Details

analyze7.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample875.0ms (55.4%)

Results

860.0ms

8256×

body

256

valid

preprocess16.0ms (1%)

Algorithm

2×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	15	16
2	16	16

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 12 to 9 computations (25% saved)

localize45.0ms (2.8%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
560×	`add-log-exp_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1515	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (3%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-neg_binary64`
486×	`associate-l_binary64`
431×	`associate-r_binary64`
326×	`cancel-sign-sub-inv_binary64`
251×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	579
1	276	482
2	811	397
3	4615	394

Stop Event

1×	node limit

Counts

44 → 69

Calls

Call 1

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

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

eval23.0ms (1.4%)

Compiler: Compiled 1117 to 816 computations (26.9% saved)

prune9.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Error

Counts

70 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	34.3b	(+.f64 (/.f64 1 (-.f64 x 1)) 1)
✓	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	2.5b	(+.f64 (/.f64 1 (-.f64 x 1)) 1)
✓	2.5b	(+.f64 (/.f64 1 (-.f64 x 1)) 1)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
661×	`add-log-exp_binary64`
661×	`log1p-expm1-u_binary64`
661×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	138	10
2	1910	10

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

Outputs

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

simplify52.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-neg_binary64`
486×	`associate-/r*_binary64`
464×	`cancel-sign-sub-inv_binary64`
295×	`associate-l_binary64`
277×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	653
1	249	626
2	725	556
3	3463	549

Stop Event

1×	node limit

Counts

42 → 63

Calls

Call 1

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

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

localize7.0ms (0.5%)

Compiler: Compiled 18 to 13 computations (27.8% saved)

eval22.0ms (1.4%)

Compiler: Compiled 807 to 651 computations (19.3% saved)

prune32.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	60	6	66

Error

Counts

66 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.4b	(+.f64 1 (/.f64 1 x))
▶	61.7b	(neg.f64 x)
▶	62.6b	(*.f64 x (-.f64 -1 x))
	34.6b	1
✓	28.5b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 37 to 28 computations (24.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x (-.f64 -1 x))
1.0ms	x	@	0	(*.f64 x (-.f64 -1 x))
1.0ms	x	@	-inf	(*.f64 x (-.f64 -1 x))

rewrite56.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`pow1_binary64`
523×	`add-log-exp_binary64`
523×	`log1p-expm1-u_binary64`
523×	`expm1-log1p-u_binary64`
514×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1371	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify48.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

851×	`log-prod_binary64`
728×	`fma-neg_binary64`
452×	`fma-def_binary64`
348×	`*-commutative_binary64`
285×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	289
1	136	241
2	411	235
3	2346	233
4	6781	233

Stop Event

1×	node limit

Counts

29 → 32

Calls

Call 1

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

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

localize2.0ms (0.1%)

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

localize5.0ms (0.3%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

eval7.0ms (0.5%)

Compiler: Compiled 277 to 179 computations (35.4% saved)

prune6.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	31	7	38

Error

Counts

38 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.4b	(+.f64 1 (/.f64 1 x))
✓	61.7b	(neg.f64 x)
✓	62.6b	(*.f64 x (-.f64 -1 x))
	34.6b	1
▶	62.5b	(neg.f64 (*.f64 x x))
✓	28.5b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize3.0ms (0.2%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.4b	(+.f64 1 (/.f64 1 x))
✓	61.7b	(neg.f64 x)
✓	62.6b	(*.f64 x (-.f64 -1 x))
	34.6b	1
✓	62.5b	(neg.f64 (*.f64 x x))
✓	28.5b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes10.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

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

Compiler

Compiled 57 to 41 computations (28.1% saved)

regimes17.0ms (1.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch40.0ms (2.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.013905337608255497	26.829255332862576
24.0ms	-4270.470808229889	-1.0715683714123798e-23

Results

36.0ms

304×

body

256

valid

Compiler

Compiled 244 to 202 computations (17.2% saved)

regimes6.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
34.4b	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.3%)

Accuracy

Total -28.7b remaining (-82.8%)

Threshold costs -28.7b (-82.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
34.6b	1	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify41.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	26	48
2	27	48

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -1) 1 (if (<=.f64 x 4278419646001971/2251799813685248) (+.f64 (/.f64 1 (-.f64 x 1)) x) 1))
(+.f64 1 (/.f64 1 x))
1

Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -1) 1 (if (<=.f64 x 4278419646001971/2251799813685248) (+.f64 (/.f64 1 (-.f64 x 1)) x) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 4278419646001971/2251799813685248) (+.f64 x (/.f64 1 (+.f64 x -1))) 1))
(+.f64 1 (/.f64 1 x))
1

Compiler

Compiled 38 to 30 computations (21.1% saved)

soundness0.0ms (0%)

end64.0ms (4.1%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

Details

analyze7.0ms (0.4%)

sample875.0ms (55.4%)

preprocess16.0ms (1%)

simplify7.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize45.0ms (2.8%)

series2.0ms (0.1%)

rewrite51.0ms (3.2%)

simplify47.0ms (3%)

eval23.0ms (1.4%)

prune9.0ms (0.6%)

localize8.0ms (0.5%)

series1.0ms (0.1%)

rewrite55.0ms (3.5%)

simplify52.0ms (3.3%)

localize7.0ms (0.5%)

eval22.0ms (1.4%)

prune32.0ms (2%)

localize4.0ms (0.3%)

series2.0ms (0.1%)

rewrite56.0ms (3.6%)

simplify48.0ms (3.1%)

localize2.0ms (0.1%)

localize5.0ms (0.3%)

eval7.0ms (0.5%)

prune6.0ms (0.4%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes10.0ms (0.7%)

regimes17.0ms (1.1%)

bsearch40.0ms (2.5%)

regimes6.0ms (0.4%)

regimes5.0ms (0.3%)

simplify41.0ms (2.6%)

soundness0.0ms (0%)

end64.0ms (4.1%)

Profiling