Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample934.0ms (64.7%)

Results

921.0ms	8256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 18 to 16 computations (11.1% saved)

preprocess57.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	27	11
6	32	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64`
3×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	19	11
4	23	11
5	27	11
6	32	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

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

prune2.0ms (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

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`pow1_binary64`
544×	`add-log-exp_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
533×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	126	9
2	1578	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify25.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

411×	`fma-def_binary64`
337×	`sub-neg_binary64`
280×	`distribute-rgt-neg-in_binary64`
246×	`distribute-lft-neg-in_binary64`
193×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	166
1	96	164
2	273	164
3	924	159
4	3092	159

Stop Event

1×	node limit

Counts

32 → 35

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(neg.f64 (+.f64 (log.f64 x) x))
(neg.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(neg.f64 (+.f64 (log.f64 x) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))

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

prune24.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	0.0b	(neg.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))

Compiler

Compiled 446 to 369 computations (17.3% saved)

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.4%)

Counts

2 → 16

Calls

6 calls:

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

rewrite44.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
677×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	160	20
2	1877	20

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 1/4) (pow.f64 (+.f64 (/.f64 1 x) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -3))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x -2) 1) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)) (sqrt.f64 (+.f64 (/.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 x) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 1/4)) (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 1/4)) (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))))))

simplify35.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg_binary64`
370×	`times-frac_binary64`
275×	`unswap-sqr_binary64`
261×	`associate-/l/_binary64`
224×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	418
1	153	322
2	474	310
3	1468	310
4	4413	310

Stop Event

1×	node limit

Counts

62 → 60

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (sqrt.f64 -1) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (sqrt.f64 -1) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))

Outputs
(sqrt.f64 -1)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (-.f64 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (/.f64 1/8 (.f64 (.f64 (.f64 x x) (sqrt.f64 -1)) -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (/.f64 1/8 (.f64 x (*.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (sqrt.f64 -1) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) x))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3))) (/.f64 1/8 (.f64 (.f64 (*.f64 x x) (sqrt.f64 -1)) -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3))) (/.f64 1/8 (.f64 x (.f64 (sqrt.f64 -1) x))))))
(sqrt.f64 -1)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (-.f64 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (/.f64 1/8 (.f64 (.f64 (.f64 x x) (sqrt.f64 -1)) -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (/.f64 1/8 (.f64 x (*.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (+.f64 (sqrt.f64 -1) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (.f64 (sqrt.f64 -1) x))) (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3))) (/.f64 1/8 (.f64 (.f64 (*.f64 x x) (sqrt.f64 -1)) -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3))) (/.f64 1/8 (.f64 x (.f64 (sqrt.f64 -1) x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/4 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 -1/2 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 -1/2 x) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) (/.f64 1/4 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 (/.f64 -1/4 x) x))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (/.f64 (/.f64 -1/4 x) x)))
(log.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (log.f64 (sqrt.f64 -1))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/4 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 -1/2 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 -1/2 x) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 x 3)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))
(+.f64 (/.f64 1/2 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 6)))) (/.f64 1/4 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 (/.f64 -1/4 x) x))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/6 (pow.f64 x 3)) (/.f64 (/.f64 -1/4 x) x)))

prune116.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Error

Counts

122 → 2

Alt Table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.0b	(neg.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1)))))

Compiler

Compiled 2718 to 2416 computations (11.1% saved)

regimes49.0ms (3.4%)

Accuracy

Total 0.0b remaining (4.9%)

Threshold costs 0.0b (4.9%)

Counts

10 → 1

Compiler

Compiled 122 to 99 computations (18.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	17	11
3	18	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

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

end51.0ms (3.5%)

Stop Event

1×

done

Compiler

Compiled 41 to 36 computations (12.2% saved)

Details

analyze4.0ms (0.3%)

sample934.0ms (64.7%)

preprocess57.0ms (3.9%)

simplify6.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite75.0ms (5.2%)

simplify25.0ms (1.7%)

prune24.0ms (1.7%)

localize8.0ms (0.6%)

series6.0ms (0.4%)

rewrite44.0ms (3%)

simplify35.0ms (2.4%)

prune116.0ms (8%)

regimes49.0ms (3.4%)

simplify2.0ms (0.1%)

end51.0ms (3.5%)

Profiling