Details

analyze643.0ms (5.2%)

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample5.4s (44.3%)

Results

2.5s	3992×	body	2048	valid
1.4s	8469×	body	256	invalid
957.0ms	2148×	body	1024	valid
316.0ms	1054×	body	512	valid
180.0ms	1061×	body	256	valid
1.0ms	1×	body	4096	valid

preprocess86.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

685×	`div-sub_binary64`
548×	`sub-neg_binary64`
306×	`associate-/r*_binary64`
302×	`fma-def_binary64`
296×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	31	19
2	76	17
3	215	17
4	638	17
5	1818	17
6	4420	17
7	6939	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 16 to 11 computations (31.3% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

685×	`div-sub_binary64`
548×	`sub-neg_binary64`
306×	`associate-/r*_binary64`
302×	`fma-def_binary64`
296×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	31	19
2	76	17
3	215	17
4	638	17
5	1818	17
6	4420	17
7	6939	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)))

eval1.0ms (0%)

Compiler: Compiled 27 to 18 computations (33.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize33.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
1.0ms	v	@	inf	(.f64 5 (.f64 v v))
1.0ms	v	@	0	(.f64 5 (.f64 v v))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
1.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

rewrite145.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`prod-diff_binary64`
577×	`log-prod_binary64`
236×	`fma-def_binary64`
204×	`pow1/3_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	236	43
2	3342	39

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (sqrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1)))))) (#(struct:change 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(cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v 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 (.f64 v v) -5 1) (fma.f64 v v -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v 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 (.f64 v 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 (.f64 v 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 (.f64 v 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 (.f64 v 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 (.f64 v v) -5 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 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Outputs

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

745×	`cancel-sign-sub-inv_binary64`
572×	`associate-*l/_binary64`
550×	`fma-def_binary64`
311×	`distribute-rgt-out_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	512
1	118	469
2	347	443
3	1112	443
4	4016	443

Stop Event

1×	node limit

Counts

273 → 255

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))

Outputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.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)))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
(*.f64 5 (pow.f64 v 2))
(.f64 5 (.f64 v v))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (*.f64 v v) 4 -1)
(fma.f64 v (*.f64 v 4) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (fma.f64 4 (.f64 v v) (.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) -1)
(+.f64 (*.f64 4 (+.f64 (fma.f64 v v (pow.f64 v 4)) (pow.f64 v 6))) -1)
(fma.f64 4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) -1)
(fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4)))) (/.f64 -4 (pow.f64 v 6)))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (+.f64 -5 (/.f64 -4 (pow.f64 v 4)))) (/.f64 -4 (pow.f64 v 6)))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (-.f64 (/.f64 -4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))

eval239.0ms (1.9%)

Compiler: Compiled 12276 to 8433 computations (31.3% saved)

prune41.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	248	7	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	248	8	256

Error

0.5b

Counts

256 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	2.4b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))
	2.0b	(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
▶	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
▶	1.1b	(acos.f64 -1)
▶	1.5b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
▶	0.5b	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 471 to 334 computations (29.1% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))
✓	0.0b	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))))
✓	2.1b	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1))))

New

Error

Program

✓

0.0b

(/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))

✓

0.0b

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

✓

2.1b

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

Compiler

Compiled 64 to 38 computations (40.6% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`log-prod_binary64`
430×	`prod-diff_binary64`
318×	`pow2_binary64`
251×	`fma-def_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	269	49
2	3502	49

Stop Event

1×	node limit

Counts

3 → 274

Calls

Call 1

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

Inputs

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

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

(/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 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))) (fma.f64 (neg.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)) (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))) (+.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -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))) (fma.f64 (neg.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)))) (asin.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))) (fma.f64 -1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -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))) (fma.f64 (neg.f64 (cbrt.f64 (pow.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)))) (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (PI.f64) (.f64 (neg.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 0 (acos.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 (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (PI.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 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.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 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))))))

Outputs

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

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-rgt-out_binary64`
722×	`times-frac_binary64`
435×	`associate-/l/_binary64`
341×	`fma-def_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	668
1	101	666
2	238	660
3	616	611
4	1987	611
5	6059	611
6	7778	611

Stop Event

1×	node limit

Counts

310 → 180

Calls

Call 1

Inputs
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
1
(+.f64 (*.f64 -4 (pow.f64 v 2)) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) 1))
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) (+.f64 1 (*.f64 -4 (pow.f64 v 6)))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))

Outputs
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))))
(acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (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 v (*.f64 v 5) -1) (fma.f64 v v -1)))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (*.f64 -1 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 v v) -5 1)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
1
(+.f64 (*.f64 -4 (pow.f64 v 2)) 1)
(fma.f64 -4 (*.f64 v v) 1)
(fma.f64 (*.f64 v v) -4 1)
(fma.f64 v (*.f64 v -4) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) 1))
(fma.f64 -4 (*.f64 v v) (fma.f64 -4 (pow.f64 v 4) 1))
(fma.f64 (*.f64 v v) -4 (fma.f64 -4 (pow.f64 v 4) 1))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) (+.f64 1 (*.f64 -4 (pow.f64 v 6)))))
(fma.f64 -4 (.f64 v v) (+.f64 (fma.f64 -4 (pow.f64 v 4) 1) (.f64 -4 (pow.f64 v 6))))
(fma.f64 (*.f64 v v) -4 (fma.f64 -4 (pow.f64 v 4) (fma.f64 -4 (pow.f64 v 6) 1)))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) (fma.f64 -4 (pow.f64 v 6) 1))
(fma.f64 -4 (fma.f64 v (+.f64 v (pow.f64 v 3)) (pow.f64 v 6)) 1)
(fma.f64 -4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) 1)
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (/.f64 4 (pow.f64 v 4)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))

localize3.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
0.0ms	v	@	-inf	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
0.0ms	v	@	inf	(acos.f64 (fma.f64 v (*.f64 v 4) -1))

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`pow1_binary64`
585×	`add-log-exp_binary64`
585×	`log1p-expm1-u_binary64`
585×	`expm1-log1p-u_binary64`
574×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	140	10
2	1543	10

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(acos.f64 (fma.f64 v (*.f64 v 4) -1))

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`fma-def_binary64`
2×	`associate-r_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	120
1	10	120
2	14	120
3	17	120
4	18	120

Stop Event

1×

saturated

Counts

32 → 22

Calls

Call 1

Inputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))

Outputs
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))
✓	0.5b	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
✓	1.0b	(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)

Compiler

Compiled 71 to 43 computations (39.4% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
1.0ms	v	@	inf	(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
1.0ms	v	@	-inf	(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
0.0ms	v	@	0	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
0.0ms	v	@	inf	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
367×	`exp-prod_binary64`
323×	`prod-exp_binary64`
285×	`pow2_binary64`
263×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	265	69
2	2775	69

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))

Outputs
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(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)) (neg.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 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.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 0 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (log.f64 (sqrt.f64 (exp.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 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 v (.f64 v -5) 1) (/.f64 1 (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)) 1)))) (#(struct:change #<rule 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(2) ((x .f64 (/.f64 1 (fma.f64 v v -1)) (fma.f64 v (.f64 v -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) 1) (/.f64 (sqrt.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 v v -1)) -2) (/.f64 (fma.f64 v (.f64 v -5) 1) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 v v -1)) 2)) (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (pow.f64 (cbrt.f64 (fma.f64 v v -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) 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-1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (.f64 v -5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 3) (pow.f64 (fma.f64 v v -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (.f64 v -5) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.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 (/.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 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 3) (pow.f64 (fma.f64 v v -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (/.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 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (.f64 v -5) 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -5))) 1) (log.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (.f64 v (.f64 v -5))) (.f64 (log.f64 (fma.f64 v v -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -5))) 1) (.f64 (log.f64 (fma.f64 v v -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log1p.f64 (.f64 v (.f64 v -5))) 1) (neg.f64 (log.f64 (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 v v -1))) (.f64 (log1p.f64 (.f64 v (.f64 v -5))) 1)))))))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

669×	`cancel-sign-sub-inv_binary64`
544×	`fma-def_binary64`
413×	`associate-*l/_binary64`
408×	`associate-/l*_binary64`
311×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	824
1	120	805
2	335	803
3	1019	803
4	3399	803

Stop Event

1×	node limit

Counts

246 → 161

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1)))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))

Outputs
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3)
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
(acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (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)))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 (*.f64 v v) 4 -1)
(fma.f64 v (*.f64 v 4) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (fma.f64 4 (.f64 v v) (.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) -1)
(+.f64 -1 (*.f64 4 (+.f64 (fma.f64 v v (pow.f64 v 4)) (pow.f64 v 6))))
(fma.f64 4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v (+.f64 v (pow.f64 v 3)) (pow.f64 v 6)) -1)
(fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(-.f64 -5 (/.f64 4 (*.f64 v v)))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (-.f64 -5 (/.f64 4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (-.f64 (/.f64 -4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (+.f64 (/.f64 -4 (pow.f64 v 6)) (/.f64 -4 (pow.f64 v 4))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(-.f64 -5 (/.f64 4 (*.f64 v v)))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (-.f64 -5 (/.f64 4 (*.f64 v v))) (/.f64 -4 (pow.f64 v 4)))
(+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (-.f64 (/.f64 -4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))
(+.f64 (+.f64 -5 (/.f64 -4 (*.f64 v v))) (+.f64 (/.f64 -4 (pow.f64 v 6)) (/.f64 -4 (pow.f64 v 4))))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))
	0.5b	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)

Compiler

Compiled 70 to 42 computations (40% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
3.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
0.0ms	v	@	0	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
0.0ms	v	@	inf	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
367×	`exp-prod_binary64`
323×	`prod-exp_binary64`
285×	`pow2_binary64`
264×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	265	36
2	2776	36

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.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)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.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) (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 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (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 (exp.f64 (log1p.f64 (cbrt.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 (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 (cbrt.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 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (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 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (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 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3)))) (#(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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2)))) (#(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))) 2) 1/6)))) (#(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) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2)))) (#(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))) 1/6) 2)))) (#(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)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (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 log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.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 (cbrt.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)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.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 exp.f64 (*.f64 (*.f64 1/6 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1) 1))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

767×	`unswap-sqr_binary64`
693×	`distribute-rgt-in_binary64`
630×	`distribute-lft-in_binary64`
607×	`associate-l_binary64`
569×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	468
1	35	432
2	57	432
3	99	432
4	209	432
5	647	432
6	2412	432
7	7119	432

Stop Event

1×	node limit

Counts

115 → 94

Calls

Call 1

Inputs
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)

Outputs
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(*.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) (pow.f64 1 1/3))
(.f64 1 (acos.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (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)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

eval303.0ms (2.5%)

Compiler: Compiled 13892 to 10237 computations (26.3% saved)

prune76.0ms (0.6%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	514	10	524
Fresh	2	0	2
Picked	0	1	1
Done	1	4	5
Total	517	15	532

Error

0.5b

Counts

532 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.1b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
✓	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
	0.8b	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
	2.1b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2) 3)
✓	1.5b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
✓	1.5b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	1.5b	(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)
	2.5b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
▶	1.7b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
✓	1.1b	(acos.f64 -1)
▶	0.5b	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
▶	2.0b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
▶	2.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
	3.0b	(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 3/2)) 3)
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 378 to 299 computations (20.9% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))
✓	0.0b	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
✓	2.1b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))

Compiler

Compiled 55 to 36 computations (34.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
0.0ms	v	@	0	(acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))
0.0ms	v	@	0	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
0.0ms	v	@	inf	(/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))
0.0ms	v	@	0	(/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
430×	`prod-diff_binary64`
318×	`pow-prod-down_binary64`
317×	`pow2_binary64`
229×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	236	53
2	3105	53

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) (fma.f64 (neg.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)))) (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) (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 0 (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))) (pow.f64 (cbrt.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 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v 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(fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (neg.f64 (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 (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 (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 (pow.f64 (*.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 (*.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 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) 2)) (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 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))) 2) 1/2)))) (#(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 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 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 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) (pow.f64 (cbrt.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 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) 2) (cbrt.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 v (*.f64 v 5) -1)) 2) (*.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) -1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) (sqrt.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 v (*.f64 v 5) -1)) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) -1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 v (*.f64 v 5) -1)) (/.f64 1 (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 v v -1)) (fma.f64 v (*.f64 v 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) -1)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) -1)) 1) (/.f64 (sqrt.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 v v -1)) -2) (/.f64 (fma.f64 v (*.f64 v 5) -1) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) -1)) 2) (pow.f64 (cbrt.f64 (fma.f64 v v -1)) 2)) (cbrt.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) -1)) (pow.f64 (cbrt.f64 (fma.f64 v v -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v 5) -1)) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 v v -1) -1/2) (/.f64 (fma.f64 v (*.f64 v 5) -1) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) -1)) 2) (sqrt.f64 (fma.f64 v v -1))) (/.f64 (cbrt.f64 (fma.f64 v (*.f64 v 5) -1)) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.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 (/.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 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v 5) -1) 3) (pow.f64 (fma.f64 v v -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (*.f64 v 5) -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.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 (/.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 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (*.f64 v 5) -1) 3) (pow.f64 (fma.f64 v v -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (/.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 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))) 1))))))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

738×	`distribute-rgt-out_binary64`
704×	`times-frac_binary64`
507×	`associate-+l+_binary64`
429×	`associate-/l/_binary64`
334×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	620
1	97	618
2	221	612
3	570	611
4	1834	611
5	5624	611
6	6970	611

Stop Event

1×	node limit

Counts

208 → 190

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)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
1
(+.f64 (*.f64 -4 (pow.f64 v 2)) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) 1))
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) (+.f64 1 (*.f64 -4 (pow.f64 v 6)))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))

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)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 5 v) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
1
(+.f64 (*.f64 -4 (pow.f64 v 2)) 1)
(fma.f64 -4 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -4) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) 1))
(fma.f64 -4 (*.f64 v v) (fma.f64 -4 (pow.f64 v 4) 1))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) 1)
(+.f64 (.f64 -4 (pow.f64 v 2)) (+.f64 (.f64 -4 (pow.f64 v 4)) (+.f64 1 (*.f64 -4 (pow.f64 v 6)))))
(fma.f64 -4 (.f64 v v) (+.f64 (fma.f64 -4 (pow.f64 v 4) 1) (.f64 -4 (pow.f64 v 6))))
(fma.f64 -4 (*.f64 v v) (fma.f64 -4 (pow.f64 v 4) (fma.f64 -4 (pow.f64 v 6) 1)))
(fma.f64 -4 (fma.f64 v v (pow.f64 v 4)) (fma.f64 -4 (pow.f64 v 6) 1))
(fma.f64 -4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) 1)
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (/.f64 4 (*.f64 v v)) (+.f64 5 (/.f64 4 (pow.f64 v 4))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))
5
(+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2))))
(+.f64 5 (/.f64 4 (*.f64 v v)))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))))
(+.f64 (/.f64 4 (*.f64 v v)) (+.f64 5 (/.f64 4 (pow.f64 v 4))))
(+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4))))))
(+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 6)))))
(+.f64 (+.f64 5 (/.f64 4 (*.f64 v v))) (+.f64 (/.f64 4 (pow.f64 v 4)) (/.f64 4 (pow.f64 v 6))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 (acos.f64 -1))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)

Compiler

Compiled 13 to 13 computations (0% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

433×	`pow1_binary64`
431×	`add-sqr-sqrt_binary64`
414×	`*-un-lft-identity_binary64`
412×	`add-log-exp_binary64`
412×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	126	8
2	1135	8

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
(cbrt.f64 (acos.f64 -1))

Outputs

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

55 → 55

Calls

Call 1

Inputs

Outputs

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.0b	(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
✓	1.6b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)

Compiler

Compiled 39 to 29 computations (25.6% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
2.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
2.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
0.0ms	v	@	inf	(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
0.0ms	v	@	0	(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
737×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
721×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	207	22
2	2031	22

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

Outputs

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

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

simplify188.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
676×	`cube-prod_binary64`
666×	`pow-sqr_binary64`
557×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	300
1	28	264
2	40	264
3	54	264
4	79	264
5	165	264
6	532	264
7	1194	264
8	1286	264
9	1424	264
10	1587	264
11	1825	264
12	2152	264
13	2579	264
14	3084	264
15	3689	264
16	4416	264
17	4739	264
18	5023	264
19	5243	264
20	5421	264
21	5503	264
22	6446	264
23	7423	264
24	7889	264

Stop Event

1×	node limit

Counts

67 → 46

Calls

Call 1

Inputs
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)

Outputs
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) (pow.f64 1 1/3))
(.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1)) 1)
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1/3)
(cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
✓	0.0b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2)
✓	0.5b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.6b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)

Compiler

Compiled 92 to 66 computations (28.3% saved)

series102.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	v	@	0	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
37.0ms	v	@	inf	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
24.0ms	v	@	-inf	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
0.0ms	v	@	0	(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0ms	v	@	0	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
352×	`pow2_binary64`
321×	`pow-prod-down_binary64`
241×	`log1p-udef_binary64`
240×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	342	68
2	3733	68

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2)
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.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)))) (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.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) (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 (fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1 (.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (.f64 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egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (pow.f64 (cbrt.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 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2) (cbrt.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 v (.f64 v -5) 1)) 2) (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) (sqrt.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 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 1 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 1 (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 v v -1)) (fma.f64 v (.f64 v -5) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (fma.f64 v v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) 1) (/.f64 (sqrt.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 v v -1)) -2) (/.f64 (fma.f64 v (.f64 v -5) 1) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 v v -1)) 2)) (cbrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (pow.f64 (cbrt.f64 (fma.f64 v v -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 v v -1) -1/2) (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) 2) (sqrt.f64 (fma.f64 v v -1))) (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (.f64 v -5) 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (.f64 v -5) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 3) (pow.f64 (fma.f64 v v -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (.f64 v -5) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (neg.f64 (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.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 (/.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 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 v v -1) (fma.f64 v (.f64 v -5) 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 v (.f64 v -5) 1) 3) (pow.f64 (fma.f64 v v -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (/.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 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

669×	`cancel-sign-sub-inv_binary64`
540×	`fma-def_binary64`
409×	`associate-*l/_binary64`
403×	`associate-/l*_binary64`
313×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	884
1	128	793
2	347	791
3	1037	791
4	3423	791

Stop Event

1×	node limit

Counts

202 → 130

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (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)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))

Outputs
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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)))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(fma.f64 4 (*.f64 v v) -1)
(fma.f64 v (*.f64 v 4) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (fma.f64 4 (.f64 v v) (.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6)))) -1)
(+.f64 -1 (*.f64 4 (+.f64 (fma.f64 v v (pow.f64 v 4)) (pow.f64 v 6))))
(fma.f64 4 (+.f64 (pow.f64 v 6) (fma.f64 v v (pow.f64 v 4))) -1)
(fma.f64 4 (fma.f64 v (+.f64 v (pow.f64 v 3)) (pow.f64 v 6)) -1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(-.f64 -5 (/.f64 (/.f64 4 v) v))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(+.f64 -5 (/.f64 (/.f64 -4 v) v))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 (/.f64 4 v) v) (/.f64 4 (pow.f64 v 4))))
(+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 (/.f64 -4 v) v)) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 (/.f64 4 v) v) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))
(-.f64 (-.f64 -5 (/.f64 4 (pow.f64 v 4))) (-.f64 (/.f64 (/.f64 4 v) v) (/.f64 -4 (pow.f64 v 6))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 (/.f64 -4 v) v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (/.f64 4 (*.f64 v v))))
(-.f64 -5 (/.f64 (/.f64 4 v) v))
(+.f64 -5 (/.f64 -4 (*.f64 v v)))
(+.f64 -5 (/.f64 (/.f64 -4 v) v))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4)))))
(-.f64 -5 (+.f64 (/.f64 (/.f64 4 v) v) (/.f64 4 (pow.f64 v 4))))
(+.f64 -5 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))))
(+.f64 (+.f64 -5 (/.f64 (/.f64 -4 v) v)) (/.f64 -4 (pow.f64 v 4)))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (/.f64 4 (*.f64 v v)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (pow.f64 v 6)))))
(-.f64 -5 (+.f64 (/.f64 4 (pow.f64 v 4)) (+.f64 (/.f64 (/.f64 4 v) v) (/.f64 4 (pow.f64 v 6)))))
(+.f64 -5 (+.f64 (+.f64 (/.f64 -4 (*.f64 v v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6))))
(-.f64 (-.f64 -5 (/.f64 4 (pow.f64 v 4))) (-.f64 (/.f64 (/.f64 4 v) v) (/.f64 -4 (pow.f64 v 6))))
(+.f64 (+.f64 (+.f64 -5 (/.f64 (/.f64 -4 v) v)) (/.f64 -4 (pow.f64 v 4))) (/.f64 -4 (pow.f64 v 6)))

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)
	0.5b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	1.6b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)

Compiler

Compiled 103 to 73 computations (29.1% saved)

series39.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
11.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
9.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
3.0ms	v	@	-inf	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
2.0ms	v	@	0	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
330×	`pow-prod-down_binary64`
313×	`pow2_binary64`
216×	`pow-to-exp_binary64`
214×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	311	55
2	3093	55

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)

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

(pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.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)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.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) (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 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (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 (exp.f64 (log1p.f64 (cbrt.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 (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 (cbrt.f64 (acos.f64 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simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
400×	`unsub-neg_binary64`
362×	`unswap-sqr_binary64`
337×	`distribute-neg-in_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	696
1	39	660
2	60	660
3	86	660
4	139	660
5	303	660
6	829	660
7	1703	660
8	2177	660
9	4149	660
10	6212	660
11	7844	660

Stop Event

1×	node limit

Counts

166 → 101

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))

Outputs
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

eval320.0ms (2.6%)

Compiler: Compiled 14214 to 10766 computations (24.3% saved)

prune87.0ms (0.7%)

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	546	9	555
Fresh	1	4	5
Picked	1	0	1
Done	0	9	9
Total	548	22	570

Error

0.5b

Counts

570 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
▶	2.6b	(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
	2.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 3)
✓	1.5b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	2.0b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/6) 2) 3)
	2.0b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 9)) 3) 3)
	1.5b	(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)
✓	2.1b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
✓	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.7b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
	2.0b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)) 3) 3)
▶	5.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))) 3) 3)
✓	0.5b	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
	2.1b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2) 3)
✓	1.5b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
▶	4.3b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2) 3)
▶	2.5b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
✓	1.1b	(acos.f64 -1)
✓	2.0b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
	2.3b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) 2) 3)
	3.0b	(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 3/2)) 3)
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 593 to 484 computations (18.4% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
✓	0.0b	(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))

Compiler

Compiled 37 to 27 computations (27% saved)

series82.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	v	@	0	(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
19.0ms	v	@	inf	(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
16.0ms	v	@	-inf	(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
3.0ms	v	@	-inf	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
0.0ms	v	@	0	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
661×	`expm1-log1p-u_binary64`
660×	`add-log-exp_binary64`
660×	`log1p-expm1-u_binary64`
647×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	161	22
2	1752	22

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`associate-r_binary64`
1×	`*-commutative_binary64`
1×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	300
1	16	264
2	21	264
3	24	264
4	25	264

Stop Event

1×

saturated

Counts

62 → 41

Calls

Call 1

Inputs
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))

Outputs
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1))
(log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 4 v) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.0b	(cbrt.f64 (acos.f64 -1))
✓	1.0b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 2)

Compiler

Compiled 22 to 22 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`pow1_binary64`
450×	`add-sqr-sqrt_binary64`
438×	`*-un-lft-identity_binary64`
429×	`add-log-exp_binary64`
429×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	8
2	1212	8

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 -1)) 2)

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

16 → 16

Calls

Call 1

Inputs

Outputs

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
	0.5b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
	1.0b	(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

Compiler

Compiled 88 to 62 computations (29.5% saved)

series130.0ms (1.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
82.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
24.0ms	v	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
21.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
1.0ms	v	@	0	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
1.0ms	v	@	inf	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
328×	`pow2_binary64`
289×	`pow-prod-down_binary64`
228×	`pow1/3_binary64`
227×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	309	39
2	3414	39

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.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)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.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) (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 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 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(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 (pow.f64 (*.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 (*.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 (*.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (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 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 acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -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)))))))) (#(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 (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 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 exp.f64 (*.f64 (*.f64 4 (log.f64 (cbrt.f64 (acos.f64 (/.f64 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simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-neg_binary64`
796×	`unswap-sqr_binary64`
323×	`fma-def_binary64`
312×	`associate-l_binary64`
246×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	468
1	30	468
2	47	468
3	76	468
4	141	468
5	357	468
6	1232	468
7	2929	468
8	3544	468
9	5677	468
10	7961	468

Stop Event

1×	node limit

Counts

91 → 69

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(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
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 2) 1/3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))
(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)))

localize72.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2)
	0.5b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.6b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2) 3)
✓	3.7b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18)

Compiler

Compiled 136 to 102 computations (25% saved)

series76.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	v	@	-inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2) 3)
23.0ms	v	@	inf	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2) 3)
21.0ms	v	@	0	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2) 3)
2.0ms	v	@	-inf	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18)
2.0ms	v	@	inf	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18)

rewrite184.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log-prod_binary64`
417×	`pow2_binary64`
283×	`log1p-udef_binary64`
282×	`expm1-udef_binary64`
279×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	57
1	438	53
2	4467	53

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18)

(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2) 3)

(pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (fma.f64 (neg.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)))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.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) (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 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1))) (fma.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 1 (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 (PI.f64) 1/2) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.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 (fma.f64 (PI.f64) 1/2 (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.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 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) (*.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.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 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/2)) (sqrt.f64 (*.f64 (PI.f64) 1/2)) 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(fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 6) (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 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/12) 6) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/12) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18)) 18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 18) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) 1) (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 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2)))) (cbrt.f64 (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 (-.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 (pow.f64 (*.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 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (log.f64 (sqrt.f64 (exp.f64 (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 (exp.f64 (log1p.f64 (cbrt.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 (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 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6))))) (#(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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (cbrt.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 *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2))) (cbrt.f64 (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 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/12) (*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/12) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/12) 3) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (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 (*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.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 (cbrt.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 (cbrt.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 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.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 (cbrt.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)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))))))

simplify260.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

849×	`fma-neg_binary64`
401×	`unsub-neg_binary64`
362×	`unswap-sqr_binary64`
340×	`distribute-neg-in_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	744
1	44	636
2	67	636
3	95	636
4	150	636
5	317	636
6	838	636
7	1715	636
8	2191	636
9	4122	636
10	6202	636
11	7835	636

Stop Event

1×	node limit

Counts

151 → 74

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))

Outputs
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/3) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))) 1/3))
(.f64 1 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))

localize231.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))
✓	1.6b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))) 3) 3)
	3.7b	(pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18)

Compiler

Compiled 151 to 113 computations (25.2% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))
2.0ms	v	@	0	(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))
2.0ms	v	@	-inf	(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))
1.0ms	v	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))) 3) 3)
1.0ms	v	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))) 3) 3)

rewrite182.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`log-prod_binary64`
379×	`pow2_binary64`
255×	`log1p-udef_binary64`
254×	`expm1-udef_binary64`
252×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	406	36
2	3861	36

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))) 3) 3)

(cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))

Outputs

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(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) (*.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 4)))))) (#(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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 4) (cbrt.f64 (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 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/54) 4) (*.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 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(fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/54))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 4) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18)) (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18))))) (#(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))) 1/18) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/3)))) (#(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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 1/2)))) (#(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))) 2) 1/6)))) (#(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) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 4) 3/2)))) (#(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))) 1/54) 18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2) 1/54) 9)))) (#(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)))) 2/3)))) (#(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))) 1/6) 2)))) (#(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))) 1/36) 12)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (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 log.f64 (exp.f64 (cbrt.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 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.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 (cbrt.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)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))))))

simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
625×	`unsub-neg_binary64`
362×	`unswap-sqr_binary64`
341×	`distribute-neg-in_binary64`
323×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	468
1	34	432
2	51	432
3	73	432
4	117	432
5	252	432
6	721	432
7	1591	432
8	2063	432
9	3998	432
10	6067	432
11	7692	432

Stop Event

1×	node limit

Counts

104 → 84

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)

Outputs
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(.f64 (pow.f64 1 1/9) (acos.f64 (/.f64 (fma.f64 v (.f64 -5 v) 1) (fma.f64 v v -1))))
(.f64 1 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 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 -5 (*.f64 v v) 1) (fma.f64 v v -1)))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))
(pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1))) 1/3)
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 -5 (*.f64 v v) 1) (fma.f64 v v -1))))

eval511.0ms (4.2%)

Compiler: Compiled 12543 to 9856 computations (21.4% saved)

prune181.0ms (1.5%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	460	10	470
Fresh	3	5	8
Picked	1	0	1
Done	2	11	13
Total	466	26	492

Error

0.5b

Counts

492 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	5.3b	(pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 18) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 18)) 1/6) 2) 3)
✓	0.8b	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
✓	2.6b	(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
	2.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 3)
✓	1.5b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	3.5b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
	2.0b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 9)) 3) 3)
	1.5b	(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)
✓	2.1b	(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
✓	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.7b	(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
	2.8b	(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 9) 2) 3/2)
	5.0b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/18) 18))) 3) 3)
✓	1.1b	(acos.f64 -1)
	4.0b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 6) 2) 3/2)
✓	0.5b	(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
	4.3b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/18) 18) 1/6) 2) 3)
	2.1b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2) 3)
✓	1.5b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
	0.8b	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))
	2.3b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) 2) 3)
	3.0b	(pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 2) 3/2)
	5.0b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 12)) 3) 3)
✓	2.0b	(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
	2.0b	(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)) 3) 3)
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 478 to 387 computations (19% saved)

regimes173.0ms (1.4%)

Counts

37 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v 5) -1) (fma.f64 v v -1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (neg.f64 (fma.f64 v v -1)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 -1)) 2) (cbrt.f64 (acos.f64 -1)))
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1/6) 2) 3)
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) 3))
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3) 3)
(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
(pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/6) 2) 3)
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 6) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 12)) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18) 1/6) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 9) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)) 3) 3)
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3)) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/6) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/18) 18))) 3) 3)
(pow.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))) 3/2)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 9)) 3) 3)
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/18) 18) 1/6) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 9) 1/18) 18))) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 18) (pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 1/36) 18)) 1/6) 2) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) 2) 3/2)
(+.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (.f64 (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1)))) (cbrt.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))))))

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

Calls

7 calls:

36.0ms	v
21.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
16.0ms	(*.f64 v v)
15.0ms	(*.f64 v v)
8.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.5b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.5b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.5b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.5b	1	`(*.f64 v v)`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 856 to 646 computations (24.5% saved)

regimes60.0ms (0.5%)

Accuracy

Total -1.5b remaining (-296.1%)

Threshold costs -1.5b (-296.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(pow.f64 (cbrt.f64 (acos.f64 -1)) 3)
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (cbrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 3)

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

Calls

4 calls:

35.0ms	(*.f64 v v)
11.0ms	v
5.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
4.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.5b	1	`v`
0.5b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.5b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.5b	1	`(*.f64 v v)`

Compiler

Compiled 92 to 66 computations (28.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	45
1	33	45
2	45	45
3	54	45
4	60	45
5	63	45
6	64	45

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

soundness167.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-rgt-out_binary64`
722×	`times-frac_binary64`
435×	`associate-/l/_binary64`
341×	`fma-def_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	668
1	101	666
2	238	660
3	616	611
4	1987	611
5	6059	611
6	7778	611

Stop Event

1×	node limit

Compiler

Compiled 226 to 181 computations (19.9% saved)

end58.0ms (0.5%)

Compiler: Compiled 31 to 22 computations (29% saved)