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)

sample623.0ms (22.5%)

Results

613.0ms	8256×	body	256	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess26.0ms (0.9%)

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)

simplify76.0ms (2.7%)

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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	2	9

Error

0.0b

Counts

9 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

series6.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite53.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
811×	`add-log-exp_binary64`
811×	`expm1-log1p-u_binary64`
810×	`log1p-expm1-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	173	29
2	2175	29

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

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

Outputs

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

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

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

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary64`
542×	`unswap-sqr_binary64`
274×	`associate-*l/_binary64`
224×	`associate-+l+_binary64`
208×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1363
1	502	1168
2	1826	990

Stop Event

1×	node limit

Counts

95 → 143

Calls

Call 1

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

Outputs
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 2))
(fma.f64 2 (fma.f64 x x x) 2)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 2)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 2))
(fma.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) 2)
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 2 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 4)))
(+.f64 (/.f64 -2 x) (-.f64 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(neg.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 2 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) (/.f64 -2 (pow.f64 x 4)))
(+.f64 (/.f64 -2 x) (-.f64 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.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 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (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 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.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) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.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 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.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) (log.f64 -1)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(*.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 (pow.f64 x 3)) (.f64 x x)))
(*.f64 2 (+.f64 (pow.f64 x 3) (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 (pow.f64 x 3) (+.f64 x (pow.f64 x 4)))))
(*.f64 2 (+.f64 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) (pow.f64 x 4)))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.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 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(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 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (/.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 (+.f64 2 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 -2 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x)))
(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 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(+.f64 -2 (-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 -2 (/.f64 -2 x)) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 -2 (+.f64 x -1))) 1)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(*.f64 -2 (/.f64 1 (+.f64 x -1)))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(*.f64 (/.f64 -2 (+.f64 x -1)) 1)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(*.f64 1 (/.f64 -2 (+.f64 x -1)))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(*.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 2))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 2) (cbrt.f64 (/.f64 -2 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(*.f64 (sqrt.f64 (/.f64 -2 (+.f64 x -1))) (sqrt.f64 (/.f64 -2 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(*.f64 2 (/.f64 1 (+.f64 1 (neg.f64 x))))
(/.f64 2 (-.f64 1 x))
(*.f64 (/.f64 1 (+.f64 x -1)) -2)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (.f64 x -1))))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (-.f64 1 (neg.f64 x))))
(/.f64 (*.f64 -2 (fma.f64 x x (+.f64 x 1))) (+.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 3) -1)) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 -2 (/.f64 (fma.f64 x x -1) (+.f64 x 1)))
(/.f64 (fma.f64 x -2 -2) (fma.f64 x x -1))
(pow.f64 (/.f64 -2 (+.f64 x -1)) 1)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(pow.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x -1))) 3)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(pow.f64 (sqrt.f64 (/.f64 -2 (+.f64 x -1))) 2)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(pow.f64 (*.f64 (+.f64 x -1) -1/2) -1)
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 2))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 -2 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 -2 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 -2 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(exp.f64 (log.f64 (/.f64 -2 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (+.f64 x -1)) 1))
(+.f64 (/.f64 -2 (+.f64 x -1)) 0)
(/.f64 -2 (+.f64 x -1))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) 1)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(.f64 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))) 1)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(.f64 1 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) 2))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1))))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(pow.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))) 1)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) 3)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) 2)
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))) 2))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 1))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))) 3))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))))
(+.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))) -1)
(+.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x -1)) -2)) 0)
(log1p.f64 (/.f64 x (fma.f64 x -1/2 1/2)))
(-.f64 (+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 1) 1)
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(/.f64 x (*.f64 (+.f64 x -1) -1/2))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(/.f64 1 (/.f64 (+.f64 x -1) (*.f64 -2 x)))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(/.f64 (*.f64 -2 x) (+.f64 x -1))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(/.f64 (neg.f64 (*.f64 -2 x)) (+.f64 1 (neg.f64 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(/.f64 (/.f64 (*.f64 -2 x) 1) (+.f64 x -1))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(/.f64 (/.f64 (*.f64 -2 x) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(/.f64 (/.f64 (*.f64 -2 x) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(/.f64 (*.f64 2 x) (+.f64 1 (neg.f64 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(/.f64 (*.f64 x 2) (+.f64 1 (neg.f64 x)))
(/.f64 2 (/.f64 (-.f64 1 x) x))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(pow.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 1)
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(pow.f64 (pow.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 3) 1/3)
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))) 3)
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))) 2)
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 2))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -2 (+.f64 x -1))) x))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 3))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 -2 (+.f64 x -1)) 3)))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3) (pow.f64 x 3)))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))
(exp.f64 (log.f64 (*.f64 x (/.f64 -2 (+.f64 x -1)))))
(+.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))) 0)
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(/.f64 x (fma.f64 x -1/2 1/2))

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 28 computations (26.3% saved)

series30.0ms (1.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(/.f64 2 (/.f64 (-.f64 1 x) x))
0.0ms	x	@	0	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 x) x)
0.0ms	x	@	inf	(/.f64 (-.f64 1 x) x)
0.0ms	x	@	inf	(log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x)))

rewrite64.0ms (2.3%)

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

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 (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))))))))))

((#(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)))))))

simplify74.0ms (2.7%)

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	1957	1079

Stop Event

1×	node limit

Counts

110 → 130

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 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 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 (+.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 (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))))))
(+.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)))

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 1))))
(+.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 (.f64 x (+.f64 x (fma.f64 x x 1))) (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))))
(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 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3))))
-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))))
(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 -2 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -2 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -2 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 2/3))
(fma.f64 (pow.f64 x 3) 2/3 (*.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 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (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 x (fma.f64 (pow.f64 x 3) 2/3 (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 2/3 (fma.f64 2 x (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (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 x) (+.f64 (log.f64 -1) (/.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 2 x) (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 x) (+.f64 (log.f64 -1) (/.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (+.f64 1 (*.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(.f64 1 (.f64 x (/.f64 2 (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (.f64 x (/.f64 2 (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (sqrt.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 (-.f64 1 x)) x)))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 2 (neg.f64 (-.f64 1 x))) (neg.f64 x))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) 1) x)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(.f64 (.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 3)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))) 2)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(pow.f64 (*.f64 (/.f64 (-.f64 1 x) x) 1/2) -1)
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (-.f64 1 x) x) 2)))
(sqrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/2 x)) -2))
(log.f64 (exp.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (-.f64 1 x))) 3))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))) 1)
(+.f64 1 (-.f64 (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))))
(.f64 1 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))))
(+.f64 1 (-.f64 (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))))
(.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x)))) 1)
(+.f64 1 (-.f64 (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))))
(.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 1 (-.f64 (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))))
(.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 1 (-.f64 (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))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (/.f64 2 (-.f64 1 x))))) (sqrt.f64 (log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))))
(+.f64 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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 1 (-.f64 (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))))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) x)) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 1 (/.f64 (-.f64 1 x) x))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (-.f64 1 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (/.f64 (-.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 2))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(.f64 (sqrt.f64 (-.f64 1 x)) (.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x)) (sqrt.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (/.f64 1 x) (-.f64 1 x))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 x) (sqrt.f64 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) x))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) x))
(+.f64 (/.f64 1 x) -1)
(/.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 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(pow.f64 (/.f64 (-.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 3) 1/3)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) 3)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x)) 2)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(pow.f64 (/.f64 x (-.f64 1 x)) -1)
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 2))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) x) 3))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 (/.f64 1 x) -1)
(/.f64 (-.f64 1 x) x)

eval107.0ms (3.9%)

Compiler: Compiled 4003 to 3223 computations (19.5% saved)

prune37.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	270	3	273
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	270	5	275

Error

Counts

275 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	58.1b	(.f64 1/2 (+.f64 1 (-.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))
▶	1.1b	(.f64 1/2 (.f64 2 x))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))))

Compiler

Compiled 55 to 46 computations (16.4% saved)

localize5.0ms (0.2%)

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

localize48.0ms (1.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.0b	(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
✓	6.2b	(+.f64 1 (-.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1))

Compiler

Compiled 64 to 50 computations (21.9% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`prod-diff_binary64`
475×	`log-prod_binary64`
285×	`fma-def_binary64`
263×	`pow2_binary64`
181×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	230	31
2	3260	31

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-rgt-in_binary64`
460×	`distribute-lft-in_binary64`
348×	`unswap-sqr_binary64`
341×	`associate-/l*_binary64`
257×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	3949
1	713	3789
2	2233	3778

Stop Event

1×	node limit

Counts

201 → 187

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

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))))
(+.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)))))
(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 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.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 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(*.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))))
(+.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)))))
(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 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.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 (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 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5))) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 3) (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(.f64 (+.f64 (.f64 x x) 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 -1 (/.f64 -1 (*.f64 x x))))
(-.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 0)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 2) (/.f64 (*.f64 2 x) (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 2) (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(-.f64 (log1p.f64 (/.f64 8 (pow.f64 (/.f64 (-.f64 1 x) x) 3))) (log1p.f64 (-.f64 (pow.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 2) (.f64 2 (/.f64 x (-.f64 1 x))))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 3)) (log1p.f64 (*.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) (fma.f64 2 (/.f64 x (-.f64 1 x)) -1))))
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 1)) (/.f64 (pow.f64 (+.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) -1) 2) (+.f64 (-.f64 1 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 2)) (+.f64 1 (-.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2)) (-.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))) 2)) (-.f64 2 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 2))) (log.f64 (-.f64 1 (/.f64 (.f64 2 x) (-.f64 1 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 2))) (log1p.f64 (/.f64 -2 (/.f64 (-.f64 1 x) x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)) 2))) (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x -1)))))
(.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 2))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 2) (.f64 (cbrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 1))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) (.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 1))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) -1) (-.f64 (+.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) -1) 1) 1)))
(.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) (+.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) -2) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 3)) (fma.f64 (+.f64 -1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) (+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) -2) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))) 3)) (fma.f64 (+.f64 -1 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))) (+.f64 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x))) -2) 1))
(.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 2)) (+.f64 1 (-.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2)) (-.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))) 2)) (-.f64 2 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))))
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(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(fma.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 1)) 0)
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 2)) (+.f64 1 (-.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2)) (-.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))) 2)) (-.f64 2 (log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))) -1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))) -1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x)))) 1) 1)
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (/.f64 -2 (/.f64 (+.f64 x -1) x)))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 x (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))
(.f64 (+.f64 x 1) (/.f64 x (-.f64 1 (.f64 x x))))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2) 1/2)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(/.f64 x (-.f64 1 x))
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(/.f64 x (-.f64 1 x))

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

series7.0ms (0.2%)

Counts

3 → 3

Calls

9 calls:

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

rewrite113.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary64`
855×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	200	22
2	2377	22

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (.f64 2 x) (.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 (*.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 pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)))) (#(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 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))) (#(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))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 4) (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 4/9) (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (*.f64 (pow.f64 x 6) 4/9) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9)) (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))) (neg.f64 (+.f64 (*.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 x x) 4)) (-.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (cbrt.f64 (*.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 x 2))))))

simplify52.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

505×	`div-sub_binary64`
477×	`log-prod_binary64`
414×	`exp-prod_binary64`
403×	`fma-def_binary64`
298×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1175
1	377	1006
2	1267	854
3	5500	854

Stop Event

1×	node limit

Counts

70 → 85

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(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))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(.f64 x (.f64 x x))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(.f64 (.f64 x x) x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(.f64 (.f64 (*.f64 x x) 1) x)
(.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 3 (log.f64 x)))
(-.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 4/9) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)) 1)
(.f64 1 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9))) (neg.f64 (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x x) 4)) (-.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (.f64 x 2)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 2) (.f64 x (cbrt.f64 2/3)) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 x 2))

Outputs
(*.f64 2 x)
(+.f64 x x)
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 x (.f64 x x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 x x) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) 1) x)
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(+.f64 1 (-.f64 (pow.f64 x 3) 1))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(-.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 4/9) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (*.f64 2 x)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (+.f64 x x)))
(.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)) 1)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 1 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 2/3 (.f64 (pow.f64 x 3) (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (*.f64 2 x)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (+.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 2/3 (.f64 (pow.f64 x 3) (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 2) (.f64 -2/3 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (*.f64 2 x)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (+.f64 x x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 2/3 (.f64 (pow.f64 x 3) (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 2/3 (.f64 (pow.f64 x 3) (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (*.f64 2 x)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (+.f64 x x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) 1) (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 2/3 (.f64 (pow.f64 x 3) (*.f64 2 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x -2)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 2/3 (.f64 (pow.f64 x 4) -2) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9))) (neg.f64 (+.f64 (.f64 x 2) (*.f64 -2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (*.f64 2 x)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (+.f64 x x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x x) 4)) (-.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (fma.f64 x 2 (.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (*.f64 2 x)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 2 x (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 (pow.f64 x 3) -2/3 (+.f64 x x)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 1 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (.f64 x 2)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 2 x)) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 2 x))))
(fma.f64 2/3 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 x (*.f64 x 4))) (cbrt.f64 (+.f64 x x))))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 2) (.f64 x (cbrt.f64 2/3)) (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) (*.f64 x 2))
(+.f64 1 (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)) 1))
(+.f64 (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))) 0)
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))

eval149.0ms (5.4%)

Compiler: Compiled 5578 to 4616 computations (17.2% saved)

prune305.0ms (11%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	272	5	277

Error

Counts

277 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.f64 1/2 (+.f64 (.f64 2 x) (.f64 2/3 (.f64 (*.f64 x x) x))))
✓	58.1b	(.f64 1/2 (+.f64 1 (-.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))
✓	1.1b	(.f64 1/2 (.f64 2 x))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))))

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize31.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 47 to 22 computations (53.2% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`pow1_binary64`
861×	`add-log-exp_binary64`
860×	`log1p-expm1-u_binary64`
860×	`expm1-log1p-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	191	22
2	2430	22

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

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 (*.f64 x (cbrt.f64 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)))) (#(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 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))) (#(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))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))) (/.f64 (*.f64 (pow.f64 x 6) 4/9) (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 2/3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 2 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 x (*.f64 2 (*.f64 2/3 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 x (*.f64 2 (*.f64 2/3 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 x (*.f64 2 (*.f64 2/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (*.f64 (pow.f64 x 6) 4/9) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 x (*.f64 2 (*.f64 2/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9)) (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 x (*.f64 2 (*.f64 2/3 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))) (neg.f64 (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (*.f64 x x) 4)) (-.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (*.f64 x x)) x (*.f64 x 2))))))

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg_binary64`
567×	`div-sub_binary64`
437×	`log-prod_binary64`
397×	`fma-def_binary64`
365×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1127
1	354	1073
2	1251	1058
3	5868	1058

Stop Event

1×	node limit

Counts

98 → 74

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(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))))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 (pow.f64 x 3/2) 2)
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(-.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))
(.f64 x (+.f64 (.f64 2/3 (*.f64 x x)) 2))
(.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x))))
(.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)) 1)
(.f64 1 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (*.f64 2/3 (pow.f64 x 3))))))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3)))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 (.f64 x x) 4) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9))) (neg.f64 (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x x) 4)) (-.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 2) (.f64 x (cbrt.f64 2/3)) (*.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 x 2))
(fma.f64 (.f64 2/3 (.f64 x x)) x (*.f64 x 2))

Outputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3/2) 2)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(-.f64 (+.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 1)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(-.f64 (/.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 (pow.f64 x 6) -4/9 (.f64 (.f64 x x) 4)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(.f64 x (+.f64 (.f64 2/3 (*.f64 x x)) 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)) 1)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 1 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (*.f64 2/3 (pow.f64 x 3))))))))
(.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 4/3 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 4/9 (.f64 x (-.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 4/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 -4/3 (pow.f64 x 4)))))
(.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (/.f64 1 (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 (pow.f64 x 6) -4/9 (.f64 (.f64 x x) 4)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))))
(.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 4/3 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 4/9 (.f64 x (-.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 4/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 -4/3 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 2) (.f64 2/3 (pow.f64 x 3))) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 6) 4/9))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 (pow.f64 x 6) -4/9 (.f64 (.f64 x x) 4)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3)))))))
(.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 4/3 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 4/9 (.f64 x (-.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 4/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 -4/3 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (-.f64 (.f64 (.f64 x x) 4) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3)))))))
(.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 4/3 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 4/9 (.f64 x (-.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 4/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 -4/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 (pow.f64 x 6) -4/9 (.f64 (.f64 x x) 4)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 2 (.f64 2/3 (pow.f64 x 3))))))))
(.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (fma.f64 (.f64 x x) 4 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 x (.f64 4/3 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 8/27 (.f64 (pow.f64 x 3) 8)) (fma.f64 (pow.f64 x 6) 4/9 (.f64 x (-.f64 (.f64 x 4) (.f64 (pow.f64 x 3) 4/3)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 8/27 (pow.f64 x 6)) 8)) (fma.f64 x (.f64 x 4) (fma.f64 (pow.f64 x 6) 4/9 (.f64 -4/3 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 4/9))) (neg.f64 (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 (pow.f64 x 6) -4/9 (.f64 (.f64 x x) 4)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (.f64 x x) 4)) (-.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 (pow.f64 x 6) 4/9)) (-.f64 (.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (pow.f64 x 6) -4/9)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(/.f64 (fma.f64 (pow.f64 x 6) -4/9 (.f64 (.f64 x x) 4)) (fma.f64 x 2 (*.f64 (pow.f64 x 3) -2/3)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3) 1/3)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 3)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 x 2 (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 (pow.f64 x 3) 2/3 (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 1 (.f64 2/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 1 (.f64 x 2) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 2/3)) 2) (.f64 x (cbrt.f64 2/3)) (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 (.f64 2/3 (.f64 x x)) x (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))

eval40.0ms (1.5%)

Compiler: Compiled 1242 to 998 computations (19.6% saved)

prune15.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	73	6	79

Error

Counts

79 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(.f64 1/2 (+.f64 (.f64 2 x) (.f64 2/3 (.f64 (*.f64 x x) x))))
✓	58.1b	(.f64 1/2 (+.f64 1 (-.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))
▶	0.6b	(.f64 1/2 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)))
✓	1.1b	(.f64 1/2 (.f64 2 x))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))))

Compiler

Compiled 69 to 55 computations (20.3% saved)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2/3 (.f64 x x)) 2)
✓	0.0b	(.f64 x (+.f64 (.f64 2/3 (*.f64 x x)) 2))
✓	0.2b	(.f64 2/3 (.f64 x x))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite52.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
830×	`add-log-exp_binary64`
829×	`log1p-expm1-u_binary64`
829×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	180	26
2	2307	26

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2/3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2/3 (pow.f64 x 3)) 1) (*.f64 (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/3 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/3 (pow.f64 x 3))) (*.f64 (*.f64 x 2) (*.f64 x 2))) (-.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (*.f64 8/27 (pow.f64 (*.f64 x x) 3))) x) (+.f64 (*.f64 4/9 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 4/9 (pow.f64 x 4)) -4) x) (fma.f64 2/3 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (*.f64 8/27 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 4/9 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 4/9 (pow.f64 x 4)) -4)) (fma.f64 2/3 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 2/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 2/3 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 2/3 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (*.f64 x x)) x (*.f64 x 2))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2/3 (*.f64 x x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4/9 (pow.f64 x 4)) (fma.f64 2/3 (*.f64 x x) -2)) (/.f64 4 (fma.f64 2/3 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/3 (*.f64 x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/3 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (*.f64 8/27 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (*.f64 4/9 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 4/9 (pow.f64 x 4)) -4) (/.f64 1 (fma.f64 2/3 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 4/9 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) 4/3))) (+.f64 8 (*.f64 8/27 (pow.f64 (*.f64 x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2/3 (*.f64 x x) -2) (+.f64 (*.f64 4/9 (pow.f64 x 4)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 8/27 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 4/9 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (*.f64 8/27 (pow.f64 (*.f64 x x) 3))) (+.f64 4 (-.f64 (*.f64 4/9 (pow.f64 x 4)) (*.f64 (*.f64 x x) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4/9 (pow.f64 x 4)) -4) (fma.f64 2/3 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (*.f64 8/27 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (*.f64 4/9 (pow.f64 x 4)) (-.f64 4 (*.f64 (*.f64 x x) 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 4/9 (pow.f64 x 4)) -4)) (neg.f64 (fma.f64 2/3 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 4/9 (pow.f64 x 4))) (-.f64 2 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 2/3 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 x 4))) (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 x) x 2)))))

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-neg_binary64`
457×	`fma-def_binary64`
436×	`log-prod_binary64`
416×	`unswap-sqr_binary64`
297×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1272
1	445	1185
2	1632	1156
3	6519	1156

Stop Event

1×	node limit

Counts

104 → 101

Calls

Call 1

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

Outputs
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2/3 (pow.f64 x 2))
(.f64 2/3 (.f64 x x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
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(.f64 x (fma.f64 2/3 (.f64 x x) 2))
2
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 2)
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(.f64 (/.f64 x (fma.f64 2/3 (.f64 x x) -2)) (fma.f64 4/9 (pow.f64 x 4) -4))
(.f64 x (/.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (fma.f64 2/3 (.f64 x x) -2)))
(pow.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2)) 1)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(pow.f64 (pow.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2)) 3) 1/3)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2))) 3)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2))) 2)
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2)) 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
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(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2/3 (.f64 x x) 2) 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 2/3 (.f64 x x) 2) 3) (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(exp.f64 (log.f64 (.f64 x (fma.f64 2/3 (.f64 x x) 2))))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 x (.f64 2/3 (.f64 x x)) (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 (.f64 2/3 (.f64 x x)) x (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 2/3 (.f64 x x) 2))
(-.f64 (+.f64 1 (fma.f64 2/3 (*.f64 x x) 2)) 1)
(fma.f64 2/3 (*.f64 x x) 2)
(-.f64 (/.f64 (.f64 4/9 (pow.f64 x 4)) (fma.f64 2/3 (.f64 x x) -2)) (/.f64 4 (fma.f64 2/3 (*.f64 x x) -2)))
(-.f64 (/.f64 4/9 (/.f64 (fma.f64 2/3 (.f64 x x) -2) (pow.f64 x 4))) (/.f64 4 (fma.f64 2/3 (.f64 x x) -2)))
(+.f64 (.f64 (/.f64 4/9 (fma.f64 2/3 (.f64 x x) -2)) (pow.f64 x 4)) (/.f64 -4 (fma.f64 2/3 (*.f64 x x) -2)))
(fma.f64 (/.f64 4/9 (fma.f64 2/3 (.f64 x x) -2)) (pow.f64 x 4) (/.f64 -4 (fma.f64 2/3 (.f64 x x) -2)))
(fma.f64 (pow.f64 x 4) (/.f64 4/9 (fma.f64 2/3 (.f64 x x) -2)) (/.f64 -4 (fma.f64 2/3 (.f64 x x) -2)))
(.f64 (fma.f64 2/3 (.f64 x x) 2) 1)
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(.f64 1 (fma.f64 2/3 (.f64 x x) 2))
(fma.f64 2/3 (*.f64 x x) 2)
(.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) (pow.f64 (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2))
(fma.f64 2/3 (*.f64 x x) 2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (.f64 x x) 2)) 2) (cbrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(.f64 (sqrt.f64 (fma.f64 2/3 (.f64 x x) 2)) (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(.f64 (+.f64 8 (.f64 8/27 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (.f64 4/9 (pow.f64 x 4)) (-.f64 4 (.f64 (.f64 x x) 4/3)))))
(.f64 (+.f64 (.f64 8/27 (pow.f64 (.f64 x x) 3)) 8) (/.f64 1 (fma.f64 4/9 (pow.f64 x 4) (-.f64 4 (.f64 (*.f64 x x) 4/3)))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (+.f64 4 (fma.f64 4/9 (pow.f64 x 4) (.f64 (.f64 x x) -4/3))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (fma.f64 4/9 (pow.f64 x 4) (fma.f64 (*.f64 x x) -4/3 4)))
(.f64 (+.f64 (.f64 4/9 (pow.f64 x 4)) -4) (/.f64 1 (fma.f64 2/3 (*.f64 x x) -2)))
(.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (/.f64 1 (fma.f64 2/3 (.f64 x x) -2)))
(/.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (fma.f64 2/3 (*.f64 x x) -2))
(/.f64 1 (/.f64 (+.f64 (.f64 4/9 (pow.f64 x 4)) (-.f64 4 (.f64 (.f64 x x) 4/3))) (+.f64 8 (.f64 8/27 (pow.f64 (*.f64 x x) 3)))))
(.f64 (+.f64 (.f64 8/27 (pow.f64 (.f64 x x) 3)) 8) (/.f64 1 (fma.f64 4/9 (pow.f64 x 4) (-.f64 4 (.f64 (*.f64 x x) 4/3)))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (+.f64 4 (fma.f64 4/9 (pow.f64 x 4) (.f64 (.f64 x x) -4/3))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (fma.f64 4/9 (pow.f64 x 4) (fma.f64 (*.f64 x x) -4/3 4)))
(/.f64 1 (/.f64 (fma.f64 2/3 (.f64 x x) -2) (+.f64 (.f64 4/9 (pow.f64 x 4)) -4)))
(.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (/.f64 1 (fma.f64 2/3 (.f64 x x) -2)))
(/.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (fma.f64 2/3 (*.f64 x x) -2))
(/.f64 (+.f64 8 (.f64 8/27 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 4/9 (pow.f64 x 4)) (-.f64 4 (.f64 (*.f64 x x) 4/3))))
(.f64 (+.f64 (.f64 8/27 (pow.f64 (.f64 x x) 3)) 8) (/.f64 1 (fma.f64 4/9 (pow.f64 x 4) (-.f64 4 (.f64 (*.f64 x x) 4/3)))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (+.f64 4 (fma.f64 4/9 (pow.f64 x 4) (.f64 (.f64 x x) -4/3))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (fma.f64 4/9 (pow.f64 x 4) (fma.f64 (*.f64 x x) -4/3 4)))
(/.f64 (+.f64 8 (.f64 8/27 (pow.f64 (.f64 x x) 3))) (+.f64 4 (-.f64 (.f64 4/9 (pow.f64 x 4)) (.f64 (*.f64 x x) 4/3))))
(.f64 (+.f64 (.f64 8/27 (pow.f64 (.f64 x x) 3)) 8) (/.f64 1 (fma.f64 4/9 (pow.f64 x 4) (-.f64 4 (.f64 (*.f64 x x) 4/3)))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (+.f64 4 (fma.f64 4/9 (pow.f64 x 4) (.f64 (.f64 x x) -4/3))))
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(/.f64 (+.f64 (.f64 4/9 (pow.f64 x 4)) -4) (fma.f64 2/3 (.f64 x x) -2))
(.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (/.f64 1 (fma.f64 2/3 (.f64 x x) -2)))
(/.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (fma.f64 2/3 (*.f64 x x) -2))
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(.f64 (+.f64 (.f64 8/27 (pow.f64 (.f64 x x) 3)) 8) (/.f64 1 (fma.f64 4/9 (pow.f64 x 4) (-.f64 4 (.f64 (*.f64 x x) 4/3)))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (+.f64 4 (fma.f64 4/9 (pow.f64 x 4) (.f64 (.f64 x x) -4/3))))
(/.f64 (fma.f64 8/27 (pow.f64 x 6) 8) (fma.f64 4/9 (pow.f64 x 4) (fma.f64 (*.f64 x x) -4/3 4)))
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(.f64 (fma.f64 4/9 (pow.f64 x 4) -4) (/.f64 1 (fma.f64 2/3 (.f64 x x) -2)))
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(pow.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3) 1/3)
(fma.f64 2/3 (*.f64 x x) 2)
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(fma.f64 2/3 (*.f64 x x) 2)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (*.f64 x x) 2)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 2))
(fma.f64 2/3 (*.f64 x x) 2)
(log.f64 (exp.f64 (fma.f64 2/3 (*.f64 x x) 2)))
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(cbrt.f64 (pow.f64 (fma.f64 2/3 (*.f64 x x) 2) 3))
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(expm1.f64 (log1p.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(log1p.f64 (expm1.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(exp.f64 (log.f64 (fma.f64 2/3 (*.f64 x x) 2)))
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 (*.f64 x x) 2/3 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 1 (.f64 2/3 (.f64 x x)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 (cbrt.f64 (.f64 4/9 (pow.f64 x 4))) (cbrt.f64 (.f64 2/3 (*.f64 x x))) 2)
(fma.f64 (cbrt.f64 (.f64 2/3 (.f64 x x))) (cbrt.f64 (*.f64 4/9 (pow.f64 x 4))) 2)
(fma.f64 (.f64 x (sqrt.f64 2/3)) (.f64 x (sqrt.f64 2/3)) 2)
(fma.f64 2/3 (*.f64 x x) 2)
(fma.f64 (*.f64 2/3 x) x 2)
(fma.f64 2/3 (*.f64 x x) 2)

eval36.0ms (1.3%)

Compiler: Compiled 1711 to 1233 computations (27.9% saved)

prune17.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	100	7	107

Error

Counts

107 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(.f64 1/2 (+.f64 (.f64 2 x) (.f64 2/3 (.f64 (*.f64 x x) x))))
✓	58.1b	(.f64 1/2 (+.f64 1 (-.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))
	0.6b	(.f64 1/2 (.f64 x (+.f64 (-.f64 (+.f64 1 (.f64 2/3 (.f64 x x))) 1) 2)))
✓	0.6b	(.f64 1/2 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)))
✓	1.1b	(.f64 1/2 (.f64 2 x))
✓	0.2b	(*.f64 1/2 (log1p.f64 (/.f64 2 (/.f64 (-.f64 1 x) x))))
✓	0.0b	(.f64 1/2 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))))

Compiler

Compiled 85 to 68 computations (20% saved)

regimes26.0ms (0.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
6.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
5.0ms	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 130 to 100 computations (23.1% saved)

regimes6.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (+.f64 (.f64 2 x) (.f64 2/3 (.f64 (*.f64 x x) x))))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-88.2%)

Threshold costs -0.5b (-88.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)))

Outputs
(.f64 1/2 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	57
1	36	57

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(.f64 1/2 (log1p.f64 (.f64 x (/.f64 -2 (+.f64 x -1)))))
(.f64 1/2 (+.f64 (.f64 2 x) (.f64 2/3 (.f64 (*.f64 x x) x))))
(.f64 1/2 (+.f64 (.f64 x 2) (.f64 2/3 (.f64 x (*.f64 x x)))))
(.f64 1/2 (.f64 x (+.f64 (.f64 2/3 (.f64 x x)) 2)))
(.f64 1/2 (.f64 x (+.f64 2 (.f64 2/3 (.f64 x x)))))
(.f64 1/2 (.f64 2 x))
(.f64 1/2 (.f64 x 2))

Compiler

Compiled 43 to 33 computations (23.3% saved)

soundness210.0ms (7.6%)

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

Compiler

Compiled 159 to 133 computations (16.4% saved)

end60.0ms (2.2%)

Compiler: Compiled 40 to 29 computations (27.5% saved)

Details

analyze3.0ms (0.1%)

sample623.0ms (22.5%)

preprocess26.0ms (0.9%)

simplify76.0ms (2.7%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize15.0ms (0.5%)

series6.0ms (0.2%)

rewrite53.0ms (1.9%)

simplify81.0ms (2.9%)

localize15.0ms (0.5%)

series30.0ms (1.1%)

rewrite64.0ms (2.3%)

simplify74.0ms (2.7%)

eval107.0ms (3.9%)

prune37.0ms (1.3%)

localize5.0ms (0.2%)

localize48.0ms (1.7%)

series3.0ms (0.1%)

rewrite72.0ms (2.6%)

simplify93.0ms (3.3%)

localize15.0ms (0.5%)

series7.0ms (0.2%)

rewrite113.0ms (4.1%)

simplify52.0ms (1.9%)

eval149.0ms (5.4%)

prune305.0ms (11%)

localize31.0ms (1.1%)

series2.0ms (0.1%)

rewrite54.0ms (2%)

simplify59.0ms (2.1%)

eval40.0ms (1.5%)

prune15.0ms (0.5%)

localize14.0ms (0.5%)

series3.0ms (0.1%)

rewrite52.0ms (1.9%)

simplify59.0ms (2.1%)

eval36.0ms (1.3%)

prune17.0ms (0.6%)

regimes26.0ms (0.9%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness210.0ms (7.6%)

end60.0ms (2.2%)

Profiling