Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample725.0ms (18.9%)

Results

715.0ms

8256×

body

256

valid

Bogosity

preprocess18.0ms (0.5%)

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
(acosh.f64 x)

Outputs
(acosh.f64 x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify114.0ms (3%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-neg_binary64`
682×	`unsub-neg_binary64`
430×	`distribute-neg-in_binary64`
420×	`sub-neg_binary64`
353×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	18	12
2	22	12
3	37	12
4	76	12
5	152	12
6	359	12
7	756	12
8	2543	12
9	4491	12
10	5836	12
11	6572	12
12	6876	12
13	7073	12
14	7205	12
15	7549	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	0.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	30.5b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series1.1s (27.4%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
369.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
280.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
244.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
151.0ms	x	@	0	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
2.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 97624 to 90406 computations (7.4% saved)

rewrite63.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
833×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	176	29
2	2453	29

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

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

Outputs

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

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

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

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-neg_binary64`
456×	`unswap-sqr_binary64`
301×	`times-frac_binary64`
191×	`associate-+l+_binary64`
185×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	1741
1	589	1553
2	1851	1352
3	7382	1352

Stop Event

1×	node limit

Counts

100 → 162

Calls

Call 1

Inputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x)) (*.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 4)) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -5/96 (pow.f64 (/.f64 1 x) 6)) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -5/128 (pow.f64 (/.f64 -1 x) 7)) (.f64 1/2 (/.f64 1 x)))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)

Outputs
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/8 (/.f64 1 (pow.f64 x 3)) x) (/.f64 1/2 x))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)) x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (fma.f64 -1/8 (/.f64 1 (pow.f64 x 3)) x)) (/.f64 1/2 x))
(+.f64 (+.f64 x (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 -1/2 x))
(+.f64 x (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (/.f64 -1/2 x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (fma.f64 -1/8 (/.f64 -1 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (-.f64 (/.f64 1/2 x) x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 -1 x))))
(+.f64 (/.f64 1/2 x) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (fma.f64 -1/8 (/.f64 -1 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/2 x) x) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (log.f64 x) (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 2) (log.f64 2)))
(+.f64 (/.f64 (/.f64 -1/4 x) x) (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 4)) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 2) (*.f64 -3/32 (pow.f64 (/.f64 1 x) 4)))))
(+.f64 (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (+.f64 (log.f64 2) (/.f64 (/.f64 -1/4 x) x)) (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (log.f64 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -5/96 (pow.f64 (/.f64 1 x) 6)) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 -5/96 (pow.f64 (/.f64 1 x) 6) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 -5/96 (pow.f64 (/.f64 1 x) 6) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))))
(+.f64 (fma.f64 -3/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 -5/96 (pow.f64 (/.f64 1 x) 6) (/.f64 (/.f64 -1/4 x) x))) (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 2 x) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 2 x (*.f64 -1/8 (/.f64 1 (pow.f64 x 3)))) (/.f64 1/2 x))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 1 x) 5)) (.f64 -1/8 (pow.f64 (/.f64 1 x) 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 2 x (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (*.f64 -1/8 (/.f64 1 (pow.f64 x 3))))) (/.f64 1/2 x))
(+.f64 (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (fma.f64 -1/16 (pow.f64 (/.f64 1 x) 5) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/8 (/.f64 -1 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1/8 (/.f64 -1 (pow.f64 x 3)) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 x) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -1/16 (pow.f64 (/.f64 -1 x) 5)) (+.f64 (.f64 -5/128 (pow.f64 (/.f64 -1 x) 7)) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1/8 (/.f64 -1 (pow.f64 x 3)) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (fma.f64 -5/128 (pow.f64 (/.f64 -1 x) 7) (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (fma.f64 -5/128 (pow.f64 (/.f64 -1 x) 7) (/.f64 1/2 x))))
(+.f64 (fma.f64 -5/128 (pow.f64 (/.f64 -1 x) 7) (/.f64 1/2 x)) (fma.f64 -1/16 (pow.f64 (/.f64 -1 x) 5) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (fma.f64 x x -1) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (sqrt.f64 (fma.f64 x x -1)) 0)
(sqrt.f64 (fma.f64 x x -1))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (+.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 1 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 0)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

eval55.0ms (1.4%)

Compiler: Compiled 2478 to 1798 computations (27.4% saved)

prune22.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Error

Counts

163 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (log.f64 2) (log.f64 x))
▶	63.0b	(log.f64 (/.f64 1/2 x))
▶	0.6b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	32.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	0.8b	(log.f64 (+.f64 x x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(log.f64 (+.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series160.0ms (4.2%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
131.0ms	x	@	-inf	(log.f64 (+.f64 x x))
23.0ms	x	@	0	(log.f64 (+.f64 x x))
6.0ms	x	@	inf	(log.f64 (+.f64 x x))

Compiler

Compiled 11336 to 10304 computations (9.1% saved)

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`pow1_binary64`
379×	`add-sqr-sqrt_binary64`
371×	`*-un-lft-identity_binary64`
367×	`add-log-exp_binary64`
366×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	85	6
2	1194	6

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

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

Outputs

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
545×	`log-prod_binary64`
478×	`associate-l_binary64`
463×	`fma-def_binary64`
436×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	586
1	316	525
2	1012	509
3	5753	509

Stop Event

1×	node limit

Counts

65 → 80

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Compiler

Compiled 25 to 18 computations (28% saved)

series443.0ms (11.6%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
252.0ms	x	@	-inf	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
190.0ms	x	@	0	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
2.0ms	x	@	inf	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Compiler

Compiled 42076 to 36946 computations (12.2% saved)

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`pow1_binary64`
835×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
820×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	178	10
2	2335	10

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))))))

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

589×	`distribute-rgt-in_binary64`
539×	`distribute-lft-in_binary64`
308×	`fma-neg_binary64`
289×	`associate-l_binary64`
275×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	393
1	193	356
2	618	352
3	3108	347

Stop Event

1×	node limit

Counts

24 → 56

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (.f64 -1/32 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (.f64 -1/32 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -1/192 (pow.f64 (/.f64 1 x) 6)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))
(+.f64 (log.f64 x) (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 2) (log.f64 2)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 (/.f64 -1/4 x) x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (.f64 -1/32 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2)))))
(fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2)))))
(+.f64 (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 2) (log.f64 2)) (fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (log.f64 x))))
(+.f64 (.f64 -1/32 (pow.f64 (/.f64 1 x) 4)) (+.f64 (.f64 -1/192 (pow.f64 (/.f64 1 x) 6)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))))
(fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 -1/192 (pow.f64 (/.f64 1 x) 6) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 (/.f64 1 x) 2))))))
(fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (+.f64 (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 2) (log.f64 2)) (fma.f64 -1/192 (pow.f64 (/.f64 1 x) 6) (log.f64 x))))
(+.f64 (+.f64 (log.f64 2) (/.f64 (/.f64 -1/4 x) x)) (fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 -1/192 (pow.f64 (/.f64 1 x) 6) (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 -1/4 (*.f64 x x)) (fma.f64 -1/32 (pow.f64 (/.f64 1 x) 4) (fma.f64 -1/192 (pow.f64 (/.f64 1 x) 6) (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 3)
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(-.f64 (+.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (.f64 x 2) 2) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 2 x) 3) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (.f64 2 x) 2) (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (.f64 x 4) (/.f64 (+.f64 (.f64 1 x) (/.f64 1/4 x)) x))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (+.f64 x (/.f64 1/4 x)) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x 2) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 2 x) 2) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 (/.f64 1/2 x) 2))) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (neg.f64 (/.f64 1/4 x)) x))) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x)))) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 2 x (/.f64 -1/2 x))))
(log1p.f64 (fma.f64 2 x (+.f64 -1 (/.f64 -1/2 x))))
(log1p.f64 (fma.f64 2 x (-.f64 (/.f64 -1/2 x) 1)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 2 x (/.f64 -1/2 x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1/2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series194.0ms (5.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
178.0ms	x	@	-inf	(log.f64 (/.f64 1/2 x))
10.0ms	x	@	0	(log.f64 (/.f64 1/2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 1/2 x))

Compiler

Compiled 9288 to 8256 computations (11.1% saved)

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`pow1_binary64`
466×	`add-sqr-sqrt_binary64`
454×	`*-un-lft-identity_binary64`
444×	`add-log-exp_binary64`
444×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1213	6

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(log.f64 (/.f64 1/2 x))

Outputs

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

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-neg_binary64`
435×	`log-prod_binary64`
307×	`associate-l_binary64`
291×	`associate-r_binary64`
249×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	256
1	157	246
2	542	246
3	3353	246
4	6965	246

Stop Event

1×	node limit

Counts

33 → 35

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series229.0ms (6%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
202.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
21.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 14408 to 13376 computations (7.2% saved)

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`pow1_binary64`
588×	`add-log-exp_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
576×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	127	6
2	1617	6

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))

Outputs

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg_binary64`
408×	`div-sub_binary64`
405×	`cancel-sign-sub-inv_binary64`
390×	`associate-l_binary64`
337×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	579
1	210	368
2	631	358
3	3802	358

Stop Event

1×	node limit

Counts

37 → 39

Calls

Call 1

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

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

eval56.0ms (1.5%)

Compiler: Compiled 2403 to 1693 computations (29.5% saved)

prune43.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	210	5	215

Error

Counts

215 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (log.f64 2) (log.f64 x))
✓	0.6b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	32.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.8b	(log.f64 (+.f64 x x))
	62.0b	0

Compiler

Compiled 32 to 24 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (log.f64 2) (log.f64 x))
✓	0.6b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	32.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.8b	(log.f64 (+.f64 x x))
	62.0b	0

Compiler

Compiled 32 to 24 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (log.f64 2) (log.f64 x))
✓	0.6b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	32.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.8b	(log.f64 (+.f64 x x))
	62.0b	0

Compiler

Compiled 32 to 24 computations (25% saved)

regimes28.0ms (0.7%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(+.f64 (log.f64 2) (log.f64 x))

Calls

5 calls:

7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.5b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.5b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`
0.5b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes11.0ms (0.3%)

Accuracy

Total -62.2b remaining (-7895.1%)

Threshold costs -62.2b (-7895.1%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	18	27
2	25	27
3	27	27
4	28	27

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
0

Outputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (-.f64 (*.f64 2 x) (/.f64 1/2 x)))
(log.f64 (+.f64 (*.f64 2 x) (/.f64 -1/2 x)))
(log.f64 (+.f64 x x))
0

Compiler

Compiled 22 to 17 computations (22.7% saved)

soundness75.0ms (2%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-neg_binary64`
456×	`unswap-sqr_binary64`
301×	`times-frac_binary64`
191×	`associate-+l+_binary64`
185×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	1741
1	589	1553
2	1851	1352
3	7382	1352

Stop Event

1×	node limit

Compiler

Compiled 33 to 29 computations (12.1% saved)

end26.0ms (0.7%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

Details

analyze0.0ms (0%)

sample725.0ms (18.9%)

preprocess18.0ms (0.5%)

simplify114.0ms (3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.3%)

series1.1s (27.4%)

rewrite63.0ms (1.6%)

simplify68.0ms (1.8%)

eval55.0ms (1.4%)

prune22.0ms (0.6%)

localize4.0ms (0.1%)

series160.0ms (4.2%)

rewrite46.0ms (1.2%)

simplify49.0ms (1.3%)

localize11.0ms (0.3%)

series443.0ms (11.6%)

rewrite47.0ms (1.2%)

simplify53.0ms (1.4%)

localize6.0ms (0.1%)

series194.0ms (5.1%)

rewrite54.0ms (1.4%)

simplify46.0ms (1.2%)

localize8.0ms (0.2%)

series229.0ms (6%)

rewrite59.0ms (1.5%)

simplify42.0ms (1.1%)

eval56.0ms (1.5%)

prune43.0ms (1.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes28.0ms (0.7%)

regimes5.0ms (0.1%)

regimes11.0ms (0.3%)

simplify4.0ms (0.1%)

soundness75.0ms (2%)

end26.0ms (0.7%)

Profiling