Details

analyze820.0ms (5.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample5.7s (38.6%)

Results

3.1s	4115×	body	2048	valid
1.1s	2098×	body	1024	valid
1.0s	8206×	body	256	invalid
301.0ms	1005×	body	512	valid
197.0ms	1038×	body	256	valid

Bogosity

preprocess67.0ms (0.5%)

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)

simplify59.0ms (0.4%)

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)

prune1.0ms (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)

localize17.0ms (0.1%)

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)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	-inf	(/.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))
0.0ms	v	@	0	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite259.0ms (1.7%)

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 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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)))))))))

simplify116.0ms (0.8%)

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)))

eval406.0ms (2.7%)

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

prune101.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	245	10	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	11	256

Error

0.5b

Counts

256 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
	0.5b	(-.f64 (.f64 (PI.f64) 1/2) (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)))))
▶	1.4b	(cbrt.f64 (pow.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))))))))
	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	62.3b	(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.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))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
▶	1.4b	(acos.f64 -1)
▶	0.8b	(acos.f64 (.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (.f64 v v) -5 1) (+.f64 v -1))))
▶	0.5b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

Compiler

Compiled 639 to 454 computations (29% saved)

localize669.0ms (4.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
✓	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))
✓	0.0b	(expm1.f64 (log1p.f64 (acos.f64 (/.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)))

Compiler

Compiled 68 to 40 computations (41.2% saved)

series151.0ms (1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
56.0ms	v	@	-inf	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
50.0ms	v	@	inf	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
42.0ms	v	@	0	(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
0.0ms	v	@	0	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
0.0ms	v	@	inf	(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))

rewrite332.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`unpow-prod-down_binary64`
442×	`log-prod_binary64`
345×	`exp-prod_binary64`
264×	`pow2_binary64`
236×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	219	68
2	2497	68

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
(expm1.f64 (log1p.f64 (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))
(log1p.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 (+.f64 1 (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) (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)) (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (/.f64 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simplify261.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

669×	`cancel-sign-sub-inv_binary64`
541×	`fma-def_binary64`
406×	`associate-/l*_binary64`
398×	`associate-*l/_binary64`
311×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	848
1	115	793
2	328	791
3	1006	791
4	3361	791

Stop Event

1×	node limit

Counts

273 → 184

Calls

Call 1

Inputs
(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)))))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))

Outputs
(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 (+.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 -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 (/.f64 4 (pow.f64 v 6)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (*.f64 v v))))
(+.f64 (+.f64 (-.f64 -5 (/.f64 4 (pow.f64 v 6))) (/.f64 -4 (*.f64 v v))) (/.f64 -4 (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 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 -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 (/.f64 4 (pow.f64 v 6)) (/.f64 4 (pow.f64 v 4))) (/.f64 4 (*.f64 v v))))
(+.f64 (+.f64 (-.f64 -5 (/.f64 4 (pow.f64 v 6))) (/.f64 -4 (*.f64 v v))) (/.f64 -4 (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 6)) (/.f64 -4 (pow.f64 v 4)))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (pow.f64 v 2) -5 1) (fma.f64 v v -1))) 1))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

localize2.0ms (0%)

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

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 1 v))
✓	0.0b	(.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (.f64 v v) -5 1) (+.f64 v -1)))
✓	0.0b	(/.f64 (fma.f64 (*.f64 v v) -5 1) (+.f64 v -1))
✓	1.7b	(acos.f64 (.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (.f64 v v) -5 1) (+.f64 v -1))))

Compiler

Compiled 68 to 45 computations (33.8% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite150.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`log-prod_binary64`
383×	`prod-diff_binary64`
288×	`fma-def_binary64`
243×	`log1p-udef_binary64`
241×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	287	63
2	3991	53

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

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

simplify206.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-neg_binary64`
500×	`times-frac_binary64`
414×	`associate-/r*_binary64`
314×	`cancel-sign-sub-inv_binary64`
311×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	759
1	241	714
2	699	708
3	2373	699

Stop Event

1×	node limit

Counts

212 → 211

Calls

Call 1

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

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

localize52.0ms (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 (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

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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	@	inf	(cbrt.f64 (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))

rewrite101.0ms (0.7%)

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	37
1	265	37
2	2775	37

Stop Event

1×	node limit

Counts

2 → 91

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))

Outputs

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

((#(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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1) (fma.f64 v v -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.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 pow.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 6) 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))) 9) 1/9)))) (#(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 (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 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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))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 (*.f64 (log.f64 (acos.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 (*.f64 3 (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 (*.f64 3 (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 fma.f64 1 (*.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 (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 (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)))))))))

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	444
1	30	444
2	49	444
3	89	444
4	196	444
5	628	444
6	2412	444
7	7120	444

Stop Event

1×	node limit

Counts

115 → 94

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)))

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)))

localize55.0ms (0.4%)

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	(asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))
✓	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))
✓	1.0b	(.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 99 to 64 computations (35.4% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

3 calls:

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

rewrite139.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
344×	`pow2_binary64`
322×	`pow-prod-down_binary64`
239×	`pow1/3_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	296	34
2	3319	34

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

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

Outputs

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

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

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(#(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 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.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 fma.f64 (*.f64 1/2 (sqrt.f64 (PI.f64))) (sqrt.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 fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 2) 4) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2)) 2) (cbrt.f64 (PI.f64))) (cbrt.f64 1/2) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 5/6) (pow.f64 (*.f64 (PI.f64) 1/2) 1/6) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

747×	`cancel-sign-sub-inv_binary64`
721×	`fma-neg_binary64`
476×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
410×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	204
1	21	204
2	35	204
3	66	204
4	153	204
5	513	204
6	2429	204
7	5080	204

Stop Event

1×	node limit

Counts

148 → 138

Calls

Call 1

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

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

eval776.0ms (5.2%)

Compiler: Compiled 27641 to 20898 computations (24.4% saved)

prune291.0ms (2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	905	21	926
Fresh	3	2	5
Picked	1	0	1
Done	2	3	5
Total	911	26	937

Error

0.5b

Counts

937 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
	1.8b	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
	62.3b	(/.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)))))
▶	1.6b	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3))
	2.0b	(expm1.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
▶	3.0b	(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
	0.8b	(acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (*.f64 (-.f64 1 v) (+.f64 v 1))))
	0.8b	(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (+.f64 1 v)) (+.f64 v -1)))
✓	1.4b	(acos.f64 -1)
	2.0b	(expm1.f64 (log1p.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.2b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
▶	2.3b	(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 (fma.f64 v (*.f64 v 4) -1))))
	0.7b	(expm1.f64 (log1p.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))))
	0.5b	(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1/3))
	2.7b	(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (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	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
▶	0.5b	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 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 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2) 4) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (.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)))) (fma.f64 (neg.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) (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2))))))
✓	0.5b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
	2.4b	(exp.f64 (.f64 (log.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	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
	2.4b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
	4.2b	(expm1.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

Compiler

Compiled 1139 to 892 computations (21.7% saved)

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	0.0b	(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
✓	0.0b	(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	0.5b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 99 to 69 computations (30.3% saved)

series257.0ms (1.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
112.0ms	v	@	-inf	(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
53.0ms	v	@	0	(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
24.0ms	v	@	0	(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
23.0ms	v	@	inf	(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
22.0ms	v	@	-inf	(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
403×	`exp-prod_binary64`
292×	`pow2_binary64`
290×	`prod-exp_binary64`
263×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	258	74
2	2762	74

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary64`
674×	`unsub-neg_binary64`
419×	`sub-neg_binary64`
383×	`distribute-neg-in_binary64`
336×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	888
1	25	888
2	32	888
3	41	888
4	59	888
5	98	888
6	180	888
7	394	888
8	801	888
9	2640	888
10	4783	888
11	7025	888

Stop Event

1×	node limit

Counts

218 → 122

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

Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
(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)))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))
(log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (acos.f64 (/.f64 (fma.f64 v (*.f64 -5 v) 1) (fma.f64 v v -1)))))))
(log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
664×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
652×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	167	9
2	2070	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`fma-def_binary64`
11×	`fma-neg_binary64`
7×	`associate-/r*_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	23	108
2	29	108
3	52	108
4	72	108
5	103	108
6	120	108
7	130	108
8	132	108

Stop Event

1×

saturated

Counts

32 → 24

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series56.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	v	@	inf	(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
18.0ms	v	@	0	(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
18.0ms	v	@	-inf	(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
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))

rewrite74.0ms (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	32
1	161	32
2	1752	32

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

((#(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 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 (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))))))))

((#(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)))))))))

simplify18.0ms (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	420
1	16	384
2	21	384
3	24	384
4	25	384

Stop Event

1×

saturated

Counts

97 → 42

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))
(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))
(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))

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))
(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))
(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)))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (pow.f64 v 2))
✓	0.5b	(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
✓	1.0b	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3))
✓	1.0b	(pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3)

Compiler

Compiled 93 to 78 computations (16.1% saved)

series6.0ms (0%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3)
1.0ms	v	@	0	(pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3)
0.0ms	v	@	inf	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	0	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	-inf	(pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3)

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
591×	`fma-def_binary64`
355×	`fma-neg_binary64`
342×	`pow2_binary64`
232×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	335	52
2	3854	52

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

Inputs
(pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3)
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(*.f64 4 (pow.f64 v 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2) (.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3/2) (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) 1) (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2)) (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))) (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (fma.f64 v v (pow.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 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -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 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -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 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2) (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (acos.f64 (fma.f64 4 (fma.f64 v v (pow.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 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (+.f64 (pow.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) (.f64 (.f64 (PI.f64) 1/2) (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2)) (fma.f64 (PI.f64) 1/2 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 1/2 (neg.f64 (asin.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -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 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -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 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 4 (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 v v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 4 (.f64 v v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4 (.f64 v v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 v 4) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 v 2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 v 6) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 v 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 4 (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 v 6) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 4 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 4 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 4 (.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 4 (.f64 v v))) 1))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
490×	`associate-l_binary64`
398×	`distribute-rgt-neg-in_binary64`
359×	`cancel-sign-sub-inv_binary64`
356×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	216
1	31	168
2	69	168
3	176	168
4	582	168
5	2296	168
6	5718	168
7	7026	168

Stop Event

1×	node limit

Counts

115 → 73

Calls

Call 1

Inputs
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))

Outputs
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
(acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))
(acos.f64 (+.f64 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4))) -1))
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(asin.f64 (fma.f64 v (*.f64 v 4) -1))
	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))
	1.0b	(.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (cbrt.f64 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 68 to 51 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.3%)

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
(asin.f64 (fma.f64 v (*.f64 v 4) -1))

Outputs

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

simplify11.0ms (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
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))
(asin.f64 (fma.f64 v (*.f64 4 v) -1))

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

eval285.0ms (1.9%)

Compiler: Compiled 10205 to 8092 computations (20.7% saved)

prune101.0ms (0.7%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	440	10	450
Fresh	5	13	18
Picked	1	0	1
Done	3	4	7
Total	449	27	476

Error

0.5b

Counts

476 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
▶	1.8b	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
	62.3b	(/.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)))))
	2.0b	(expm1.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
	0.8b	(acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (*.f64 (-.f64 1 v) (+.f64 v 1))))
	0.8b	(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (+.f64 1 v)) (+.f64 v -1)))
✓	1.4b	(acos.f64 -1)
	2.0b	(expm1.f64 (log1p.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.8b	(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
	1.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) 3))
	2.4b	(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2))
	3.9b	(expm1.f64 (expm1.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))
▶	3.0b	(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))))
	4.2b	(expm1.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.5b	(expm1.f64 (.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))))))
	2.0b	(expm1.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)))
✓	0.8b	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
▶	3.0b	(acos.f64 (*.f64 (-.f64 1 v) -1))
	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	1.6b	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (+.f64 0 (.f64 4 (.f64 v v))) (*.f64 4 (pow.f64 v 4))) 1)) 3))
▶	3.5b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
▶	0.5b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
	2.4b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
	2.0b	(expm1.f64 (-.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))
✓	0.5b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

Compiler

Compiled 977 to 772 computations (21% saved)

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

0.0b

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

0.5b

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

Compiler

Compiled 62 to 37 computations (40.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
358×	`pow2_binary64`
352×	`pow-prod-down_binary64`
332×	`fma-def_binary64`
247×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	290	17
2	3587	17

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

768×	`cancel-sign-sub-inv_binary64`
753×	`fma-neg_binary64`
466×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
409×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	288
1	29	288
2	46	288
3	84	288
4	189	288
5	575	288
6	2538	288
7	5213	288

Stop Event

1×	node limit

Counts

116 → 106

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(acos.f64 (*.f64 (-.f64 1 v) -1))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`pow1_binary64`
574×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
565×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	142	6
2	1718	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`fma-neg_binary64`
12×	`fma-def_binary64`
7×	`cancel-sign-sub-inv_binary64`
5×	`associate--r+_binary64`
5×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	96
1	27	96
2	37	72
3	52	72
4	82	72
5	104	72
6	117	72
7	119	72

Stop Event

1×

saturated

Counts

32 → 23

Calls

Call 1

Inputs
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))

Outputs
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 -1 (-.f64 1 v)))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))
(acos.f64 (.f64 -1 (+.f64 1 (.f64 -1 v))))
(acos.f64 (neg.f64 (-.f64 1 v)))
(acos.f64 (+.f64 -1 v))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 30 computations (25% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3)
1.0ms	v	@	inf	(pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3)
1.0ms	v	@	0	(pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3)
0.0ms	v	@	0	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
0.0ms	v	@	-inf	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))

rewrite62.0ms (0.4%)

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	23
1	207	23
2	2030	23

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify196.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
676×	`cube-prod_binary64`
666×	`pow-sqr_binary64`
553×	`fabs-mul_binary64`
374×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	276
1	20	276
2	29	276
3	41	276
4	63	276
5	153	276
6	527	276
7	1188	276
8	1275	276
9	1408	276
10	1566	276
11	1800	276
12	2122	276
13	2543	276
14	3045	276
15	3647	276
16	4365	276
17	4684	276
18	4966	276
19	5190	276
20	5366	276
21	5446	276
22	6386	276
23	7360	276
24	7826	276

Stop Event

1×	node limit

Counts

67 → 46

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
	0.5b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	1.0b	(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
✓	1.0b	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)

Compiler

Compiled 61 to 47 computations (23% saved)

series11.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
3.0ms	v	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
3.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)
1.0ms	v	@	inf	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
1.0ms	v	@	0	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary64`
813×	`add-log-exp_binary64`
813×	`expm1-log1p-u_binary64`
812×	`log1p-expm1-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	245	36
2	2256	36

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3)

(cbrt.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))

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

661×	`unswap-sqr_binary64`
615×	`fma-neg_binary64`
543×	`fma-def_binary64`
365×	`associate-+l+_binary64`
346×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	648
1	57	504
2	95	432
3	186	432
4	506	432
5	2222	432
6	7035	432

Stop Event

1×	node limit

Counts

97 → 66

Calls

Call 1

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

Outputs
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (acos.f64 (fma.f64 v (.f64 4 v) -1)) 1)))
(.f64 1 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (.f64 v 4) -1)))))
(log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3)
(cbrt.f64 (log.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))
(cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 3) 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 3) 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 3) 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (exp.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 3) 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (pow.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1) (pow.f64 1 1/3)) 1)
(+.f64 (pow.f64 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 1) -1)
(+.f64 -1 (+.f64 1 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))

localize106.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.5b	(asin.f64 (fma.f64 v (*.f64 v 4) -1))
	1.0b	(cbrt.f64 (*.f64 (PI.f64) 1/2))
✓	1.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 6)

Compiler

Compiled 70 to 54 computations (22.9% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`pow1_binary64`
593×	`add-log-exp_binary64`
593×	`log1p-expm1-u_binary64`
593×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	163	10
2	1748	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/2))) 6)

Outputs

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

21 → 21

Calls

Call 1

Inputs

Outputs

eval897.0ms (6%)

Compiler: Compiled 15178 to 11611 computations (23.5% saved)

prune157.0ms (1.1%)

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	553	12	565
Fresh	5	13	18
Picked	1	0	1
Done	1	7	8
Total	560	32	592

Error

0.5b

Counts

592 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
✓	1.8b	(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
	0.8b	(acos.f64 (fma.f64 v (*.f64 v 4) -1))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
	2.3b	(cbrt.f64 (exp.f64 (.f64 3 (log.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1))))))
	0.8b	(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (+.f64 1 v)) (+.f64 v -1)))
	0.8b	(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
	0.8b	(acos.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (*.f64 (-.f64 1 v) (+.f64 v 1))))
	5.0b	(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 3) 3))
	3.2b	(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2) 4) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
	62.3b	(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
✓	1.4b	(acos.f64 -1)
	2.0b	(expm1.f64 (log1p.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.0b	(acos.f64 (+.f64 -1 v))
	1.6b	(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (+.f64 0 (.f64 4 (.f64 v v))) (*.f64 4 (pow.f64 v 4))) 1)) 3))
	1.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) 3))
	2.3b	(expm1.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3) 3))
	2.4b	(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2))
	3.3b	(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2)) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))))
✓	3.5b	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
	2.0b	(expm1.f64 (-.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))
	0.8b	(-.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1)
	1.8b	(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
	2.0b	(expm1.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)))
✓	0.8b	(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
	1.4b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
	4.5b	(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) 3))
✓	0.5b	(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
✓	0.5b	(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
	2.4b	(pow.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) 2) 3/2)
	3.9b	(expm1.f64 (expm1.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))
	2.3b	(expm1.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1) 3))

Compiler

Compiled 555 to 447 computations (19.5% saved)

regimes107.0ms (0.7%)

Counts

54 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 (-.f64 1 v) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
(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 (-.f64 1 v) (+.f64 v 1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1)
(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (+.f64 1 v)) (+.f64 v -1)))
(acos.f64 (.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (.f64 v v) -5 1) (+.f64 v -1))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (+.f64 0 (.f64 4 (.f64 v v))) (*.f64 4 (pow.f64 v 4))) 1)) 3))
(cbrt.f64 (exp.f64 (.f64 3 (log.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1))))))
(expm1.f64 (log1p.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))) 3))
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3))
(expm1.f64 (-.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1/3))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
(expm1.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3) 3))
(expm1.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1) 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)
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) 3/2))
(expm1.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))))) 3))
(expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 3) 3))
(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1)) 3)) 3))
(expm1.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))))
(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 (fma.f64 v (*.f64 v 4) -1))))
(expm1.f64 (.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))))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/2) 1/6) 2)) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v 4) -1))))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 6) (cbrt.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(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)))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (pow.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (-.f64 (.f64 (PI.f64) 1/2) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(/.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)))))
(expm1.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2)) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(-.f64 (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2) 4) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) 2) 3) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/2)) (.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))))) (fma.f64 (PI.f64) 1/2 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(expm1.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2) 3) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (expm1.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))
(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 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) 2) 4) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))) (neg.f64 (.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)))) (fma.f64 (neg.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) (.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))))))
(+.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
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

Calls

7 calls:

24.0ms	v
11.0ms	(*.f64 v v)
11.0ms	(*.f64 v v)
7.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
5.0ms	(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 1268 to 946 computations (25.4% saved)

regimes53.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 (-.f64 1 v) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
(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 (-.f64 1 v) (+.f64 v 1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1)
(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (+.f64 1 v)) (+.f64 v -1)))
(acos.f64 (.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (.f64 v v) -5 1) (+.f64 v -1))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (+.f64 0 (.f64 4 (.f64 v v))) (*.f64 4 (pow.f64 v 4))) 1)) 3))
(cbrt.f64 (exp.f64 (.f64 3 (log.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1))))))
(expm1.f64 (log1p.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))) 3))
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))) 3)
(expm1.f64 (log1p.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)) 3))
(expm1.f64 (-.f64 (+.f64 1 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 1/3))
(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)))) 3))
(expm1.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 4 v) -1)) 1)) 1/3) 3))
(expm1.f64 (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))) 1) 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)

Outputs
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))

Calls

7 calls:

14.0ms	v
6.0ms	(*.f64 v v)
5.0ms	(*.f64 v v)
4.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
4.0ms	(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 457 to 344 computations (24.7% saved)

regimes37.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 (-.f64 1 v) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
(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 (-.f64 1 v) (+.f64 v 1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1)
(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (+.f64 1 v)) (+.f64 v -1)))
(acos.f64 (.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (.f64 v v) -5 1) (+.f64 v -1))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (fma.f64 v v -1))))
(cbrt.f64 (pow.f64 (acos.f64 (-.f64 (+.f64 (+.f64 0 (.f64 4 (.f64 v v))) (*.f64 4 (pow.f64 v 4))) 1)) 3))
(cbrt.f64 (exp.f64 (.f64 3 (log.f64 (acos.f64 (fma.f64 v (.f64 v 4) -1))))))

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

Calls

7 calls:

9.0ms	v
5.0ms	(*.f64 v v)
4.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
4.0ms	(*.f64 v v)
3.0ms	(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 284 to 208 computations (26.8% saved)

regimes24.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (+.f64 -1 v))
(acos.f64 (*.f64 (-.f64 1 v) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) -1))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
(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 (-.f64 1 v) (+.f64 v 1))))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(acos.f64 (fma.f64 v (*.f64 v 4) -1))
(-.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1) 1)
(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (+.f64 1 v)) (+.f64 v -1)))
(acos.f64 (.f64 (/.f64 1 (+.f64 1 v)) (/.f64 (fma.f64 (.f64 v v) -5 1) (+.f64 v -1))))
(expm1.f64 (log1p.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))))
(pow.f64 (sqrt.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1))) 2)
(cbrt.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 3))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))
(expm1.f64 (log.f64 (+.f64 (acos.f64 (fma.f64 v (*.f64 v 4) -1)) 1)))

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

Calls

4 calls:

9.0ms	v
4.0ms	(*.f64 v v)
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
3.0ms	(/.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 204 to 151 computations (26% saved)

regimes6.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.4b	1	`v`

Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes7.0ms (0%)

Accuracy

Total -1.6b remaining (-112.1%)

Threshold costs -1.6b (-112.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(acos.f64 -1)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
1.4b	1	`v`

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	55	109
2	70	109
3	80	109
4	85	109
5	86	109

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v 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 1 v)) (-.f64 -1 v)))
(acos.f64 -1)

Outputs
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))
(-.f64 (.f64 (PI.f64) 1/2) (asin.f64 (/.f64 (fma.f64 (.f64 v 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 -5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(acos.f64 (*.f64 (/.f64 1 (+.f64 1 v)) (-.f64 -1 v)))
(acos.f64 (*.f64 (/.f64 1 (+.f64 v 1)) (-.f64 -1 v)))
(acos.f64 -1)

Compiler

Compiled 78 to 59 computations (24.4% saved)

soundness0.0ms (0%)

end54.0ms (0.4%)

Compiler: Compiled 73 to 52 computations (28.8% saved)