Details

analyze7.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (47.9%)

Results

1.1s	8256×	body	256	valid
2.0ms	21×	body	256	invalid

preprocess15.0ms (0.6%)

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)

simplify104.0ms (4.5%)

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 (0.6%)

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))

rewrite146.0ms (6.4%)

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))))))))

simplify59.0ms (2.6%)

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)))))

eval34.0ms (1.5%)

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

prune7.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Error

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	1.1b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	64.0b	(neg.f64 (log.f64 -1))
▶	0.5b	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))

Compiler

Compiled 35 to 30 computations (14.3% saved)

localize4.0ms (0.2%)

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

localize53.0ms (2.3%)

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

localize8.0ms (0.4%)

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 (0.4%)

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)

rewrite56.0ms (2.4%)

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))))))

simplify172.0ms (7.5%)

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))

localize24.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) -1))
✓	0.2b	(sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
✓	0.5b	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)

Compiler

Compiled 45 to 38 computations (15.6% saved)

series34.0ms (1.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
1.0ms	x	@	inf	(sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))

rewrite70.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
735×	`add-log-exp_binary64`
733×	`log1p-expm1-u_binary64`
733×	`expm1-log1p-u_binary64`
720×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	205	29
2	2087	29

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

simplify68.0ms (3%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-neg_binary64`
617×	`fma-def_binary64`
391×	`associate-l_binary64`
353×	`associate-r_binary64`
323×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1364
1	472	1196
2	1614	1017
3	6386	983

Stop Event

1×	node limit

Counts

102 → 90

Calls

Call 1

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

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

eval86.0ms (3.8%)

Compiler: Compiled 2584 to 2023 computations (21.7% saved)

prune56.0ms (2.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	134	6	140

Error

Counts

140 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
▶	62.5b	(neg.f64 (neg.f64 x))
✓	0.4b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	1.1b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	64.0b	(neg.f64 (log.f64 -1))

Compiler

Compiled 39 to 33 computations (15.4% saved)

localize9.0ms (0.4%)

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

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
✓	62.5b	(neg.f64 (neg.f64 x))
✓	0.4b	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	1.1b	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.0b	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	64.0b	(neg.f64 (log.f64 -1))

Compiler

Compiled 39 to 33 computations (15.4% saved)

regimes57.0ms (2.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
11.0ms	(/.f64 1 x)
11.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
10.0ms	(-.f64 (/.f64 1 x) 1)
9.0ms	x

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 61 to 48 computations (21.3% saved)

regimes10.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes11.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.4%)

Accuracy

Total -1.5b remaining (-2.3%)

Threshold costs -1.5b (-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
62.5b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`
7×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	30
1	36	26
2	65	26
3	88	26
4	96	26

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

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

soundness0.0ms (0%)

end55.0ms (2.4%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

Details

analyze7.0ms (0.3%)

sample1.1s (47.9%)

preprocess15.0ms (0.6%)

simplify104.0ms (4.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.6%)

series2.0ms (0.1%)

rewrite146.0ms (6.4%)

simplify59.0ms (2.6%)

eval34.0ms (1.5%)

prune7.0ms (0.3%)

localize4.0ms (0.2%)

localize53.0ms (2.3%)

localize8.0ms (0.4%)

series9.0ms (0.4%)

rewrite56.0ms (2.4%)

simplify172.0ms (7.5%)

localize24.0ms (1.1%)

series34.0ms (1.5%)

rewrite70.0ms (3.1%)

simplify68.0ms (3%)

eval86.0ms (3.8%)

prune56.0ms (2.5%)

localize9.0ms (0.4%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes57.0ms (2.5%)

regimes10.0ms (0.4%)

regimes11.0ms (0.5%)

regimes8.0ms (0.4%)

simplify9.0ms (0.4%)

soundness0.0ms (0%)

end55.0ms (2.4%)

Profiling