Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (30.3%)

Results

1.0s	8256×	body	256	valid
3.0ms	19×	body	256	invalid

Bogosity

preprocess18.0ms (0.5%)

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 9 to 8 computations (11.1% saved)

simplify6.0ms (0.2%)

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)))

eval1.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 19 computations (20.8% saved)

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))

rewrite49.0ms (1.4%)

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	1581	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 (+.f64 (pow.f64 x -2) 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 (+.f64 (pow.f64 x -2) 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))))))))

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
721×	`fma-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
514×	`associate-l_binary64`
394×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	167
1	93	164
2	232	164
3	672	160
4	2250	159

Stop Event

1×	node limit

Counts

32 → 35

Calls

Call 1

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

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

eval28.0ms (0.8%)

Compiler: Compiled 413 to 340 computations (17.7% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Error

Counts

36 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	30.5b	(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
▶	1.6b	(neg.f64 (neg.f64 (log.f64 x)))
▶	1.2b	(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3))
▶	64.0b	(neg.f64 (log.f64 -1))
▶	0.9b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Compiler

Compiled 88 to 75 computations (14.8% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 5 computations (72.2% saved)

series9.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(-.f64 (neg.f64 (log.f64 x)) x)
3.0ms	x	@	-inf	(-.f64 (neg.f64 (log.f64 x)) x)
1.0ms	x	@	inf	(-.f64 (neg.f64 (log.f64 x)) x)

rewrite126.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`pow1_binary64`
506×	`add-log-exp_binary64`
505×	`log1p-expm1-u_binary64`
505×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	113	6
2	1650	6

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify186.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1806×	`fma-neg_binary64`
1001×	`distribute-rgt-in_binary64`
889×	`fma-def_binary64`
726×	`distribute-lft-in_binary64`
275×	`associate--l-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	47	83
2	100	83
3	226	83
4	518	83
5	1301	83
6	2722	83
7	3487	83
8	3706	83
9	4165	83
10	4724	83
11	4821	83
12	5769	83
13	6071	83
14	6087	83
15	6123	83
16	6403	83
17	7285	83

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize6.0ms (0.2%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize56.0ms (1.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) -1))
✓	0.5b	(cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
✓	0.7b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)

Compiler

Compiled 45 to 38 computations (15.6% saved)

series17.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
1.0ms	x	@	0	(cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
1.0ms	x	@	inf	(cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))

rewrite104.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
765×	`add-log-exp_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
749×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	207	29
2	2140	29

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(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)) (log.f64 (+.f64 (/.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) (*.f64 (cbrt.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 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)))))) (#(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 *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) 3) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) 1) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6)) (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6))))) (#(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 log.f64 (+.f64 (/.f64 1 x) -1))))) (#(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))))))))

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

((#(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)) (log.f64 (+.f64 (/.f64 1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) (*.f64 (cbrt.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 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)))))) (#(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 *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) 3) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) 1) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6)) (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1/6))))) (#(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 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) 3/2)))) (#(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 (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))))))))

simplify183.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-neg_binary64`
436×	`+-commutative_binary64`
412×	`times-frac_binary64`
335×	`associate-/r*_binary64`
334×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	3974
1	985	3742
2	3865	3711
3	7660	3711

Stop Event

1×	node limit

Counts

107 → 99

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 1/3 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 8)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 1/3 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))))) (cbrt.f64 -1))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)))))
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x)))))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 -1)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 2)))) (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -2/3 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 2))))))))
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -2/3 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 2)))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (/.f64 (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)) (+.f64 1/3 (.f64 2/3 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9))))) (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -2/3 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 2/9 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 8)) 1/9))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)) (+.f64 1/3 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2)))))))) (pow.f64 x 3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (.f64 (pow.f64 1 1/3) (log.f64 -1)))))))))))
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) x)) (.f64 (pow.f64 1 1/3) (log.f64 -1)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) x)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 -1)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 2)))) (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -2/3 (.f64 (+.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 2)))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (.f64 -2/3 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)))))) (+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 8)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/3) (-.f64 1/3 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2)))))))) (pow.f64 (.f64 1 (log.f64 -1)) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -2/3 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) x)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 -1)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2) (pow.f64 x 2)))) (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -2/3 (.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 (/.f64 1 (log.f64 -1)) 1/3)))) (pow.f64 x 2))))))))
(.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 1/3 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)))))
(pow.f64 (log.f64 -1) 1/3)
(+.f64 (pow.f64 (log.f64 -1) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 1 x))))
(+.f64 (pow.f64 (log.f64 -1) 1/3) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 1 x)))))
(+.f64 (pow.f64 (log.f64 -1) 1/3) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 1 x))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3) (/.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)) (+.f64 1/3 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (+.f64 (*.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2))))) (pow.f64 x 3)))))))
(pow.f64 (log.f64 -1) 1/3)
(+.f64 (pow.f64 (log.f64 -1) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 1 x))))
(+.f64 (pow.f64 (log.f64 -1) 1/3) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 1 x)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/9) (+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9)) 1/2))))) (pow.f64 x 3)))) (+.f64 (pow.f64 (log.f64 -1) 1/3) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 1 x))))))
(*.f64 -1 (log.f64 x))
(+.f64 (.f64 -1 x) (.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))))
(fma.f64 (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) -1) x (neg.f64 (log.f64 x)))
(-.f64 (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (neg.f64 x)) (log.f64 x))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (.f64 -1 (cbrt.f64 -1)))) (neg.f64 x)) (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2))))
(fma.f64 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) -1) x (fma.f64 -1 (log.f64 x) (.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (+.f64 (.f64 -1/3 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 -1) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))))))) (.f64 x x))))
(fma.f64 x (.f64 -1 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (fma.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (cbrt.f64 -1) (.f64 (cbrt.f64 (log.f64 x)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))))))))) (.f64 x x) (neg.f64 (log.f64 x))))
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(fma.f64 x (neg.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (.f64 -1 (cbrt.f64 -1))))) (-.f64 (.f64 (.f64 x x) (+.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))))) (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x)))))) (.f64 (fma.f64 -1/3 (fma.f64 -1/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) 1/3)) (fma.f64 -1/3 (.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 2/9 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1)) (fma.f64 -1/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) 1/3))) (.f64 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))))))) x))) (log.f64 x)))
(fma.f64 x (neg.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (.f64 -1 (cbrt.f64 -1))))) (fma.f64 (.f64 x x) (+.f64 (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/3 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))))) (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x)))))) (.f64 x (fma.f64 -1/3 (fma.f64 -1/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) 1/3)) (fma.f64 -1/3 (.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))))))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 2/9 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1)) (fma.f64 -1/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) 1/3))) (.f64 (.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18)))) (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))))))))) (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(log.f64 -1)
(+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x)))))
(fma.f64 -2/3 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) (/.f64 1 x)) (+.f64 (log.f64 -1) (.f64 -1/3 (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) (/.f64 1 x)))))
(-.f64 (log.f64 -1) (/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x))
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(+.f64 (cbrt.f64 (log.f64 -1)) (fma.f64 -1/3 (.f64 (/.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) 1/2) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)))) (.f64 -1/3 (+.f64 (.f64 (/.f64 1 x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/18))) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (+.f64 1/3 (.f64 (.f64 2/3 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/18)))))) (pow.f64 x 3))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (/.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (fma.f64 2/3 (.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) 1/2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/18))) 1/3)) (pow.f64 x 3))) (fma.f64 -1/3 (fma.f64 (/.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) 1/2) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/18)) x)) (cbrt.f64 (log.f64 -1))))
(+.f64 (cbrt.f64 (log.f64 -1)) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/18)) (/.f64 -1/3 x)) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)))) (+.f64 (/.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) 1/2) (.f64 x x)) (/.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (fma.f64 (.f64 2/3 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 5)) 1/18)) 1/3)) (pow.f64 x 3))))))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 -1 x) (.f64 -1 (log.f64 x)))
(*.f64 -1 (+.f64 x (log.f64 x)))
(-.f64 (neg.f64 x) (log.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (.f64 x x) (.f64 -1 (+.f64 x (log.f64 x))))
(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) (log.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) (+.f64 x (log.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1 (log.f64 x)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(fma.f64 (.f64 x x) -1/2 (-.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) (log.f64 x)) x))
(fma.f64 (.f64 x x) -1/2 (-.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (log.f64 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 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 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 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))))

localize106.0ms (3.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 1 x))
✓	0.0b	(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
✓	29.5b	(log.f64 (+.f64 (pow.f64 x -2) -1))

Compiler

Compiled 49 to 39 computations (20.4% saved)

series7.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 (pow.f64 x -2) -1))
1.0ms	x	@	inf	(log.f64 (+.f64 (pow.f64 x -2) -1))
1.0ms	x	@	-inf	(log.f64 (+.f64 (pow.f64 x -2) -1))
1.0ms	x	@	0	(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
1.0ms	x	@	inf	(log1p.f64 (/.f64 1 x))

rewrite157.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`prod-diff_binary64`
453×	`log-prod_binary64`
278×	`pow2_binary64`
274×	`pow-prod-down_binary64`
239×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	234	32
2	2873	32

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs
(log.f64 (+.f64 (pow.f64 x -2) -1))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(log1p.f64 (/.f64 1 x))

Outputs

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

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

simplify86.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-neg_binary64`
487×	`associate-+l-_binary64`
480×	`associate-l_binary64`
393×	`associate--l+_binary64`
335×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	567
1	217	546
2	633	543
3	2385	542

Stop Event

1×	node limit

Counts

195 → 201

Calls

Call 1

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

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

eval418.0ms (12.2%)

Compiler: Compiled 10121 to 8625 computations (14.8% saved)

prune48.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	343	2	345
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	346	5	351

Error

Counts

351 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	30.5b	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))))
✓	0.9b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	1.6b	(neg.f64 (neg.f64 (log.f64 x)))
▶	62.6b	(neg.f64 (neg.f64 x))

Compiler

Compiled 38 to 31 computations (18.4% saved)

localize27.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 1 x))
✓	0.0b	(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))))
✓	28.6b	(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))

Compiler

Compiled 57 to 46 computations (19.3% saved)

series4.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
1.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))
0.0ms	x	@	0	(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))))
0.0ms	x	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))))

rewrite83.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`log-prod_binary64`
405×	`prod-diff_binary64`
283×	`pow-prod-down_binary64`
283×	`pow2_binary64`
253×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	243	40
2	3124	40

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs

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

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
721×	`fma-neg_binary64`
556×	`cancel-sign-sub-inv_binary64`
514×	`associate-l_binary64`
392×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	242
1	96	239
2	235	239
3	674	235
4	2254	234

Stop Event

1×	node limit

Counts

197 → 190

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

eval134.0ms (3.9%)

Compiler: Compiled 4013 to 3431 computations (14.5% saved)

prune205.0ms (6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	190	5	195

Error

Counts

195 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	30.5b	(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x)))))
✓	0.9b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	1.6b	(neg.f64 (neg.f64 (log.f64 x)))
✓	62.6b	(neg.f64 (neg.f64 x))

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes65.0ms (1.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	(/.f64 1 x)
13.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
11.0ms	x
11.0ms	(-.f64 (/.f64 1 x) 1)
11.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Results

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

Compiler

Compiled 86 to 69 computations (19.8% saved)

regimes9.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.9b	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes10.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(neg.f64 (neg.f64 (log.f64 x)))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.6b	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.2%)

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(neg.f64 (neg.f64 x))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
62.6b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`distribute-rgt-neg-in_binary64`
7×	`cancel-sign-sub-inv_binary64`
7×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	32	21
2	59	21
3	81	21
4	89	21

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

end65.0ms (1.9%)

Compiler: Compiled 15 to 9 computations (40% saved)

Details

analyze4.0ms (0.1%)

sample1.0s (30.3%)

preprocess18.0ms (0.5%)

simplify6.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.4%)

series2.0ms (0.1%)

rewrite49.0ms (1.4%)

simplify45.0ms (1.3%)

eval28.0ms (0.8%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

series9.0ms (0.3%)

rewrite126.0ms (3.7%)

simplify186.0ms (5.4%)

localize4.0ms (0.1%)

localize6.0ms (0.2%)

localize56.0ms (1.6%)

series17.0ms (0.5%)

rewrite104.0ms (3.1%)

simplify183.0ms (5.4%)

localize106.0ms (3.1%)

series7.0ms (0.2%)

rewrite157.0ms (4.6%)

simplify86.0ms (2.5%)

eval418.0ms (12.2%)

prune48.0ms (1.4%)

localize27.0ms (0.8%)

series4.0ms (0.1%)

rewrite83.0ms (2.4%)

simplify56.0ms (1.6%)

localize3.0ms (0.1%)

eval134.0ms (3.9%)

prune205.0ms (6%)

regimes65.0ms (1.9%)

regimes9.0ms (0.3%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end65.0ms (1.9%)

Profiling