10.0ms (0.5%)

series38.0ms (1.9%)

rewrite101.0ms (4.9%)

simplify79.0ms (3.9%)

localize11.0ms (0.6%)

series1.0ms (0%)

rewrite78.0ms (3.8%)

simplify65.0ms (3.2%)

eval114.0ms (5.6%)

prune49.0ms (2.4%)

regimes15.0ms (0.7%)

regimes14.0ms (0.7%)

simplify4.0ms (0.2%)

soundness122.0ms (5.9%)

end21.0ms (1%)

Profiling