Details

analyze6.0ms (0.3%)

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)

sample823.0ms (47.7%)

Results

809.0ms

8256×

body

256

valid

preprocess16.0ms (0.9%)

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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 9 computations (25% saved)

localize14.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`fma-def_binary64`
464×	`log-prod_binary64`
365×	`pow-prod-down_binary64`
250×	`pow2_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	193	23
2	3157	23

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

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

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

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

simplify53.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-def_binary64`
558×	`distribute-rgt-out_binary64`
467×	`unswap-sqr_binary64`
364×	`associate-l_binary64`
304×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	306
1	144	295
2	381	289
3	1124	286
4	4846	285

Stop Event

1×	node limit

Counts

152 → 155

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
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))))

Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 x (*.f64 -2 x) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (.f64 -2 (+.f64 (.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (.f64 x x) (.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x 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))
(fma.f64 (*.f64 x x) (+.f64 -1 x) x)
(fma.f64 x (-.f64 (*.f64 x x) x) 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 x (pow.f64 x 3)) (neg.f64 (fma.f64 x x (pow.f64 x 4))))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(.f64 (fma.f64 x x 1) (-.f64 x (.f64 x x)))
(*.f64 (-.f64 1 x) (+.f64 x (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 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.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 (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1 x) 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 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.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 (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))))

eval57.0ms (3.3%)

Compiler: Compiled 2688 to 2015 computations (25% saved)

prune21.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	5	156

Error

Counts

156 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	1
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	29.8b	-1
▶	0.1b	(+.f64 (/.f64 1 (-.f64 x 1)) (*.f64 (/.f64 1 (+.f64 1 x)) x))
▶	33.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (*.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 2 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 2 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 2 (*.f64 x x))

rewrite44.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
479×	`add-sqr-sqrt_binary64`
458×	`add-log-exp_binary64`
458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1297	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(/.f64 2 (*.f64 x x))

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

Outputs

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

simplify160.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-/r*_binary64`
1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	84
1	10	84
2	19	84
3	34	84
4	74	84
5	222	84
6	831	84
7	2040	84
8	2206	84
9	2390	84
10	2598	84
11	2897	84
12	3290	84
13	3773	84
14	4339	84
15	5025	84
16	5864	84
17	6256	84
18	6542	84
19	6816	84
20	6888	84
21	6922	84

Stop Event

1×	node limit

Counts

33 → 23

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))

Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))

localize17.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 1 x))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (*.f64 (/.f64 1 (+.f64 1 x)) x))
✓	0.1b	(*.f64 (/.f64 1 (+.f64 1 x)) x)

Compiler

Compiled 39 to 29 computations (25.6% saved)

series3.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
436×	`fma-def_binary64`
351×	`pow-prod-down_binary64`
264×	`pow2_binary64`
227×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	211	30
2	3143	30

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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

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

simplify61.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

559×	`distribute-rgt-out_binary64`
467×	`unswap-sqr_binary64`
410×	`sub-neg_binary64`
389×	`associate-l_binary64`
327×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	482
1	180	466
2	490	456
3	1433	453
4	5032	449

Stop Event

1×	node limit

Counts

181 → 185

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))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))

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))
(fma.f64 x (neg.f64 x) 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 (-.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 x (pow.f64 x 3)) (neg.f64 (fma.f64 x x (pow.f64 x 4))))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(.f64 (fma.f64 x x 1) (.f64 x (-.f64 1 x)))
(*.f64 (-.f64 1 x) (+.f64 x (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 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.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 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (-.f64 1 (/.f64 1 x)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1 x) 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 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(-.f64 1 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.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 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (-.f64 1 (/.f64 1 x)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (.f64 -2 (+.f64 (.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (.f64 x x) (.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(fma.f64 -2 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 (*.f64 x x) (-.f64 1 x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3))
(-.f64 1 (*.f64 x (-.f64 (fma.f64 x x 1) x)))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x))))

eval74.0ms (4.3%)

Compiler: Compiled 3384 to 2570 computations (24.1% saved)

prune29.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	208	5	213

Error

Counts

213 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	1
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	29.8b	-1
✓	0.1b	(+.f64 (/.f64 1 (-.f64 x 1)) (*.f64 (/.f64 1 (+.f64 1 x)) x))
✓	33.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 38 to 30 computations (21.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	1
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	29.8b	-1
✓	0.1b	(+.f64 (/.f64 1 (-.f64 x 1)) (*.f64 (/.f64 1 (+.f64 1 x)) x))
✓	33.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 38 to 30 computations (21.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	1
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
	29.8b	-1
✓	0.1b	(+.f64 (/.f64 1 (-.f64 x 1)) (*.f64 (/.f64 1 (+.f64 1 x)) x))
✓	33.7b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes10.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

Inputs
1
-1
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (-.f64 x 1)) (*.f64 (/.f64 1 (+.f64 1 x)) x))

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

Calls

2 calls:

6.0ms	x
2.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))`

Compiler

Compiled 48 to 36 computations (25% saved)

regimes13.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

Inputs
1
-1
(+.f64 1 (/.f64 2 (*.f64 x x)))

Outputs
(+.f64 1 (/.f64 2 (*.f64 x x)))
-1
1

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.1b	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	9.680861912954761e-15	1786629748878947.5
20.0ms	-104.35134519839956	-7.986200680875392e-18

Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.6%)

Accuracy

Total -62.7b remaining (-21892.5%)

Threshold costs -62.7b (-21892.5%)

Counts

2 → 3

Calls

Call 1

Inputs
1
-1

Outputs
1
-1
1

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch37.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	9.680861912954761e-15	1786629748878947.5
18.0ms	-104.35134519839956	-7.986200680875392e-18

Compiler

Compiled 16 to 12 computations (25% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	28	56
2	29	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -7343073114861285/70368744177664) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) -1 1))
(if (<=.f64 x -7343073114861285/70368744177664) 1 (if (<=.f64 x 3067987603670927/316912650057057350374175801344) -1 1))
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 -7343073114861285/70368744177664) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 3067987603670927/316912650057057350374175801344) -1 1))
(if (<=.f64 x -7343073114861285/70368744177664) 1 (if (<=.f64 x 3067987603670927/316912650057057350374175801344) -1 1))
1

Compiler

Compiled 44 to 35 computations (20.5% saved)

soundness0.0ms (0%)

end37.0ms (2.2%)

Compiler: Compiled 41 to 32 computations (22% saved)

Details

analyze6.0ms (0.3%)

sample823.0ms (47.7%)

preprocess16.0ms (0.9%)

simplify7.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize14.0ms (0.8%)

series3.0ms (0.2%)

rewrite90.0ms (5.2%)

simplify53.0ms (3.1%)

eval57.0ms (3.3%)

prune21.0ms (1.2%)

localize8.0ms (0.5%)

series2.0ms (0.1%)

rewrite44.0ms (2.5%)

simplify160.0ms (9.3%)

localize17.0ms (1%)

series3.0ms (0.2%)

rewrite77.0ms (4.4%)

simplify61.0ms (3.5%)

eval74.0ms (4.3%)

prune29.0ms (1.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.6%)

regimes13.0ms (0.7%)

bsearch40.0ms (2.3%)

regimes11.0ms (0.6%)

bsearch37.0ms (2.1%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

end37.0ms (2.2%)

Profiling