Details

analyze5.0ms (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)

sample1.2s (48.9%)

Results

1.2s	8256×	body	256	valid
1.0ms	17×	body	256	infinite

Bogosity

preprocess48.0ms (1.9%)

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)

simplify63.0ms (2.5%)

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%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.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	@	0	(exp.f64 (+.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))

rewrite85.0ms (3.3%)

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	13
1	169	13
2	2041	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(exp.f64 (+.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))))))))

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))))))))

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-+r+`
1016×	`associate-r`
910×	`fma-def`
840×	`*-commutative`
838×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	598
1	157	590
2	559	566
3	2906	552
4	7133	552

Stop Event

1×	node limit

Counts

34 → 40

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))
(-.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))))

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))))
(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))
(-.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))
(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 (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))

eval13.0ms (0.5%)

Compiler: Compiled 442 to 336 computations (24% saved)

prune5.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Error

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))
▶	0.3b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.6b	(exp.f64 -1)

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize6.0ms (0.2%)

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

localize9.0ms (0.3%)

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))

rewrite59.0ms (2.3%)

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))))))))

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))))))))

simplify64.0ms (2.5%)

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))

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite53.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`add-sqr-sqrt`
1556×	`*-un-lft-identity`
1436×	`add-cube-cbrt`
1420×	`add-cbrt-cube`
1406×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	180	13
2	2023	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(pow.f64 (E.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))) (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))) (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 *.f64 (pow.f64 (E.f64) (*.f64 x x)) (pow.f64 (E.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (fma.f64 x x -1)) (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))))) (#(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 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))))))))

simplify59.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-/r/`
1130×	`associate-+r+`
1080×	`associate-/l/`
1042×	`associate-+l+`
682×	`unswap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	634
1	186	582
2	495	498
3	1379	492
4	3916	484

Stop Event

1×	node limit

Counts

22 → 38

Calls

Call 1

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

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

eval23.0ms (0.9%)

Compiler: Compiled 906 to 635 computations (29.9% saved)

prune14.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	76	4	80

Error

Counts

80 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	0.3b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.6b	(exp.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (fma.f64 x x -1))
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0ms	x	@	-inf	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0ms	x	@	inf	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0ms	x	@	0	(expm1.f64 (fma.f64 x x -1))
0.0ms	x	@	inf	(expm1.f64 (fma.f64 x x -1))

rewrite61.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`add-sqr-sqrt`
1766×	`*-un-lft-identity`
1636×	`add-cube-cbrt`
1620×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	194	26
2	2221	26

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(expm1.f64 (fma.f64 x x -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (fma.f64 x x -1)) 0)))) (#(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 (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) (/.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.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 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 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (expm1.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 /.f64 1 (/.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (expm1.f64 (fma.f64 x x -1)))) (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (+.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (expm1.f64 (fma.f64 x x -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 (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 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 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 fma.f64 1 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.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 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1) (+.f64 (exp.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) (+.f64 1 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (fma.f64 x x -1))))))))

simplify309.0ms (12.1%)

Algorithm

1×	egg-herbie

Rules

1106×	`fma-def`
862×	`+-commutative`
704×	`unswap-sqr`
678×	`associate-/l*`
614×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1969
1	310	1915
2	1385	1845
3	7951	1845

Stop Event

1×	node limit

Counts

81 → 99

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

eval35.0ms (1.4%)

Compiler: Compiled 1481 to 1161 computations (21.6% saved)

prune13.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	99	4	103

Error

Counts

103 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	0.3b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.6b	(exp.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes15.0ms (0.6%)

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))))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (E.f64) (fma.f64 x x -1))

Outputs
(pow.f64 (E.f64) (fma.f64 x x -1))

Calls

5 calls:

4.0ms	x
3.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (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 (0.6%)

Accuracy

Total -0.6b remaining (-7866%)

Threshold costs -0.6b (-7866%)

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))))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

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

Calls

5 calls:

4.0ms	x
3.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(exp.f64 (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 58 to 39 computations (32.8% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`e-exp-1`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	17	39
2	19	39

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(pow.f64 (E.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 17 to 13 computations (23.5% saved)

soundness208.0ms (8.1%)

Algorithm

2×	egg-herbie

Rules

1370×	`associate-+r+`
1242×	`associate-+r+`
1144×	`associate-+l+`
1016×	`associate-r`
974×	`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
0	74	598
1	157	590
2	559	566
3	2906	552
4	7133	552

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 50 to 32 computations (36% saved)

end20.0ms (0.8%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

Details

analyze5.0ms (0.2%)

sample1.2s (48.9%)

preprocess48.0ms (1.9%)

simplify63.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite85.0ms (3.3%)

simplify85.0ms (3.3%)

eval13.0ms (0.5%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite59.0ms (2.3%)

simplify64.0ms (2.5%)

localize10.0ms (0.4%)

series1.0ms (0%)

rewrite53.0ms (2.1%)

simplify59.0ms (2.3%)

eval23.0ms (0.9%)

prune14.0ms (0.5%)

localize11.0ms (0.4%)

series1.0ms (0%)

rewrite61.0ms (2.4%)

simplify309.0ms (12.1%)

eval35.0ms (1.4%)

prune13.0ms (0.5%)

regimes15.0ms (0.6%)

regimes14.0ms (0.6%)

simplify9.0ms (0.3%)

soundness208.0ms (8.1%)

end20.0ms (0.8%)

Profiling