Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample2.2s (59.3%)

Results

1.0s	2057×	body	1024	valid
446.0ms	4172×	body	64	valid
365.0ms	995×	body	512	valid
150.0ms	214×	body	2048	valid
142.0ms	539×	body	256	valid
58.0ms	279×	body	128	valid

preprocess49.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

868×	`unswap-sqr_binary64`
380×	`associate-l_binary64`
377×	`fma-def_binary64`
334×	`distribute-neg-frac_binary64`
316×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	29	30
2	41	30
3	58	30
4	103	30
5	226	30
6	602	30
7	1879	30
8	4934	30
9	6358	30
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 y) -2))) -1)

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
942×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`
374×	`associate-*l/_binary64`
342×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	19	15
2	25	15
3	34	15
4	59	15
5	124	15
6	311	15
7	972	15
8	2549	15
9	4189	15
10	7087	15

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)

prune3.0ms (0.1%)

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

25.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	25.4b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

Compiler

Compiled 46 to 42 computations (8.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

426×	`log-prod_binary64`
329×	`exp-prod_binary64`
259×	`prod-diff_binary64`
252×	`pow2_binary64`
247×	`prod-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	217	15
2	2712	15

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (-.f64 1 (.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (.f64 -2 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))))

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-def_binary64`
676×	`unswap-sqr_binary64`
307×	`associate-*l/_binary64`
302×	`associate-l_binary64`
257×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	166
1	70	166
2	141	166
3	325	166
4	656	166
5	1444	166
6	2226	166
7	3659	166
8	6001	166
9	7519	166

Stop Event

1×	node limit

Counts

68 → 64

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)

prune89.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Error

Counts

65 → 3

Alt Table

Status	Error	Program
	25.8b	(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
	34.9b	x
▶	25.4b	(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

Status

Error

Program

25.8b

(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)

34.9b

▶

25.4b

(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

Compiler

Compiled 1211 to 1005 computations (17% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 x) -2)
✓	0.5b	(log1p.f64 (pow.f64 (exp.f64 x) -2))
✓	1.1b	(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))

series70.0ms (1.9%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	x	@	inf	(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
15.0ms	x	@	-inf	(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
2.0ms	x	@	0	(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
0.0ms	x	@	0	(log1p.f64 (pow.f64 (exp.f64 x) -2))
0.0ms	x	@	0	(pow.f64 (exp.f64 x) -2)

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
810×	`add-log-exp_binary64`
808×	`expm1-log1p-u_binary64`
807×	`log1p-expm1-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	188	27
2	2252	27

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(pow.f64 (exp.f64 x) -2)

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

Outputs

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

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

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

simplify54.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary64`
596×	`distribute-rgt-neg-in_binary64`
485×	`unswap-sqr_binary64`
437×	`associate-l_binary64`
401×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	426
1	128	417
2	304	389
3	918	331
4	3227	331
5	6772	331

Stop Event

1×	node limit

Counts

100 → 93

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1 x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/12 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/45 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/45 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/12 (pow.f64 x 4) (fma.f64 -1/45 (pow.f64 x 6) x)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/12) -1/2) (fma.f64 -1/45 (pow.f64 x 6) x))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(-.f64 (log.f64 2) (log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(-.f64 (log.f64 2) (log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (neg.f64 (+.f64 x x)))))
(-.f64 (log.f64 2) (log1p.f64 (exp.f64 (*.f64 x -2))))
(-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 x))
(+.f64 (log.f64 2) (neg.f64 x))
(-.f64 (log.f64 2) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (+.f64 (log.f64 2) (neg.f64 x)))
(fma.f64 (*.f64 x x) 1/2 (-.f64 (log.f64 2) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) (log.f64 2)) x)
(fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 x x) (+.f64 (log.f64 2) (fma.f64 -1 x (.f64 (pow.f64 x 4) -1/12))))
(+.f64 (-.f64 (.f64 (pow.f64 x 4) -1/12) x) (fma.f64 (.f64 x x) 1/2 (log.f64 2)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/12 (-.f64 (log.f64 2) x)))
(fma.f64 (pow.f64 x 4) -1/12 (fma.f64 x (fma.f64 x 1/2 -1) (log.f64 2)))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(log1p.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)))
(log1p.f64 (exp.f64 (neg.f64 (+.f64 x x))))
(log1p.f64 (exp.f64 (*.f64 x -2)))
(log1p.f64 (pow.f64 (exp.f64 x) -2))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 1 (.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x -2 (fma.f64 x (+.f64 x x) 1))
(fma.f64 x (fma.f64 x 2 -2) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 1 (fma.f64 -2 x (.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 (fma.f64 x -2 1) (.f64 -4/3 (pow.f64 x 3))))
(fma.f64 x (+.f64 x x) (fma.f64 x -2 (fma.f64 -4/3 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 2 -2) (fma.f64 -4/3 (pow.f64 x 3) 1))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(exp.f64 (neg.f64 (+.f64 x x)))
(exp.f64 (*.f64 x -2))
(pow.f64 (exp.f64 x) -2)

prune142.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	93	3	96

Error

Counts

96 → 3

Alt Table

Status

Error

Program

25.8b

(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)

✓

25.4b

(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

▶

17.3b

(expm1.f64 (*.f64 x (fma.f64 x -1/2 1)))

Compiler

Compiled 1489 to 1214 computations (18.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
475×	`add-sqr-sqrt_binary64`
467×	`*-un-lft-identity_binary64`
453×	`add-log-exp_binary64`
453×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	114	8
2	1215	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify111.0ms (3%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
803×	`sqr-pow_binary64`
552×	`cube-prod_binary64`
478×	`fabs-mul_binary64`
477×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	87
1	15	87
2	27	87
3	55	87
4	138	87
5	413	87
6	1544	87
7	2956	87
8	3318	87
9	3549	87
10	3788	87
11	4131	87
12	4555	87
13	5082	87
14	5660	87
15	6382	87
16	7221	87
17	7615	87
18	7905	87

Stop Event

1×	node limit

Counts

25 → 18

Calls

Call 1

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

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

prune14.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	18	3	21

Error

Counts

21 → 3

Alt Table

Status

Error

Program

▶

25.8b

(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)

✓

25.4b

(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

✓

17.3b

(expm1.f64 (*.f64 x (fma.f64 x -1/2 1)))

Compiler

Compiled 222 to 177 computations (20.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (exp.f64 x) -2)
✓	0.2b	(cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))
✓	0.5b	(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
✓	1.4b	(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)

series26.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
8.0ms	x	@	-inf	(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
5.0ms	x	@	0	(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
1.0ms	x	@	0	(cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))
1.0ms	x	@	0	(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
350×	`pow2_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`
236×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	331	46
2	3760	45

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)

(cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))

(cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))) (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/6) (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 16 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 8))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -2) (cbrt.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 6) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (exp.f64 (neg.f64 x)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) 4) 1/4) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (cbrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 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egg-rr> (2) ((x exp.f64 (*.f64 2/3 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 3) (*.f64 2 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 4 (pow.f64 (hypot.f64 1 (exp.f64 (neg.f64 x))) -4)))))))))

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Rules

684×	`fma-def_binary64`
500×	`*-commutative_binary64`
430×	`times-frac_binary64`
374×	`associate-/l*_binary64`
330×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1804
1	487	1671
2	1728	1578
3	7345	1578

Stop Event

1×	node limit

Counts

148 → 143

Calls

Call 1

Inputs
(-.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) x) (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) x) (+.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (.f64 (+.f64 (.f64 1/36 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3))) (+.f64 (.f64 -1/36 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 -1/216 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (.f64 1/9 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3)))))) (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (-.f64 (.f64 5/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) 1/6)))) (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) x) (+.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (.f64 (+.f64 (.f64 1/36 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3))) (+.f64 (.f64 -1/36 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2))))) 1)
(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(*.f64 (cbrt.f64 2) (cbrt.f64 1/2))
(+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 -1/36 (.f64 (.f64 (cbrt.f64 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 3) (-.f64 (.f64 5/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) 1/6))) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (.f64 -1/36 (.f64 (.f64 (cbrt.f64 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 1/4) (cbrt.f64 4))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 4) x))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 4) x))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (.f64 1/9 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3)))))) (.f64 (cbrt.f64 4) (pow.f64 x 3))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 4) x))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))

Outputs
(-.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) 1)
(fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) -1)
(fma.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (.f64 (cbrt.f64 2) (cbrt.f64 1/4)) -1)
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 2) (cbrt.f64 4))) -1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) x) (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))))) 1)
(+.f64 (.f64 (.f64 1/6 (+.f64 (.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) x) (fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) -1))
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 2) (+.f64 (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (cbrt.f64 4) (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))) x (fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) -1))
(fma.f64 (.f64 (.f64 (cbrt.f64 2) 1/6) (.f64 (cbrt.f64 4) (+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) x (fma.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (*.f64 (cbrt.f64 2) (cbrt.f64 1/4)) -1))
(fma.f64 (.f64 (.f64 (cbrt.f64 2) 1/6) (.f64 (cbrt.f64 4) (+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))) x (fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) x) (+.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (.f64 (+.f64 (.f64 1/36 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3))) (+.f64 (.f64 -1/36 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 (.f64 1/6 (+.f64 (.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) x (fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (.f64 (fma.f64 1/36 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/36 (.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (.f64 1/3 (/.f64 (cbrt.f64 2) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))))))))) (*.f64 x x)))) -1)
(fma.f64 (.f64 1/6 (.f64 (cbrt.f64 2) (+.f64 (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (cbrt.f64 4) (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))) x (+.f64 (.f64 x (.f64 x (fma.f64 1/36 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (cbrt.f64 1/4) 2))))) (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 4) (+.f64 1/4 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12))))) (.f64 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 2) (cbrt.f64 4))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) -1/36)))))) (fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) -1)))
(fma.f64 1/6 (.f64 x (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))) (fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (fma.f64 x (.f64 x (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 4) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 2) (+.f64 (.f64 1/36 (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2)))))) (.f64 -1/36 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))))))) -1)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 -1/216 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (.f64 1/9 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3)))))) (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (-.f64 (.f64 5/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) 1/6)))) (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) x) (+.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (.f64 (+.f64 (.f64 1/36 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3))) (+.f64 (.f64 -1/36 (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 1/2) (cbrt.f64 4)))) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 x 2))))) 1)
(+.f64 (fma.f64 (fma.f64 1/18 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))))) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 -1/216 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))))) (fma.f64 -1/3 (/.f64 (+.f64 1/6 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 2/9 (.f64 (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (.f64 (.f64 (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) 1/9)))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 1/2)) (cbrt.f64 4)))) (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (+.f64 (/.f64 5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1/6)))) (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 x 3) (fma.f64 (.f64 1/6 (+.f64 (.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) x (fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (.f64 (fma.f64 1/36 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/36 (.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (.f64 1/3 (/.f64 (cbrt.f64 2) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 4)) (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))))))))) (*.f64 x x))))) -1)
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(fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (/.f64 (.f64 (cbrt.f64 2) 1/18) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (cbrt.f64 4))) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4)) (fma.f64 -1/3 (.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (pow.f64 (cbrt.f64 1/4) 2)) (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) 1/3 1/6))) (fma.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (.f64 -1/216 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (/.f64 (.f64 (cbrt.f64 2) 1/3) (/.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (cbrt.f64 1/4)) (cbrt.f64 4))) (+.f64 (/.f64 5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1/6))))) (pow.f64 x 3) (fma.f64 1/6 (.f64 x (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (+.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))) (fma.f64 (cbrt.f64 2) (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (cbrt.f64 4))) (fma.f64 x (.f64 x (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 4) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 2) (+.f64 (.f64 1/36 (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2)))))) (.f64 -1/36 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))))))) -1))))
(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)))) (.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 3))) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 3))) -1)
(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)))) (.f64 (cbrt.f64 2) (cbrt.f64 4)) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 3))) -1)
(fma.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 3))) -1)
(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
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(-.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1) (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 4))) 1)
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(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(+.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (*.f64 (/.f64 (cbrt.f64 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 4)) -1)
(fma.f64 (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) (cbrt.f64 4) -1)
(fma.f64 (cbrt.f64 4) (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(+.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (*.f64 (/.f64 (cbrt.f64 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 4)) -1)
(fma.f64 (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) (cbrt.f64 4) -1)
(fma.f64 (cbrt.f64 4) (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(+.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
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(fma.f64 (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) (cbrt.f64 4) -1)
(fma.f64 (cbrt.f64 4) (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(-.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1)
(+.f64 (/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 4)) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) -1)
(+.f64 (*.f64 (/.f64 (cbrt.f64 2) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 4)) -1)
(fma.f64 (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) (cbrt.f64 4) -1)
(fma.f64 (cbrt.f64 4) (/.f64 (cbrt.f64 2) (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x))))) -1)
(*.f64 (cbrt.f64 2) (cbrt.f64 1/2))
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(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 2) x)) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
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(.f64 (cbrt.f64 2) (+.f64 (cbrt.f64 1/2) (.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x))))
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(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 2) x)) (fma.f64 -1/36 (.f64 (cbrt.f64 2) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(fma.f64 1/6 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x)) (fma.f64 (.f64 (.f64 -1/36 (cbrt.f64 2)) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2))))
(fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (+.f64 (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x)) (.f64 -1/36 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))))))
(+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (cbrt.f64 2) (.f64 (pow.f64 x 3) (-.f64 (.f64 5/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) 1/6))) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (.f64 -1/36 (.f64 (.f64 (cbrt.f64 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 2) x)) (fma.f64 1/3 (/.f64 (.f64 (.f64 (cbrt.f64 2) (pow.f64 x 3)) (+.f64 (/.f64 5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1/6)) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/36 (.f64 (cbrt.f64 2) (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))))
(fma.f64 1/6 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x)) (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 (+.f64 (/.f64 5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1/6) (pow.f64 x 3))) (fma.f64 (.f64 (.f64 -1/36 (cbrt.f64 2)) (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))))
(fma.f64 1/3 (.f64 (.f64 (+.f64 (/.f64 5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1/6) (pow.f64 x 3)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 (cbrt.f64 2) (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (+.f64 (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x)) (.f64 -1/36 (.f64 x (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1)) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (cbrt.f64 2) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))) 1/3))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))))))
(*.f64 (cbrt.f64 1/4) (cbrt.f64 4))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 4) x))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 4) x)) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(fma.f64 (cbrt.f64 1/4) (cbrt.f64 4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (*.f64 (cbrt.f64 4) x) 1/6)))
(.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 4) x))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 4) x)) (fma.f64 1/3 (/.f64 (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (cbrt.f64 4) (.f64 x x)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 4) x)) (fma.f64 1/3 (/.f64 (+.f64 1/4 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (cbrt.f64 4) (.f64 x x)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (cbrt.f64 4))) (.f64 x x)) (.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 1/6 (+.f64 (.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))) (.f64 1/9 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3)))))) (.f64 (cbrt.f64 4) (pow.f64 x 3))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 4) x))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/4 (.f64 1/12 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 4) (pow.f64 x 2))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(fma.f64 -1/3 (/.f64 (+.f64 1/6 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 2/9 (.f64 (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (.f64 (.f64 (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) 1/9)))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (cbrt.f64 4) (pow.f64 x 3)))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 4) x)) (fma.f64 1/3 (/.f64 (-.f64 1/4 (.f64 1/12 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (cbrt.f64 4) (.f64 x x)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(fma.f64 -1/3 (/.f64 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)) (+.f64 (.f64 (.f64 (+.f64 1/4 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) 1/3) 1/6)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (cbrt.f64 4) (pow.f64 x 3)))) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (cbrt.f64 4) x)) (fma.f64 1/3 (/.f64 (+.f64 1/4 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (cbrt.f64 4) (.f64 x x)))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)))))
(fma.f64 -1/3 (.f64 (/.f64 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/4) 2)) (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) 1/3 1/6)) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 x 3))) (cbrt.f64 4)) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/12 1/4) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (cbrt.f64 4))) (.f64 x x)) (.f64 (cbrt.f64 4) (+.f64 (cbrt.f64 1/4) (.f64 x (*.f64 1/6 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))
(*.f64 (cbrt.f64 4) (pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2)) 1/3))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))) 2))))
(*.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 (+.f64 x x)))) 2))))

prune443.0ms (11.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	189	3	192

Error

Counts

192 → 3

Alt Table

Status

Error

Program

✓

25.8b

(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)

✓

25.4b

(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))

✓

17.3b

(expm1.f64 (*.f64 x (fma.f64 x -1/2 1)))

Compiler

Compiled 5709 to 4864 computations (14.8% saved)

regimes52.0ms (1.4%)

Accuracy

Total -60.9b remaining (-519365%)

Threshold costs -60.9b (-519365%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (*.f64 x (fma.f64 x -1/2 1)))

Results

9.0ms	0.0b	`x`
19.0ms	14.8b	`y`
3.0ms	0.0b	`(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)`
3.0ms	0.0b	`(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))`
4.0ms	0.0b	`(+.f64 1 (exp.f64 (*.f64 -2 x)))`
3.0ms	0.0b	`(exp.f64 (*.f64 -2 x))`
8.0ms	0.0b	`(*.f64 -2 x)`

Compiler

Compiled 98 to 82 computations (16.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

(*.f64 -2 x)

Steps

Iters	Point		Range
-0.2	∈ [	-0.2067953547838206	,	-7.49500327419554e-12	]

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	34
1	26	34
2	30	34
3	32	34
4	33	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 -2 x) -3689348814741910528/18446744073709551616) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (expm1.f64 (.f64 x (fma.f64 x -1/2 1))))

Outputs

(if (<=.f64 (*.f64 -2 x) -3689348814741910528/18446744073709551616) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (expm1.f64 (*.f64 x (fma.f64 x -1/2 1))))

(if (<=.f64 (*.f64 -2 x) -3602879701896397/18014398509481984) (expm1.f64 (-.f64 (log.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (expm1.f64 (*.f64 x (fma.f64 x -1/2 1))))

end24.0ms (0.6%)

Stop Event

1×

done

Compiler

Compiled 48 to 40 computations (16.7% saved)

Details

analyze0.0ms (0%)

sample2.2s (59.3%)

preprocess49.0ms (1.3%)

simplify44.0ms (1.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite50.0ms (1.3%)

simplify57.0ms (1.5%)

prune89.0ms (2.4%)

localize7.0ms (0.2%)

series70.0ms (1.9%)

rewrite67.0ms (1.8%)

simplify54.0ms (1.5%)

prune142.0ms (3.8%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite38.0ms (1%)

simplify111.0ms (3%)

prune14.0ms (0.4%)

localize20.0ms (0.5%)

series26.0ms (0.7%)

rewrite67.0ms (1.8%)

simplify76.0ms (2%)

prune443.0ms (11.9%)

regimes52.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end24.0ms (0.6%)

Profiling