Details

analyze9.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample877.0ms (50.1%)

Results

858.0ms	8251×	body	64	valid
2.0ms	25×	body	64	invalid
1.0ms	5×	body	128	valid

preprocess14.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 (/.f64 1 x) -1))

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
607×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
596×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1656	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 -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 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log.f64 (+.f64 (/.f64 1 x) 1)))))) (#(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 exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 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 -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 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log.f64 (+.f64 (/.f64 1 x) 1)))))) (#(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 exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))))))

simplify26.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-def_binary64`
721×	`fma-neg_binary64`
552×	`cancel-sign-sub-inv_binary64`
502×	`associate-l_binary64`
374×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	167
1	93	164
2	232	164
3	671	160
4	2217	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 -1/2 (.f64 x x)) (+.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)) (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 (/.f64 -1 x) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)))
(-.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 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -1 x)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))
(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 (/.f64 -1 x) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 -1)))
(-.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 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (-.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1 x))
(+.f64 (/.f64 -1 x) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -1 x)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))

prune105.0ms (6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

36 → 2

Alt Table

Status	Error	Program
▶	0.1b	(neg.f64 (+.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))))))
✓	0.2b	(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))

Compiler

Compiled 467 to 385 computations (17.6% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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)))))
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.0b	(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 (log.f64 x))))
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

series38.0ms (2.2%)

Counts

4 → 21

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))
2.0ms	x	@	0	(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 (log.f64 x))))
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	-inf	(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 (log.f64 x))))

rewrite92.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
540×	`fma-neg_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`
210×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	384	47
2	5240	47

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))
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(log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x))) (.f64 x (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x -1/2)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)))) (.f64 x (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x -1/2))) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)))) (sqrt.f64 (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)))) (.f64 x (.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)) (fma.f64 x (.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)) (fma.f64 x (.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)) (fma.f64 x (.f64 x -1/2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)) (fma.f64 x (.f64 x -1/2) x))))))))

simplify45.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

540×	`fma-def_binary64`
520×	`distribute-rgt-neg-in_binary64`
434×	`distribute-neg-in_binary64`
381×	`unswap-sqr_binary64`
381×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	280
1	105	255
2	287	249
3	954	235
4	3390	235
5	5454	235

Stop Event

1×	node limit

Counts

185 → 183

Calls

Call 1

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

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

prune424.0ms (24.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	183	2	185

Error

Counts

185 → 2

Alt Table

Status	Error	Program
✓	0.1b	(neg.f64 (+.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))))))
✓	0.2b	(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))

Compiler

Compiled 4421 to 3143 computations (28.9% saved)

regimes25.0ms (1.4%)

Accuracy

Total -0.2b remaining (-189.9%)

Threshold costs -0.2b (-189.9%)

Counts

3 → 1

Calls

Call 1

Inputs

(neg.f64 (+.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))))))

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

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

Outputs
(neg.f64 (+.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))))))

Results

4.0ms	0.1b	`x`
4.0ms	0.1b	`(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))`
4.0ms	0.1b	`(log.f64 (-.f64 (/.f64 1 x) 1))`
4.0ms	0.1b	`(-.f64 (/.f64 1 x) 1)`
4.0ms	0.1b	`(/.f64 1 x)`
4.0ms	0.1b	`(/.f64 1 x)`

Compiler

Compiled 67 to 55 computations (17.9% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`distribute-neg-in_binary64`
12×	`+-commutative_binary64`
11×	`*-commutative_binary64`
11×	`neg-sub0_binary64`
10×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	30
1	33	24
2	56	24
3	84	24
4	124	24
5	140	24
6	143	24
7	144	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (+.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))))))

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

end19.0ms (1.1%)

Stop Event

1×

done

Compiler

Compiled 34 to 26 computations (23.5% saved)

Details

analyze9.0ms (0.5%)

sample877.0ms (50.1%)

preprocess14.0ms (0.8%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite43.0ms (2.5%)

simplify26.0ms (1.5%)

prune105.0ms (6%)

localize13.0ms (0.7%)

series38.0ms (2.2%)

rewrite92.0ms (5.3%)

simplify45.0ms (2.6%)

prune424.0ms (24.2%)

regimes25.0ms (1.4%)

simplify3.0ms (0.2%)

end19.0ms (1.1%)

Profiling