Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample1.6s (48.1%)

Results

1.6s	8256×	body	128	valid
0.0ms	1×	body	128	invalid

preprocess31.0ms (1%)

Algorithm

2×	egg-herbie

Rules

642×	`distribute-lft-out_binary64`
588×	`associate-/l*_binary64`
406×	`associate-/r*_binary64`
400×	`*-commutative_binary64`
244×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	74	59
2	251	41
3	1208	37
4	2394	37
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Outputs
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 1/5 (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 1/21 (.f64 (fabs.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))))))
(fabs.f64 (/.f64 (fma.f64 1/21 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) 3))) (fma.f64 1/5 (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) 3)) (.f64 (fabs.f64 x) (+.f64 2 (.f64 (*.f64 2/3 x) x))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (.f64 (fabs.f64 x) (+.f64 (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 4) (*.f64 1/21 (pow.f64 (fabs.f64 x) 6))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Compiler

Compiled 68 to 31 computations (54.4% saved)

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

642×	`distribute-lft-out_binary64`
588×	`associate-/l*_binary64`
406×	`associate-/r*_binary64`
400×	`*-commutative_binary64`
244×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	74	59
2	251	41
3	1208	37
4	2394	37

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Outputs
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (.f64 x x)))) (.f64 1/5 (.f64 (fabs.f64 x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 1/21 (.f64 (fabs.f64 x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))))))
(fabs.f64 (/.f64 (fma.f64 1/21 (.f64 (.f64 x x) (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) 3))) (fma.f64 1/5 (.f64 (.f64 x x) (pow.f64 (fabs.f64 x) 3)) (.f64 (fabs.f64 x) (+.f64 2 (.f64 (*.f64 2/3 x) x))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (/.f64 (.f64 (fabs.f64 x) (+.f64 (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 4) (*.f64 1/21 (pow.f64 (fabs.f64 x) 6))))) (sqrt.f64 (PI.f64))))
(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

prune5.0ms (0.2%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
	0.5b	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Status

Error

Program

▶

0.1b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

0.5b

(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Compiler

Compiled 278 to 149 computations (46.4% saved)

localize27.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
✓	0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
✓	0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
✓	1.0b	(sqrt.f64 (PI.f64))

series16.0ms (0.5%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
4.0ms	x	@	0	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
3.0ms	x	@	inf	(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
1.0ms	x	@	-inf	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0ms	x	@	inf	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))

rewrite41.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`add-sqr-sqrt_binary64`
277×	`*-un-lft-identity_binary64`
277×	`pow1_binary64`
276×	`add-cbrt-cube_binary64`
274×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	80
1	619	80

Stop Event

1×	node limit

Counts

4 → 32

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fabs.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fabs.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fabs.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (fabs.f64 x) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)))) (/.f64 1 (sqrt.f64 (PI.f64)))) (.f64 (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))) (/.f64 1 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))))) (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64))) (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64)))) (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (.f64 x x))))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (fma.f64 2 (fabs.f64 x) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (+.f64 (.f64 1/5 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x))) (.f64 1/21 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (.f64 x x)) (*.f64 x x))))) (sqrt.f64 (PI.f64)))))))))

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1881×	`fma-def_binary64`
570×	`associate-l_binary64`
420×	`associate-r_binary64`
213×	`sqr-pow_binary64`
198×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	684
1	57	684
2	138	684
3	428	660
4	1142	660
5	3335	660
6	3716	660
7	3813	660
8	3944	660
9	4142	660
10	4433	660

Stop Event

1×	node limit

Counts

68 → 35

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))

Outputs
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (fma.f64 2/3 (pow.f64 (fabs.f64 x) 3) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) 2 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 (fabs.f64 x) (fma.f64 2/3 (.f64 x x) 2) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))

prune85.0ms (2.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Error

Counts

51 → 3

Alt Table

Status	Error	Program
	1.4b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3))) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))
▶	0.1b	(fabs.f64 (.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64)))))
	0.5b	(fabs.f64 (.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Status

Error

Program

1.4b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3))) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

▶

0.1b

(fabs.f64 (*.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64)))))

0.5b

(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Compiler

Compiled 3318 to 1444 computations (56.5% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2))
✓	0.0b	(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2)))
✓	0.1b	(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
✓	0.4b	(*.f64 2/3 x)

series8.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
1.0ms	x	@	-inf	(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
1.0ms	x	@	0	(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
1.0ms	x	@	0	(*.f64 2/3 x)
0.0ms	x	@	-inf	(*.f64 2/3 x)

rewrite63.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`add-sqr-sqrt_binary64`
196×	`add-log-exp_binary64`
196×	`log1p-expm1-u_binary64`
196×	`expm1-log1p-u_binary64`
194×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	79
1	438	64
2	4883	64

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(*.f64 2/3 x)
(.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2)))
(.f64 (fabs.f64 x) (fma.f64 x (.f64 2/3 x) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2/3 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/5 (pow.f64 x 5)) (pow.f64 (PI.f64) -1/2)) (.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) -1/2) (.f64 1/5 (pow.f64 x 5))) (.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 1 (PI.f64)) 3/2) (pow.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) (.f64 1/21 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) 1) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 2) (cbrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) (sqrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/21 (pow.f64 x 7)) 3) (pow.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) 3)) (+.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 1/21 (pow.f64 x 7))) (-.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) 2) (.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (fma.f64 x (.f64 2/3 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 1/21 (pow.f64 x 7))) (pow.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) 2)) (-.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (fma.f64 x (.f64 2/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 2/3 x)) x) (.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (.f64 2/3 x))) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (.f64 2/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (.f64 2/3 x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 2/3 x) 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (.f64 2/3 x) 2))) 1))))))

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1224×	`fma-def_binary64`
430×	`sqr-pow_binary64`
322×	`*-commutative_binary64`
225×	`unswap-sqr_binary64`
203×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	1035
1	71	972
2	171	750
3	523	669
4	1395	669
5	2602	669
6	3046	669
7	3196	669
8	3369	669
9	3585	669
10	3894	669
11	4494	669

Stop Event

1×	node limit

Counts

107 → 87

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64)))) (.f64 2/3 (.f64 (*.f64 (fabs.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (PI.f64))))))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (.f64 2 (fabs.f64 x)))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(*.f64 2 (fabs.f64 x))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))

Outputs
(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
(.f64 (fma.f64 x 2 (fma.f64 1/21 (pow.f64 x 7) (.f64 1/5 (pow.f64 x 5)))) (sqrt.f64 (/.f64 1 (PI.f64))))
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(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3)))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3)))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3)))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))
(.f64 x (.f64 x (*.f64 x 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3)))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3)))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))
(+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))))
(fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3)))))
(fma.f64 1/21 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 2/3) 2)))
(*.f64 2 (fabs.f64 x))
(*.f64 (fabs.f64 x) 2)
(*.f64 x 2)
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))
(.f64 x (.f64 x (*.f64 x 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(.f64 2/3 (.f64 (fabs.f64 x) (pow.f64 x 2)))
(.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x)))
(.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3))
(.f64 x (.f64 x (*.f64 x 2/3)))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))
(+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (*.f64 (fabs.f64 x) (pow.f64 x 2))))
(fma.f64 2 (fabs.f64 x) (.f64 2/3 (.f64 (fabs.f64 x) (*.f64 x x))))
(fma.f64 (fabs.f64 x) 2 (.f64 (fabs.f64 x) (.f64 (*.f64 x x) 2/3)))
(.f64 x (+.f64 2 (.f64 x (*.f64 x 2/3))))
(.f64 x (fma.f64 x (.f64 x 2/3) 2))

prune106.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Error

Counts

90 → 3

Alt Table

Status

Error

Program

1.4b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3))) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

✓

0.1b

(fabs.f64 (*.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64)))))

▶

0.5b

(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Compiler

Compiled 2680 to 1930 computations (28% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
✓	0.1b	(*.f64 1/21 (pow.f64 x 6))
✓	0.3b	(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
	1.0b	(sqrt.f64 (PI.f64))

series5.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/21 (pow.f64 x 6))
1.0ms	x	@	0	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
1.0ms	x	@	0	(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
1.0ms	x	@	inf	(*.f64 1/21 (pow.f64 x 6))
0.0ms	x	@	-inf	(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))

rewrite50.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`log-prod_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
185×	`log-pow_binary64`
142×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	300	28
2	3455	28

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
(*.f64 1/21 (pow.f64 x 6))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/21 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6))) (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/21 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 1/21) (*.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/21) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 1/441))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/21 (pow.f64 x 6))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/21 (pow.f64 x 6)) (*.f64 1/5 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/5 (pow.f64 x 4)) 1) (*.f64 1/21 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/5 (pow.f64 x 4)) 3) (pow.f64 (*.f64 1/21 (pow.f64 x 6)) 3)) (fma.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/5 (pow.f64 x 4)) (-.f64 (*.f64 (pow.f64 x 12) 1/441) (*.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/5 (pow.f64 x 4))) (*.f64 (pow.f64 x 12) 1/441)) (-.f64 (*.f64 1/5 (pow.f64 x 4)) (*.f64 1/21 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/21) (pow.f64 x 6)) (exp.f64 (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6)))) (exp.f64 (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/5 (pow.f64 x 4))) (+.f64 1 (expm1.f64 (*.f64 1/21 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/21 (pow.f64 x 6) (*.f64 1/5 (pow.f64 x 4)))) 1))))))

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Rules

518×	`sqr-pow_binary64`
487×	`associate-l_binary64`
467×	`unswap-sqr_binary64`
440×	`fma-def_binary64`
300×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	291
1	32	291
2	56	291
3	123	267
4	399	267
5	1478	267
6	2932	267
7	3281	267
8	3564	267
9	3846	267
10	4213	267
11	4692	267

Stop Event

1×	node limit

Counts

105 → 86

Calls

Call 1

Inputs
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 1/5 (pow.f64 x 4))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 x 6))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(*.f64 1/21 (pow.f64 x 6))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))

Outputs
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (fabs.f64 x) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 1/5 (pow.f64 x 4))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(*.f64 1/21 (pow.f64 x 6))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(*.f64 1/21 (pow.f64 x 6))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))
(+.f64 (.f64 1/5 (pow.f64 x 4)) (.f64 1/21 (pow.f64 x 6)))
(fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 1/21 (.f64 x x) 1/5))

prune98.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Error

Counts

99 → 3

Alt Table

Status

Error

Program

▶

1.4b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3))) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

✓

0.1b

(fabs.f64 (*.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64)))))

✓

0.5b

(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Compiler

Compiled 2949 to 1876 computations (36.4% saved)

localize32.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3))
	0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
	1.0b	(sqrt.f64 (PI.f64))
✓	13.4b	(cbrt.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3)))

series6.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(cbrt.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3)))
1.0ms	x	@	-inf	(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3))
1.0ms	x	@	inf	(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3))
1.0ms	x	@	0	(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3))
0.0ms	x	@	inf	(cbrt.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3)))

rewrite33.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`pow1_binary64`
482×	`add-log-exp_binary64`
482×	`log1p-expm1-u_binary64`
482×	`expm1-log1p-u_binary64`
466×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	168	8
2	1687	8

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3)))
(*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 12))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 x 9)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 x 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 9) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 9) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 6))))))

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

611×	`sqr-pow_binary64`
566×	`unswap-sqr_binary64`
466×	`associate-l_binary64`
336×	`*-commutative_binary64`
303×	`associate-r_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	7	144
1	17	144
2	39	144
3	106	144
4	392	120
5	1372	120
6	2514	120
7	2640	120
8	2846	96
9	3144	96
10	3458	96
11	3882	96
12	4429	96

Stop Event

1×	node limit

Counts

65 → 43

Calls

Call 1

Inputs
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 (fabs.f64 x) 6)

Outputs
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 3)
(pow.f64 x 3)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)
(pow.f64 (fabs.f64 x) 6)
(pow.f64 x 6)

prune105.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Error

Counts

63 → 3

Alt Table

Status

Error

Program

✓

1.4b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fabs.f64 x) 3)) (pow.f64 (fabs.f64 x) 3))) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

✓

0.1b

(fabs.f64 (*.f64 (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 1/21 (pow.f64 (fabs.f64 x) 7) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 2/3 x) 2)))) (sqrt.f64 (/.f64 1 (PI.f64)))))

✓

0.5b

(fabs.f64 (*.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 1/5 (pow.f64 x 4) (*.f64 1/21 (pow.f64 x 6))) (fma.f64 2/3 (*.f64 x x) 2))))

Compiler

Compiled 4277 to 2010 computations (53% saved)

regimes513.0ms (15.7%)

Accuracy

Total 0.1b remaining (88.1%)

Threshold costs 0.1b (88.1%)

Counts

115 → 1

Compiler

Compiled 5812 to 2917 computations (49.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	75
1	36	75

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fabs.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (*.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 x x))))) (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 1/21 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 x x)) (*.f64 x x))))))

Outputs

(fabs.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (*.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 x x))))) (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 1/21 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 x x)) (*.f64 x x))))))

(fabs.f64 (+.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 1/5 (*.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 x x))))) (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (*.f64 1/21 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 x x)))))))

end126.0ms (3.9%)

Stop Event

1×

done

Compiler

Compiled 224 to 145 computations (35.3% saved)

Details

analyze5.0ms (0.2%)

sample1.6s (48.1%)

preprocess31.0ms (1%)

simplify21.0ms (0.6%)

prune5.0ms (0.2%)

localize27.0ms (0.8%)

series16.0ms (0.5%)

rewrite41.0ms (1.3%)

simplify81.0ms (2.5%)

prune85.0ms (2.6%)

localize17.0ms (0.5%)

series8.0ms (0.2%)

rewrite63.0ms (1.9%)

simplify81.0ms (2.5%)

prune106.0ms (3.2%)

localize14.0ms (0.4%)

series5.0ms (0.2%)

rewrite50.0ms (1.5%)

simplify66.0ms (2%)

prune98.0ms (3%)

localize32.0ms (1%)

series6.0ms (0.2%)

rewrite33.0ms (1%)

simplify58.0ms (1.8%)

prune105.0ms (3.2%)

regimes513.0ms (15.7%)

simplify2.0ms (0.1%)

end126.0ms (3.9%)

Profiling