Details

analyze3.0ms (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
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample549.0ms (30.3%)

Results

537.0ms	8256×	body	256	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess13.0ms (0.7%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f64 x)

Outputs
(atanh.f64 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify79.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
380×	`fma-neg_binary64`
251×	`times-frac_binary64`
239×	`div-sub_binary64`
176×	`associate-/l*_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	29	15
3	46	15
4	63	15
5	86	15
6	139	15
7	238	13
8	382	13
9	525	13
10	653	13
11	846	13
12	1118	13
13	1913	13
14	2897	13
15	3520	13
16	3552	13
17	3584	13
18	3620	13
19	3620	13

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(.f64 1/2 (log1p.f64 (.f64 (/.f64 x (-.f64 1 x)) 2)))
(.f64 1/2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 -1/2 x 1/2))))
(*.f64 1/2 (log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2))))

eval2.0ms (0.1%)

Compiler: Compiled 79 to 63 computations (20.3% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	6	3	9

Error

0.0b

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize14.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
✓	0.0b	(/.f64 (-.f64 1 x) x)
✓	0.2b	(/.f64 2 (/.f64 (-.f64 1 x) x))

Compiler

Compiled 38 to 28 computations (26.3% saved)

series5.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
1.0ms	x	@	inf	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 x) x)
1.0ms	x	@	0	(/.f64 2 (/.f64 (-.f64 1 x) x))
0.0ms	x	@	inf	(/.f64 2 (/.f64 (-.f64 1 x) x))

rewrite54.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
879×	`add-log-exp_binary64`
878×	`expm1-log1p-u_binary64`
877×	`log1p-expm1-u_binary64`
862×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	178	29
2	2387	29

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(/.f64 2 (/.f64 (-.f64 1 x) x))
(/.f64 (-.f64 1 x) x)
(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))

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

Outputs

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

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

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

simplify43.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary64`
514×	`unswap-sqr_binary64`
466×	`associate-/r*_binary64`
433×	`times-frac_binary64`
324×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1343
1	518	1207
2	1956	1079

Stop Event

1×	node limit

Counts

110 → 129

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(/.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 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 (-.f64 1 x)) x)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) 1) x)
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(pow.f64 (*.f64 (/.f64 (-.f64 1 x) x) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (-.f64 1 x) x) 2)))
(log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (/.f64 1 x) -1)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) x)) 1)
(*.f64 1 (/.f64 (-.f64 1 x) x))
(*.f64 (-.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) x) 1)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) x)))
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x)) (sqrt.f64 (/.f64 (-.f64 1 x) x)))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (-.f64 1 x) x) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x)) 2)
(pow.f64 (/.f64 x (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) x)))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1)
(.f64 1 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (+.f64 (.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (pow.f64 x 3) x)))
(.f64 2 (+.f64 (.f64 x x) (+.f64 x (pow.f64 x 3))))
(.f64 2 (+.f64 x (.f64 x (fma.f64 x x x))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 (pow.f64 x 3) (.f64 2 (+.f64 x (pow.f64 x 4)))))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4))))
(*.f64 2 (+.f64 (fma.f64 x x (+.f64 x (pow.f64 x 3))) (pow.f64 x 4)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(+.f64 -2 (neg.f64 (/.f64 2 x)))
(+.f64 -2 (/.f64 -2 x))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -2 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
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(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 3)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 2)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) -1)
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))

localize14.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 2 x) (-.f64 1 x))
✓	0.0b	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	0	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	0	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))

rewrite51.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
854×	`add-log-exp_binary64`
853×	`expm1-log1p-u_binary64`
852×	`log1p-expm1-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	170	22
2	2249	22

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))

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

Outputs

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

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

simplify42.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
580×	`associate-/l*_binary64`
407×	`associate-*l/_binary64`
356×	`unswap-sqr_binary64`
341×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1365
1	525	1208
2	1902	1061

Stop Event

1×	node limit

Counts

82 → 116

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 1)
(.f64 1 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(log.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))))
(-.f64 (+.f64 1 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 1 (/.f64 (-.f64 1 x) x)))
(.f64 2 (.f64 x (/.f64 1 (-.f64 1 x))))
(.f64 x (.f64 2 (/.f64 1 (-.f64 1 x))))
(.f64 (.f64 2 x) (/.f64 1 (-.f64 1 x)))
(.f64 1 (.f64 (/.f64 2 (-.f64 1 x)) x))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) 2) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 (cbrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (sqrt.f64 (.f64 (/.f64 2 (-.f64 1 x)) x)) (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (sqrt.f64 (.f64 2 x)) (.f64 (sqrt.f64 (.f64 2 x)) (/.f64 1 (-.f64 1 x))))
(.f64 (.f64 x -2) (/.f64 1 (neg.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (-.f64 1 x)) (.f64 2 x))
(*.f64 (/.f64 x 1) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) 1) (/.f64 (sqrt.f64 (*.f64 2 x)) (-.f64 1 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 2 (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (.f64 2 x) (cbrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 2 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 2 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (/.f64 2 (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (*.f64 2 x)) (sqrt.f64 (-.f64 1 x))))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)) 2)
(pow.f64 (*.f64 1/2 (/.f64 (-.f64 1 x) x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3)))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3)))))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (.f64 x x) (.f64 2 (+.f64 (pow.f64 x 3) x)))
(.f64 2 (+.f64 (+.f64 x (pow.f64 x 3)) (.f64 x x)))
(.f64 2 (+.f64 x (.f64 x (fma.f64 x x x))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
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eval128.0ms (7.1%)

Compiler: Compiled 3662 to 2971 computations (18.9% saved)

prune66.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	242	3	245
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	243	4	247

Error

Counts

247 → 4

Alt Table

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Status	Error	Program
▶	1.5b	(.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 3))
▶	0.3b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	0.4b	(.f64 1/2 (.f64 2 x))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize5.0ms (0.3%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize33.0ms (1.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 x 3))

rewrite72.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
498×	`add-sqr-sqrt_binary64`
476×	`add-log-exp_binary64`
476×	`log1p-expm1-u_binary64`
476×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1323	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))

Outputs

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

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1129×	`log-prod_binary64`
473×	`exp-sum_binary64`
411×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`
330×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	143
1	96	110
2	309	77
3	1859	77
4	5974	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))

localize44.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 2 (-.f64 1 x)) x)
✓	0.0b	(/.f64 2 (-.f64 1 x))
✓	0.6b	(cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
✓	0.7b	(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)

Compiler

Compiled 62 to 49 computations (21% saved)

series10.0ms (0.6%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
1.0ms	x	@	inf	(cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
0.0ms	x	@	-inf	(cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))

rewrite65.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`log-prod_binary64`
427×	`prod-diff_binary64`
332×	`exp-prod_binary64`
306×	`prod-exp_binary64`
254×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	237	43
2	2596	43

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x))) 3)
(cbrt.f64 (log1p.f64 (*.f64 (/.f64 2 (-.f64 1 x)) x)))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 2 (-.f64 1 x)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))) (log.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 2) (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 2))) (log.f64 (-.f64 1 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2) (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) (sqrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1/6) (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 5/6) (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2) 1) (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1/3) (.f64 2/3 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 1) (.f64 2/3 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (.f64 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 3/2) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 3/2) (.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1/6) (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 x (-.f64 1/2 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(-.f64 1/2 (/.f64 x 2)))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 (.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1/2 (/.f64 x 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 2 (-.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 1/2 (/.f64 x 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 x) (.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 1/2 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 x)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 x) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 x) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -2) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 x) 1) (log.f64 (-.f64 1/2 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 2 x)) (.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 (/.f64 2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)))))

simplify127.0ms (7%)

Algorithm

1×	egg-herbie

Rules

426×	`times-frac_binary64`
304×	`fma-def_binary64`
303×	`log-prod_binary64`
282×	`fma-neg_binary64`
274×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	4294971440
1	1392	3875
2	4518	3857

Stop Event

1×	node limit

Counts

196 → 298

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(+.f64 (.f64 4/3 (.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 2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x)))))
(+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -8/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) (pow.f64 x 2))) (+.f64 (.f64 4/3 (.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 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))))))))
(+.f64 (.f64 -16/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3) (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 2/3 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (.f64 8/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)))) (pow.f64 x 3)))) (+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (/.f64 (+.f64 (.f64 -16/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 -1)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/3) (-.f64 2/3 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (.f64 8/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (.f64 1 (log.f64 -1)) 1/3)) (+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -8/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) (pow.f64 x 2))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -8/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 -1)) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))))))))))))
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/3 (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)))
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2
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-2
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(.f64 (cbrt.f64 (.f64 4 (pow.f64 (-.f64 1 x) -2))) (cbrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (/.f64 2 (-.f64 1 x))))
(*.f64 -2 (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) 2)
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(.f64 (/.f64 2 (-.f64 1 (.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 2 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 2 (-.f64 1 x))))
(pow.f64 (*.f64 4 (pow.f64 (-.f64 1 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 2)
(pow.f64 (-.f64 1/2 (/.f64 x 2)) -1)
(pow.f64 (/.f64 (-.f64 1/2 (/.f64 x 2)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 2 (-.f64 1 x)))))
(sqrt.f64 (*.f64 4 (pow.f64 (-.f64 1 x) -2)))
(log.f64 (exp.f64 (/.f64 2 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 2 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 2 (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (/.f64 x 2))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) 1))
(+.f64 0 (/.f64 x (-.f64 1/2 (/.f64 x 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))))
(-.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) 1)
(/.f64 2 (/.f64 (-.f64 1 x) x))
(/.f64 1 (/.f64 (-.f64 1 x) (*.f64 2 x)))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(/.f64 (neg.f64 (*.f64 2 x)) (neg.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 2 x) 1) (-.f64 1 x))
(/.f64 (/.f64 (*.f64 2 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 2 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 -2 x) (neg.f64 (-.f64 1 x)))
(/.f64 (*.f64 x -2) (neg.f64 (-.f64 1 x)))
(pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 2)
(pow.f64 (/.f64 (-.f64 1 x) (*.f64 2 x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2)))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 1/2 (/.f64 x 2)))))
(exp.f64 (-.f64 (log.f64 (.f64 2 x)) (.f64 (log1p.f64 (neg.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 2 (-.f64 1 x)))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) (.f64 (log.f64 x) 1)))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)

Outputs
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(log.f64 -1)
(+.f64 (.f64 4/3 (.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 2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x)))))
(fma.f64 4/3 (.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 2/3 (*.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18))) (/.f64 1 x))))
(fma.f64 4/3 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) 2/3 (log.f64 -1)))
(+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -8/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) (pow.f64 x 2))) (+.f64 (.f64 4/3 (.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 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))))))))
(fma.f64 8/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (/.f64 1 (.f64 x x))) (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) -4/9) (.f64 x x)) (fma.f64 4/3 (.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) (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 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (/.f64 1 (.f64 x x))) -4/9))))))
(fma.f64 8/9 (/.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (.f64 x x)) (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) (/.f64 (.f64 x x) -4/9)) (fma.f64 4/3 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) 2/3) x) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (*.f64 x x)) -4/9 (log.f64 -1))))))
(fma.f64 8/9 (.f64 (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x) (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x)) (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) (/.f64 (.f64 x x) -4/9)) (+.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) 2/3 (log.f64 -1)) (fma.f64 4/3 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) (.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x) (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x)) -4/9)))))
(+.f64 (.f64 -16/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3) (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 2/3 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (.f64 8/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3)))) (pow.f64 x 3)))) (+.f64 (.f64 4/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (/.f64 (+.f64 (.f64 -16/27 (.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 -1)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/3) (-.f64 2/3 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))) (.f64 8/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (.f64 1 (log.f64 -1)) 1/3)) (+.f64 (.f64 8/9 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 -1)) 1/3) (/.f64 (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -8/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) (pow.f64 x 2))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2)) 1/9) (/.f64 (+.f64 (.f64 4/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9)) (.f64 -8/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9))) (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 -1)) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 -1) 4)) 1/9) (/.f64 1 x))))))))))))
(+.f64 (+.f64 (.f64 -16/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (/.f64 1 (pow.f64 x 3)))) (.f64 1/3 (/.f64 (-.f64 (-.f64 2/3 (.f64 -16/9 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) 8/27)) (pow.f64 x 3)))) (fma.f64 4/3 (.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)) (fma.f64 -4/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (/.f64 1 (.f64 x x))) (fma.f64 (/.f64 (fma.f64 -16/27 (/.f64 1 (log.f64 -1)) (.f64 2/3 (.f64 (-.f64 (-.f64 2/3 (.f64 -16/9 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) 8/27)) (cbrt.f64 (/.f64 1 (log.f64 -1)))))) (pow.f64 x 3)) (cbrt.f64 (log.f64 -1)) (fma.f64 8/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (/.f64 1 (.f64 x x))) (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) -4/9) (.f64 x x)) (fma.f64 2/3 (.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 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) -4/9) (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 (.f64 2/3 (*.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18))) (/.f64 1 x))))))))))
(fma.f64 -16/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 (+.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) 40/27)) (pow.f64 x 3)) (fma.f64 4/3 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) (fma.f64 (/.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (.f64 x x)) -4/9 (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (fma.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) 40/27)) (/.f64 -16/27 (log.f64 -1))) (pow.f64 x 3)) (fma.f64 8/9 (/.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) (pow.f64 (/.f64 1 (log.f64 -1)) 1/18)) (.f64 x x)) (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) (/.f64 (.f64 x x) -4/9)) (fma.f64 2/3 (.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 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) (/.f64 (pow.f64 x 3) -4/9))) (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) 2/3 (log.f64 -1))))))))))
(fma.f64 -16/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 (+.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) 40/27)) (pow.f64 x 3)) (fma.f64 4/3 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) (fma.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x) (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x)) -4/9 (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (fma.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (log.f64 -1)))) (+.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 -1) 2))) 40/27)) (/.f64 -16/27 (log.f64 -1))) (pow.f64 x 3)) (fma.f64 8/9 (.f64 (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x) (/.f64 (pow.f64 (/.f64 1 (log.f64 -1)) 1/18) x)) (fma.f64 (cbrt.f64 (log.f64 -1)) (/.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) (/.f64 (.f64 x x) -4/9)) (fma.f64 2/3 (.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 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 -1) 4)) 1/18)) (/.f64 (pow.f64 x 3) -4/9))) (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (log.f64 -1) 4) 1/18)) x) 2/3 (log.f64 -1))))))))))
(*.f64 (pow.f64 1 1/3) (log.f64 -1))
(log.f64 -1)
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2
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(log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))
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(log1p.f64 (/.f64 x (-.f64 1/2 (/.f64 x 2))))
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(exp.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (log.f64 x) 1)))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 2 (-.f64 1 x))) 1) (.f64 (log.f64 x) 1)))
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
(fma.f64 1 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1) -1)
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) (sqrt.f64 (fma.f64 2 (/.f64 x (-.f64 1 x)) 1)) -1)
(/.f64 x (-.f64 1/2 (/.f64 x 2)))
(*.f64 x (/.f64 -2 (+.f64 -1 x)))
(/.f64 1 (+.f64 (/.f64 1/2 x) -1/2))

eval201.0ms (11.1%)

Compiler: Compiled 8651 to 7684 computations (11.2% saved)

prune70.0ms (3.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	312	4	316

Error

Counts

316 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.5b	(.f64 1/2 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (/.f64 2 (-.f64 1 x)) x))) 3))
✓	0.3b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	0.4b	(.f64 1/2 (.f64 2 x))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 43 to 36 computations (16.3% saved)

regimes21.0ms (1.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Calls

4 calls:

4.0ms	x
4.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
4.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
4.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
0.0b	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 80 to 64 computations (20% saved)

regimes4.0ms (0.2%)

Accuracy

Total -0.4b remaining (-189.9%)

Threshold costs -0.4b (-189.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Outputs
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	23	37
2	27	37
3	29	37
4	30	37

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
(.f64 1/2 (.f64 2 x))

Compiler

Compiled 28 to 23 computations (17.9% saved)

soundness0.0ms (0%)

end31.0ms (1.7%)

Compiler: Compiled 26 to 21 computations (19.2% saved)

Details

analyze3.0ms (0.1%)

sample549.0ms (30.3%)

preprocess13.0ms (0.7%)

simplify79.0ms (4.4%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize14.0ms (0.8%)

series5.0ms (0.3%)

rewrite54.0ms (3%)

simplify43.0ms (2.4%)

localize14.0ms (0.8%)

series2.0ms (0.1%)

rewrite51.0ms (2.8%)

simplify42.0ms (2.3%)

eval128.0ms (7.1%)

prune66.0ms (3.7%)

localize5.0ms (0.3%)

localize33.0ms (1.8%)

series2.0ms (0.1%)

rewrite72.0ms (4%)

simplify56.0ms (3.1%)

localize44.0ms (2.4%)

series10.0ms (0.6%)

rewrite65.0ms (3.6%)

simplify127.0ms (7%)

eval201.0ms (11.1%)

prune70.0ms (3.9%)

regimes21.0ms (1.2%)

regimes4.0ms (0.2%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end31.0ms (1.7%)

Profiling