Details

analyze1.2s (16%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	47%	50%	13
3.1%	46.9%	50%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.8s (49.6%)

Results

2.3s	4099×	body	2048	valid
920.0ms	2120×	body	1024	valid
332.0ms	1048×	body	512	valid
111.0ms	488×	body	256	valid
66.0ms	501×	body	128	valid
1.0ms	13×	body	128	invalid

preprocess34.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

685×	`div-sub_binary64`
303×	`associate-/r*_binary64`
302×	`fma-def_binary64`
296×	`fma-neg_binary64`
220×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	31	19
2	76	17
3	215	17
4	640	17
5	1828	17
6	4394	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

685×	`div-sub_binary64`
303×	`associate-/r*_binary64`
302×	`fma-def_binary64`
296×	`fma-neg_binary64`
220×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	31	19
2	76	17
3	215	17
4	640	17
5	1828	17
6	4394	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 -5 (.f64 v v))) (fma.f64 v v -1)))
(acos.f64 (/.f64 (+.f64 1 (.f64 (.f64 v v) -5)) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 53 to 36 computations (32.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
0.0ms	v	@	-inf	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
0.0ms	v	@	inf	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
93×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	199	17
2	2331	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

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

Outputs

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

simplify35.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary64`
343×	`div-sub_binary64`
335×	`fma-def_binary64`
247×	`sub-neg_binary64`
215×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	204
1	17	204
2	24	204
3	33	204
4	51	204
5	92	204
6	174	204
7	384	204
8	782	204
9	2473	204
10	4586	204

Stop Event

1×	node limit

Counts

34 → 24

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))

Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

prune29.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	3	25

Error

0.4b

Counts

25 → 3

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	1.9b	(.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))
	0.4b	(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)

Status

Error

Program

▶

0.4b

(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

1.9b

(*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))

0.4b

(-.f64 (exp.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1)

Compiler

Compiled 724 to 526 computations (27.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	1.0b	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
✓	1.0b	(pow.f64 (*.f64 (PI.f64) 1/2) 3)
✓	2.4b	(+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))

series14.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.0ms	v	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.0ms	v	@	inf	(+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
2.0ms	v	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.0ms	v	@	-inf	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

258×	`add-sqr-sqrt_binary64`
250×	`pow1_binary64`
248×	`*-un-lft-identity_binary64`
242×	`add-cbrt-cube_binary64`
241×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	156
1	527	154

Stop Event

1×	node limit

Counts

4 → 64

Calls

Call 1

Inputs
(+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (*.f64 (PI.f64) 1/2) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))) (cbrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))))) (cbrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))) (sqrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) 3) (pow.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) 3)) (fma.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (-.f64 (.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (exp.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) (exp.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) (.f64 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))) (cbrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) (sqrt.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (sqrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 (PI.f64) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 1/2) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8)) (sqrt.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 1/2) 3/2) (pow.f64 (.f64 (PI.f64) 1/2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (.f64 (pow.f64 (PI.f64) 3) 1/8)) (.f64 (pow.f64 (PI.f64) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8)))))))
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egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))))))

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1033×	`fma-def_binary64`
340×	`associate-/l*_binary64`
291×	`associate-/r*_binary64`
224×	`*-commutative_binary64`
173×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	1776
1	75	1776
2	164	1752
3	423	1704
4	1390	1704
5	4067	1704

Stop Event

1×	node limit

Counts

100 → 70

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))

Outputs
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)
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(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (.f64 1/2 (PI.f64)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2))))

prune195.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Error

0.4b

Counts

73 → 3

Alt Table

Status

Error

Program

✓

0.4b

(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (+.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (*.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

1.9b

(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))

▶

1.4b

(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/2)) (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)))))

Compiler

Compiled 5957 to 4356 computations (26.9% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
✓	1.0b	(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
	1.0b	(pow.f64 (*.f64 (PI.f64) 1/2) 3)
✓	56.9b	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)))

series28.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	v	@	inf	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)))
5.0ms	v	@	-inf	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)))
5.0ms	v	@	0	(fma.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)))
0.0ms	v	@	0	(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))
0.0ms	v	@	-inf	(.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`prod-diff_binary64`
180×	`add-sqr-sqrt_binary64`
173×	`pow1_binary64`
171×	`*-un-lft-identity_binary64`
168×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	381	65
2	4292	65

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs

(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)))

(*.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))

Outputs

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

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

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
435×	`fma-def_binary64`
408×	`unswap-sqr_binary64`
252×	`associate-l_binary64`
219×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	792
1	45	792
2	77	780
3	147	756
4	328	756
5	979	756
6	1964	756
7	2298	756
8	2857	756
9	4770	756

Stop Event

1×	node limit

Counts

62 → 41

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)

Outputs
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(+.f64 (.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 2))
(fma.f64 1/2 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (PI.f64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))))
(.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 4) 1/3)
(cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4))

prune177.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	67	4	71

Error

0.4b

Counts

71 → 4

Alt Table

Status	Error	Program
	2.9b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 2) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))
✓	0.4b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
▶	1.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
	2.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (fma.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))

Compiler

Compiled 6365 to 4723 computations (25.8% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))
	1.0b	(pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	2.4b	(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))

series24.0ms (0.3%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	v	@	0	(cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))
4.0ms	v	@	inf	(cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))
4.0ms	v	@	-inf	(cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))
0.0ms	v	@	0	(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))
0.0ms	v	@	inf	(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2))

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`add-sqr-sqrt_binary64`
247×	`pow1_binary64`
244×	`*-un-lft-identity_binary64`
243×	`add-cbrt-cube_binary64`
241×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	114
1	544	110

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs

(+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2))

(pow.f64 (PI.f64) 3)

(cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (*.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3))) (cbrt.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v 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log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 (pow.f64 (PI.f64) 2) 1/4))))))))))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-def_binary64`
624×	`associate-l_binary64`
614×	`unswap-sqr_binary64`
241×	`associate-/l*_binary64`
215×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	1308
1	70	1260
2	149	1260
3	356	1260
4	1048	1260
5	3736	1260

Stop Event

1×	node limit

Counts

76 → 55

Calls

Call 1

Inputs
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)

Outputs
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))
(fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))
(pow.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (.f64 (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64))) (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))) 1/3)
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 1/4 (pow.f64 (PI.f64) 2) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 1/2 (PI.f64)))))))
(cbrt.f64 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 1/2 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (*.f64 1/4 (pow.f64 (PI.f64) 2)))))

prune819.0ms (10.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	205	2	207
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	205	6	211

Error

0.4b

Counts

211 → 6

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (pow.f64 (PI.f64) 2) 1/4))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (pow.f64 (PI.f64) 2) 1/4))))))) (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
	2.9b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) 2) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))
✓	0.4b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (+.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	1.9b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
	2.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) (cbrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
	2.7b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (log1p.f64 (expm1.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 3)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (fma.f64 (.f64 (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (.f64 (PI.f64) 1/2)))))

Compiler

Compiled 37345 to 27543 computations (26.2% saved)

regimes245.0ms (3.2%)

Accuracy

Total 0.0b remaining (1.9%)

Threshold costs 0.0b (1.9%)

Counts

79 → 1

Compiler

Compiled 6197 to 4550 computations (26.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	39	88
2	42	88
3	44	88
4	45	88

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 1/2 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))

Outputs

(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 1/2 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) (PI.f64))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2))))

(/.f64 (-.f64 (*.f64 1/8 (pow.f64 (PI.f64) 3)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)) (+.f64 (*.f64 1/2 (*.f64 (PI.f64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (*.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))))

end536.0ms (7%)

Stop Event

1×

fuel

Compiler

Compiled 943 to 706 computations (25.1% saved)

Details

analyze1.2s (16%)

sample3.8s (49.6%)

preprocess34.0ms (0.5%)

simplify26.0ms (0.3%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite40.0ms (0.5%)

simplify35.0ms (0.5%)

prune29.0ms (0.4%)

localize20.0ms (0.3%)

series14.0ms (0.2%)

rewrite50.0ms (0.7%)

simplify75.0ms (1%)

prune195.0ms (2.6%)

localize21.0ms (0.3%)

series28.0ms (0.4%)

rewrite61.0ms (0.8%)

simplify73.0ms (1%)

prune177.0ms (2.3%)

localize23.0ms (0.3%)

series24.0ms (0.3%)

rewrite39.0ms (0.5%)

simplify52.0ms (0.7%)

prune819.0ms (10.7%)

regimes245.0ms (3.2%)

simplify4.0ms (0%)

end536.0ms (7%)

Profiling