Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample4.6s (79.3%)

Results

3.2s	4276×	body	2048	valid
909.0ms	2084×	body	1024	valid
334.0ms	1028×	body	512	valid
94.0ms	531×	body	256	valid
36.0ms	337×	body	128	valid
0.0ms	1×	body	128	invalid

preprocess37.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

624×	`fma-def_binary64`
581×	`fma-neg_binary64`
548×	`unswap-sqr_binary64`
284×	`cancel-sign-sub-inv_binary64`
199×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	36	13
3	60	13
4	122	13
5	272	13
6	697	13
7	1699	13
8	3110	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-def_binary64`
581×	`fma-neg_binary64`
548×	`unswap-sqr_binary64`
284×	`cancel-sign-sub-inv_binary64`
199×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	36	13
3	60	13
4	122	13
5	272	13
6	697	13
7	1699	13
8	3110	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

prune8.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

30.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	30.0b	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
▶	30.0b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 x) 2)
✓	4.9b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(-.f64 (exp.f64 x) 2)
0.0ms	x	@	inf	(-.f64 (exp.f64 x) 2)

rewrite45.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
91×	`add-log-exp_binary64`
89×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	181	17
2	2646	17

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) 2)

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

Outputs

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

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

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

749×	`unswap-sqr_binary64`
561×	`associate-l_binary64`
554×	`fma-def_binary64`
408×	`associate-r_binary64`
159×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	202
1	107	196
2	240	196
3	755	191
4	3282	191

Stop Event

1×	node limit

Counts

94 → 96

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)) 1)

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(+.f64 -1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(fma.f64 (fma.f64 x 1/2 1) x -1)
(fma.f64 x (fma.f64 x 1/2 1) -1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 -1 (fma.f64 (*.f64 x x) 1/2 x)))
(+.f64 -1 (fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x)))
(+.f64 x (fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) -1))
(fma.f64 x (*.f64 x (fma.f64 x 1/6 1/2)) (+.f64 x -1))

prune105.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Error

0.0b

Counts

98 → 3

Alt Table

Status	Error	Program
	29.9b	(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2)))))
▶	0.3b	(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))
✓	30.0b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Status

Error

Program

29.9b

(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))

▶

0.3b

(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))

✓

30.0b

(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1537 to 895 computations (41.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/20160 (pow.f64 x 8))
✓	0.1b	(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
✓	0.1b	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))
1.0ms	x	@	0	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))
1.0ms	x	@	-inf	(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))
1.0ms	x	@	0	(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
1.0ms	x	@	inf	(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
176×	`log-pow_binary64`
152×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	299	42
2	3060	42

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(*.f64 1/20160 (pow.f64 x 8))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) (.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/12 (pow.f64 x 4)) 1) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 1/360 (pow.f64 x 6))) (.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/12 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 3)) (fma.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4)) (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 2) (.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) (exp.f64 (.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) (exp.f64 (.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 1/12 (pow.f64 x 4))) (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) 1) (.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) (cbrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/360 (pow.f64 x 6)) 3) (pow.f64 (.f64 1/20160 (pow.f64 x 8)) 3)) (fma.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/360 (pow.f64 x 6)) (-.f64 (.f64 (pow.f64 x 16) 1/406425600) (.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/360 (pow.f64 x 6))) (.f64 (pow.f64 x 16) 1/406425600)) (-.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160) (exp.f64 (.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/20160 (pow.f64 x 8)))) (exp.f64 (.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 1/360 (pow.f64 x 6))) (+.f64 1 (expm1.f64 (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/20160 (pow.f64 x 8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/20160 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/20160 (pow.f64 x 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/20160 (pow.f64 x 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 4) (sqrt.f64 1/20160)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 16) 1/406425600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/20160 (pow.f64 x 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 8 (log.f64 x) (log.f64 1/20160)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 8 (log.f64 x) (log.f64 1/20160)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) 1) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))) (cbrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 3)) (fma.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4)) (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 2) (*.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 2)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) (exp.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) (exp.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/12 (pow.f64 x 4))) (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/360 (pow.f64 x 6)) 1) (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) (cbrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) (pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 3)) (fma.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/360 (pow.f64 x 6)) (-.f64 (*.f64 (pow.f64 x 16) 1/406425600) (*.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 (pow.f64 x 16) 1/406425600)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160) (exp.f64 (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8)))) (exp.f64 (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/360 (pow.f64 x 6))) (+.f64 1 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/20160 (pow.f64 x 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 1/20160)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 16) 1/406425600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 8)) 1/20160))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 8 (log.f64 x) (log.f64 1/20160)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 8 (log.f64 x) (log.f64 1/20160)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/20160 (pow.f64 x 8))))))))

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

920×	`fma-def_binary64`
472×	`unswap-sqr_binary64`
394×	`*-commutative_binary64`
369×	`sqr-pow_binary64`
245×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	336
1	40	336
2	84	336
3	214	336
4	732	336
5	1609	336
6	3019	336
7	3346	336
8	3531	336
9	3736	336
10	4011	336
11	4367	336
12	4776	336

Stop Event

1×	node limit

Counts

99 → 83

Calls

Call 1

Inputs
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))

Outputs
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/360 (.f64 x x) 1/12))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/12 (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/360) (fma.f64 (pow.f64 x 4) 1/20160 1/12)))
(.f64 (pow.f64 x 4) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/20160) 1/360) 1/12))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/12 (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/360) (fma.f64 (pow.f64 x 4) 1/20160 1/12)))
(.f64 (pow.f64 x 4) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/20160) 1/360) 1/12))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/12 (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/360) (fma.f64 (pow.f64 x 4) 1/20160 1/12)))
(.f64 (pow.f64 x 4) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/20160) 1/360) 1/12))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/12 (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/360) (fma.f64 (pow.f64 x 4) 1/20160 1/12)))
(.f64 (pow.f64 x 4) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/20160) 1/360) 1/12))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/12 (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/360) (fma.f64 (pow.f64 x 4) 1/20160 1/12)))
(.f64 (pow.f64 x 4) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/20160) 1/360) 1/12))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/20160 1/12) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/12 (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 1/360) (fma.f64 (pow.f64 x 4) 1/20160 1/12)))
(.f64 (pow.f64 x 4) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x 1/20160) 1/360) 1/12))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))
(.f64 (pow.f64 x 6) (fma.f64 x (.f64 x 1/20160) 1/360))

prune99.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Error

0.0b

Counts

86 → 3

Alt Table

Status

Error

Program

▶

29.9b

(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))

✓

0.3b

(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))

✓

30.0b

(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 2091 to 1594 computations (23.8% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))))
✓	0.0b	(pow.f64 (exp.f64 x) 2)
✓	0.1b	(pow.f64 (exp.f64 x) 3)
✓	5.8b	(+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))

series9.0ms (0.2%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
2.0ms	x	@	-inf	(.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))))
1.0ms	x	@	-inf	(+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
1.0ms	x	@	0	(+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
1.0ms	x	@	inf	(.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))))

rewrite45.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

187×	`add-sqr-sqrt_binary64`
182×	`pow1_binary64`
180×	`*-un-lft-identity_binary64`
179×	`add-log-exp_binary64`
178×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	67
1	381	61

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

Inputs
(+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(pow.f64 (exp.f64 x) 3)
(pow.f64 (exp.f64 x) 2)
(.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (-.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)))) (/.f64 (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 2) (-.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))) 2)) (cbrt.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)))) (sqrt.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 3) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (-.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 2)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (-.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))))) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 3) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4))) (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 3) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (-.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 2)) (-.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 3) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (-.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 2))) (neg.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (+.f64 (fma.f64 (exp.f64 x) 2 4) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4))) 3)) (+.f64 (pow.f64 (exp.f64 x) 4) (-.f64 (.f64 (+.f64 (fma.f64 (exp.f64 x) 2 4) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4))) (+.f64 (fma.f64 (exp.f64 x) 2 4) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)))) (.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (fma.f64 (exp.f64 x) 2 4) (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 3) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 3)) (+.f64 (pow.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) 2) (-.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4)) 2) (.f64 (+.f64 (.f64 -8 (exp.f64 x)) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (.f64 (+.f64 (fma.f64 (exp.f64 x) 2 4) (+.f64 (.f64 -8 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simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

479×	`distribute-lft-out_binary64`
466×	`associate-l_binary64`
462×	`distribute-rgt-out_binary64`
409×	`unswap-sqr_binary64`
357×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	582
1	185	560
2	481	476
3	1510	475
4	3386	475

Stop Event

1×	node limit

Counts

152 → 153

Calls

Call 1

Inputs
(*.f64 7 (pow.f64 x 2))
(+.f64 (.f64 11 (pow.f64 x 3)) (.f64 7 (pow.f64 x 2)))
(+.f64 (.f64 133/12 (pow.f64 x 4)) (+.f64 (.f64 11 (pow.f64 x 3)) (*.f64 7 (pow.f64 x 2))))
(+.f64 (.f64 133/12 (pow.f64 x 4)) (+.f64 (.f64 11 (pow.f64 x 3)) (+.f64 (.f64 35/4 (pow.f64 x 5)) (.f64 7 (pow.f64 x 2)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (.f64 3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (.f64 3 x) (+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
7
(+.f64 7 (*.f64 11 x))
(+.f64 7 (+.f64 (.f64 11 x) (.f64 21/2 (pow.f64 x 2))))
(+.f64 7 (+.f64 (.f64 11 x) (+.f64 (.f64 21/2 (pow.f64 x 2)) (*.f64 47/6 (pow.f64 x 3)))))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))

Outputs
(*.f64 7 (pow.f64 x 2))
(.f64 7 (.f64 x x))
(+.f64 (.f64 11 (pow.f64 x 3)) (.f64 7 (pow.f64 x 2)))
(fma.f64 11 (pow.f64 x 3) (.f64 7 (.f64 x x)))
(fma.f64 7 (.f64 x x) (.f64 11 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x 11 7))
(.f64 x (.f64 x (fma.f64 x 11 7)))
(+.f64 (.f64 133/12 (pow.f64 x 4)) (+.f64 (.f64 11 (pow.f64 x 3)) (*.f64 7 (pow.f64 x 2))))
(fma.f64 133/12 (pow.f64 x 4) (fma.f64 11 (pow.f64 x 3) (.f64 7 (.f64 x x))))
(fma.f64 133/12 (pow.f64 x 4) (fma.f64 7 (.f64 x x) (.f64 11 (pow.f64 x 3))))
(fma.f64 133/12 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 11 7)))
(fma.f64 133/12 (pow.f64 x 4) (.f64 x (.f64 x (fma.f64 x 11 7))))
(+.f64 (.f64 133/12 (pow.f64 x 4)) (+.f64 (.f64 11 (pow.f64 x 3)) (+.f64 (.f64 35/4 (pow.f64 x 5)) (.f64 7 (pow.f64 x 2)))))
(fma.f64 133/12 (pow.f64 x 4) (fma.f64 11 (pow.f64 x 3) (fma.f64 35/4 (pow.f64 x 5) (.f64 7 (.f64 x x)))))
(fma.f64 133/12 (pow.f64 x 4) (fma.f64 35/4 (pow.f64 x 5) (.f64 (.f64 x x) (fma.f64 x 11 7))))
(fma.f64 133/12 (pow.f64 x 4) (fma.f64 35/4 (pow.f64 x 5) (.f64 x (.f64 x (fma.f64 x 11 7)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) 3) 8)))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
(+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 8) (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (fma.f64 2 (exp.f64 x) (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(+.f64 4 (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) (+.f64 2 (+.f64 (pow.f64 (exp.f64 x) 3) -8)))))
(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
(+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 (exp.f64 (.f64 x 3)) -6))))
(+.f64 4 (+.f64 (pow.f64 (exp.f64 x) 4) (*.f64 (exp.f64 x) (+.f64 -6 (exp.f64 x)))))
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (.f64 3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 3 x 1) (.f64 (.f64 x x) 9/2))
(fma.f64 x 3 (fma.f64 (*.f64 x x) 9/2 1))
(fma.f64 x 3 (fma.f64 x (*.f64 x 9/2) 1))
(fma.f64 x (*.f64 x 9/2) (fma.f64 x 3 1))
(+.f64 (.f64 3 x) (+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 3 x 1) (.f64 9/2 (+.f64 (pow.f64 x 3) (.f64 x x))))
(fma.f64 x 3 (fma.f64 9/2 (.f64 x (+.f64 (.f64 x x) x)) 1))
(fma.f64 x 3 (fma.f64 9/2 (*.f64 x (fma.f64 x x x)) 1))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 (pow.f64 x 3) 4/3 (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)))
(fma.f64 (pow.f64 x 3) 4/3 (fma.f64 2 (fma.f64 x x x) 1))
7
(+.f64 7 (*.f64 11 x))
(+.f64 7 (*.f64 x 11))
(fma.f64 x 11 7)
(+.f64 7 (+.f64 (.f64 11 x) (.f64 21/2 (pow.f64 x 2))))
(+.f64 7 (fma.f64 11 x (.f64 (.f64 x x) 21/2)))
(+.f64 (fma.f64 x 11 7) (.f64 x (.f64 x 21/2)))
(fma.f64 x (*.f64 x 21/2) (fma.f64 x 11 7))
(+.f64 7 (+.f64 (.f64 11 x) (+.f64 (.f64 21/2 (pow.f64 x 2)) (*.f64 47/6 (pow.f64 x 3)))))
(+.f64 7 (fma.f64 11 x (fma.f64 21/2 (.f64 x x) (.f64 (pow.f64 x 3) 47/6))))
(+.f64 7 (fma.f64 x 11 (fma.f64 (.f64 x x) 21/2 (.f64 (pow.f64 x 3) 47/6))))
(+.f64 7 (fma.f64 (pow.f64 x 3) 47/6 (.f64 x (+.f64 (.f64 x 21/2) 11))))
(+.f64 7 (.f64 x (+.f64 11 (.f64 x (+.f64 21/2 (*.f64 x 47/6))))))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(.f64 (+.f64 4 (+.f64 (.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (exp.f64 x))
(*.f64 (exp.f64 x) (+.f64 4 (fma.f64 2 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))

prune228.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	178	2	180

Error

0.0b

Counts

180 → 2

Alt Table

Status

Error

Program

✓

0.3b

(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))

▶

29.9b

(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (fma.f64 (exp.f64 x) 2 4) 2)) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))))

Compiler

Compiled 7562 to 4707 computations (37.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fma.f64 (exp.f64 x) 2 4) 2)
	0.1b	(pow.f64 (exp.f64 x) 3)
✓	0.1b	(pow.f64 (exp.f64 x) 4)
	5.8b	(+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))

series7.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (fma.f64 (exp.f64 x) 2 4) 2)
1.0ms	x	@	-inf	(pow.f64 (fma.f64 (exp.f64 x) 2 4) 2)
1.0ms	x	@	inf	(pow.f64 (exp.f64 x) 4)
1.0ms	x	@	-inf	(pow.f64 (exp.f64 x) 4)
1.0ms	x	@	0	(pow.f64 (exp.f64 x) 4)

rewrite35.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`pow1_binary64`
581×	`add-log-exp_binary64`
581×	`log1p-expm1-u_binary64`
581×	`expm1-log1p-u_binary64`
74×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	163	16
2	1694	16

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(pow.f64 (exp.f64 x) 4)
(pow.f64 (fma.f64 (exp.f64 x) 2 4) 2)

Outputs

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

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1030×	`fma-def_binary64`
297×	`unswap-sqr_binary64`
270×	`*-commutative_binary64`
207×	`distribute-rgt-out_binary64`
190×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	180
1	85	160
2	199	154
3	584	142
4	1556	136
5	2846	136
6	3604	136
7	3993	136
8	4883	136

Stop Event

1×	node limit

Counts

50 → 50

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 4 x))
(+.f64 1 (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 4 x)))
(+.f64 1 (+.f64 (.f64 32/3 (pow.f64 x 3)) (+.f64 (.f64 8 (pow.f64 x 2)) (*.f64 4 x))))
36
(+.f64 (*.f64 24 x) 36)
(+.f64 (.f64 24 x) (+.f64 36 (.f64 16 (pow.f64 x 2))))
(+.f64 (.f64 24 x) (+.f64 36 (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 16 (pow.f64 x 2)))))
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)

Outputs
1
(+.f64 1 (*.f64 4 x))
(fma.f64 4 x 1)
(+.f64 1 (+.f64 (.f64 8 (pow.f64 x 2)) (.f64 4 x)))
(+.f64 1 (fma.f64 8 (.f64 x x) (.f64 4 x)))
(+.f64 1 (fma.f64 4 x (.f64 x (.f64 x 8))))
(fma.f64 4 x (fma.f64 x (*.f64 x 8) 1))
(fma.f64 x (fma.f64 x 8 4) 1)
(+.f64 1 (+.f64 (.f64 32/3 (pow.f64 x 3)) (+.f64 (.f64 8 (pow.f64 x 2)) (*.f64 4 x))))
(+.f64 1 (fma.f64 32/3 (pow.f64 x 3) (fma.f64 8 (.f64 x x) (.f64 4 x))))
(+.f64 (fma.f64 32/3 (pow.f64 x 3) (.f64 x (.f64 x 8))) (fma.f64 4 x 1))
(fma.f64 32/3 (pow.f64 x 3) (fma.f64 4 x (fma.f64 x (*.f64 x 8) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x 32/3 8) (fma.f64 4 x 1))
(fma.f64 x (fma.f64 x (fma.f64 x 32/3 8) 4) 1)
36
(+.f64 (*.f64 24 x) 36)
(fma.f64 24 x 36)
(fma.f64 x 24 36)
(+.f64 (.f64 24 x) (+.f64 36 (.f64 16 (pow.f64 x 2))))
(+.f64 (fma.f64 24 x 36) (.f64 (.f64 x x) 16))
(fma.f64 x 24 (fma.f64 (*.f64 x x) 16 36))
(fma.f64 x 24 (fma.f64 x (*.f64 x 16) 36))
(fma.f64 x (fma.f64 x 16 24) 36)
(+.f64 (.f64 24 x) (+.f64 36 (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 16 (pow.f64 x 2)))))
(+.f64 (fma.f64 24 x 36) (fma.f64 8 (pow.f64 x 3) (.f64 (.f64 x x) 16)))
(+.f64 (fma.f64 8 (pow.f64 x 3) (.f64 x (.f64 x 16))) (fma.f64 x 24 36))
(fma.f64 x 24 (fma.f64 x (*.f64 x 16) (fma.f64 8 (pow.f64 x 3) 36)))
(fma.f64 x 24 (fma.f64 (*.f64 x x) (fma.f64 x 8 16) 36))
(fma.f64 x (fma.f64 x (fma.f64 x 8 16) 24) 36)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)
(pow.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) 2)
(pow.f64 (fma.f64 2 (exp.f64 x) 4) 2)

prune177.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	2	133

Error

0.0b

Counts

133 → 2

Alt Table

Status

Error

Program

✓

0.3b

(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))

✓

29.9b

(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (fma.f64 (exp.f64 x) 2 4) 2)) (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) 2 4))))

Compiler

Compiled 7257 to 4622 computations (36.3% saved)

regimes21.0ms (0.4%)

Accuracy

Total -30.0b remaining (-6828%)

Threshold costs -30.0b (-6828%)

Counts

17 → 1

Compiler

Compiled 420 to 270 computations (35.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	16	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))

Outputs
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/20160 (pow.f64 x 8)))))

end63.0ms (1.1%)

Stop Event

1×

done

Compiler

Compiled 104 to 72 computations (30.8% saved)

Details

analyze4.0ms (0.1%)

sample4.6s (79.3%)

preprocess37.0ms (0.6%)

simplify24.0ms (0.4%)

prune8.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite45.0ms (0.8%)

simplify27.0ms (0.5%)

prune105.0ms (1.8%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite52.0ms (0.9%)

simplify69.0ms (1.2%)

prune99.0ms (1.7%)

localize21.0ms (0.4%)

series9.0ms (0.2%)

rewrite45.0ms (0.8%)

simplify41.0ms (0.7%)

prune228.0ms (3.9%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

rewrite35.0ms (0.6%)

simplify45.0ms (0.8%)

prune177.0ms (3%)

regimes21.0ms (0.4%)

simplify2.0ms (0%)

end63.0ms (1.1%)

Profiling