Details

analyze1.1s (25%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
9.4%	78%	12.7%	11
10.9%	68.6%	20.5%	12
14.8%	59%	26.2%	13
18.5%	54.3%	27.1%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.4s (31.6%)

Results

1.0s	8256×	body	128	valid
427.0ms	3619×	body	128	invalid

preprocess36.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

819×	`fma-def_binary64`
629×	`fma-neg_binary64`
386×	`associate-l_binary64`
328×	`associate-r_binary64`
306×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	133
1	113	119
2	388	119
3	1707	119
4	4575	119
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 y y) (.f64 (.f64 x 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 z z) (.f64 (.f64 y 4) (-.f64 (.f64 x x) t)))
(-.f64 (.f64 t t) (.f64 (.f64 y 4) (-.f64 (.f64 z z) x)))
(-.f64 (.f64 x x) (.f64 (.f64 z 4) (-.f64 (.f64 y y) t)))
(-.f64 (.f64 x x) (.f64 (.f64 t 4) (-.f64 (.f64 z z) y)))
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 t t) z)))

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 x x) (.f64 y (.f64 4 (-.f64 (.f64 z z) t))))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 y -4)))
(fma.f64 x x (.f64 y (.f64 (-.f64 (*.f64 z z) t) -4)))
(-.f64 (.f64 y y) (.f64 (.f64 x 4) (-.f64 (.f64 z z) t)))
(-.f64 (.f64 y y) (.f64 x (.f64 4 (-.f64 (.f64 z z) t))))
(fma.f64 y y (.f64 (-.f64 (.f64 z z) t) (*.f64 x -4)))
(fma.f64 x (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 y y))
(-.f64 (.f64 z z) (.f64 (.f64 y 4) (-.f64 (.f64 x x) t)))
(-.f64 (.f64 z z) (.f64 y (.f64 4 (-.f64 (.f64 x x) t))))
(fma.f64 z z (.f64 (-.f64 (.f64 x x) t) (*.f64 y -4)))
(fma.f64 y (.f64 (-.f64 (.f64 x x) t) -4) (*.f64 z z))
(fma.f64 y (.f64 4 (-.f64 t (.f64 x x))) (*.f64 z z))
(-.f64 (.f64 t t) (.f64 (.f64 y 4) (-.f64 (.f64 z z) x)))
(-.f64 (.f64 t t) (.f64 y (.f64 4 (-.f64 (.f64 z z) x))))
(fma.f64 t t (.f64 (-.f64 (.f64 z z) x) (*.f64 y -4)))
(fma.f64 y (.f64 (-.f64 (.f64 z z) x) -4) (*.f64 t t))
(-.f64 (.f64 x x) (.f64 (.f64 z 4) (-.f64 (.f64 y y) t)))
(-.f64 (.f64 x x) (.f64 z (*.f64 4 (fma.f64 y y (neg.f64 t)))))
(fma.f64 x x (.f64 (fma.f64 y y (neg.f64 t)) (.f64 z -4)))
(fma.f64 (fma.f64 y y (neg.f64 t)) (.f64 z -4) (.f64 x x))
(fma.f64 x x (.f64 (.f64 4 z) (-.f64 t (*.f64 y y))))
(-.f64 (.f64 x x) (.f64 (.f64 t 4) (-.f64 (.f64 z z) y)))
(-.f64 (.f64 x x) (.f64 (.f64 4 t) (-.f64 (.f64 z z) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) y) (*.f64 t -4)))
(fma.f64 t (.f64 4 (-.f64 y (.f64 z z))) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 t t) z)))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) (fma.f64 t t (neg.f64 z))))
(fma.f64 x x (.f64 (fma.f64 t t (neg.f64 z)) (.f64 y -4)))
(fma.f64 x x (.f64 y (.f64 (-.f64 (*.f64 t t) z) -4)))
(fma.f64 y (.f64 (-.f64 (.f64 t t) z) -4) (*.f64 x x))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-neg_binary64`
525×	`fma-def_binary64`
182×	`cancel-sign-sub-inv_binary64`
159×	`associate-l_binary64`
152×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	25	17
2	77	17
3	302	17
4	829	17
5	1620	17
6	2745	17
7	3158	17
8	3307	17
9	3349	17
10	3365	17
11	3365	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))

Outputs
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 y -4)))
(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

eval1.0ms (0%)

Compiler: Compiled 29 to 14 computations (51.7% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.3b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 z z) t)
✓	6.8b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

series10.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	y	@	0	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	z	@	0	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	z	@	inf	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
1.0ms	t	@	0	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`prod-diff_binary64`
233×	`fma-def_binary64`
202×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`
172×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	230	24
2	2889	24

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

Inputs
(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
(-.f64 (*.f64 z z) t)

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

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def_binary64`
484×	`unswap-sqr_binary64`
345×	`distribute-rgt-neg-in_binary64`
318×	`associate-l_binary64`
260×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	871
1	62	869
2	137	869
3	295	869
4	628	869
5	1513	869
6	2702	869

Stop Event

1×	node limit

Counts

194 → 145

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(*.f64 -1 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(*.f64 -1 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(*.f64 -1 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(+.f64 (pow.f64 z 2) (*.f64 -1 t))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 (*.f64 4 y) t))
(fma.f64 x x (.f64 t (.f64 y 4)))
(fma.f64 y (.f64 t 4) (.f64 x x))
(fma.f64 x x (.f64 y (.f64 t 4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 -4 (.f64 (*.f64 z z) y))
(.f64 y (.f64 (*.f64 z z) -4))
(.f64 -4 (.f64 z (*.f64 z y)))
(.f64 z (.f64 z (*.f64 -4 y)))
(.f64 (.f64 z z) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 y (pow.f64 z 2)))
(.f64 -4 (.f64 (*.f64 z z) y))
(.f64 y (.f64 (*.f64 z z) -4))
(.f64 -4 (.f64 z (*.f64 z y)))
(.f64 z (.f64 z (*.f64 -4 y)))
(.f64 (.f64 z z) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(fma.f64 -4 (.f64 (.f64 z z) y) (*.f64 x x))
(fma.f64 x x (.f64 y (.f64 (*.f64 z z) -4)))
(fma.f64 (.f64 z z) (.f64 -4 y) (*.f64 x x))
(fma.f64 z (.f64 z (.f64 -4 y)) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 z (*.f64 z y))))
(fma.f64 x x (.f64 (.f64 z z) (*.f64 -4 y)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 (.f64 4 y) t)
(.f64 t (.f64 y 4))
(.f64 y (.f64 t 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 (.f64 4 y) t)
(.f64 t (.f64 y 4))
(.f64 y (.f64 t 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 (-.f64 (.f64 z z) t) (*.f64 -4 y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)
(+.f64 (pow.f64 z 2) (*.f64 -1 t))
(-.f64 (*.f64 z z) t)

eval38.0ms (0.8%)

Compiler: Compiled 2593 to 1027 computations (60.4% saved)

prune268.0ms (5.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	5	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	6	146

Error

6.7b

Counts

146 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	7.4b	(fma.f64 y (.f64 (fma.f64 (.f64 z (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (neg.f64 t)) -4) (.f64 x x))
✓	7.3b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
	37.3b	(fma.f64 y (.f64 (.f64 (-.f64 (pow.f64 z 6) (pow.f64 t 3)) (/.f64 1 (fma.f64 t (fma.f64 z z t) (pow.f64 z 4)))) -4) (*.f64 x x))
▶	7.4b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
	44.3b	(*.f64 x x)
	37.7b	(.f64 y (.f64 t 4))

Compiler

Compiled 196 to 130 computations (33.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 z) z)
✓	0.6b	(cbrt.f64 z)
✓	6.8b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
✓	25.8b	(cbrt.f64 (*.f64 z z))

series19.0ms (0.4%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
2.0ms	y	@	0	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
2.0ms	z	@	0	(cbrt.f64 z)
2.0ms	x	@	0	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
1.0ms	t	@	0	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))

rewrite56.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`prod-diff_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
164×	`fma-def_binary64`
146×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	297	32
2	3473	30

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 z z))
(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
(cbrt.f64 z)
(*.f64 (cbrt.f64 z) z)

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

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
484×	`unswap-sqr_binary64`
347×	`distribute-rgt-neg-in_binary64`
308×	`associate-l_binary64`
263×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	577
1	53	571
2	125	571
3	271	571
4	605	571
5	1468	571
6	2663	571

Stop Event

1×	node limit

Counts

128 → 103

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(fma.f64 -4 (.f64 (.f64 z z) y) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 z z) (*.f64 -4 y)))
(fma.f64 (.f64 z z) (.f64 -4 y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 z (*.f64 z y))))
(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 (.f64 4 t) y)
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 (.f64 4 t) y)
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))

eval31.0ms (0.7%)

Compiler: Compiled 1930 to 814 computations (57.8% saved)

prune197.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	104	5	109

Error

0.0b

Counts

109 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.4b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
▶	7.5b	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
	25.3b	(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
✓	7.3b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
	35.7b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (pow.f64 (pow.f64 z 1/6) 2) z) (neg.f64 t)) -4) (.f64 x x))

Compiler

Compiled 160 to 104 computations (35% saved)

localize62.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (cbrt.f64 z) z)
✓	0.5b	(pow.f64 (cbrt.f64 z) 2)
	0.6b	(cbrt.f64 z)
✓	6.8b	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))

series13.0ms (0.3%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
2.0ms	y	@	0	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
2.0ms	x	@	inf	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
1.0ms	z	@	inf	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
1.0ms	x	@	0	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))

rewrite45.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

379×	`prod-diff_binary64`
228×	`expm1-udef_binary64`
228×	`log1p-udef_binary64`
148×	`add-sqr-sqrt_binary64`
147×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	303	23
2	3484	21

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
(pow.f64 (cbrt.f64 z) 2)

Outputs

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

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

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
484×	`unswap-sqr_binary64`
347×	`distribute-rgt-neg-in_binary64`
308×	`associate-l_binary64`
263×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	590
1	53	582
2	125	582
3	271	582
4	605	582
5	1468	582
6	2663	582

Stop Event

1×	node limit

Counts

83 → 57

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 (.f64 4 t) y))
(fma.f64 t (.f64 y 4) (.f64 x x))
(fma.f64 x x (.f64 t (.f64 y 4)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(fma.f64 -4 (.f64 (.f64 z z) y) (*.f64 x x))
(fma.f64 x x (.f64 (.f64 z z) (*.f64 -4 y)))
(fma.f64 (.f64 z z) (.f64 -4 y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 z (*.f64 z y))))
(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 (.f64 4 t) y)
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 (.f64 4 t) y)
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(.f64 y (.f64 4 (-.f64 t (*.f64 z z))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 x x (.f64 y (.f64 4 (-.f64 t (*.f64 z z)))))

eval38.0ms (0.8%)

Compiler: Compiled 2310 to 1024 computations (55.7% saved)

prune281.0ms (6.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	120	5	125

Error

0.0b

Counts

125 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.4b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
✓	7.5b	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
	25.3b	(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
▶	13.1b	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 (.f64 z z) 1/6) z) (neg.f64 t)) -4) (.f64 x x))
✓	7.3b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))

Compiler

Compiled 138 to 90 computations (34.8% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 z) 2)
	0.6b	(cbrt.f64 z)
✓	6.8b	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 (.f64 z z) 1/6) z) (neg.f64 t)) -4) (.f64 x x))
✓	28.0b	(pow.f64 (*.f64 z z) 1/6)

series42.0ms (0.9%)

Counts

2 → 52

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	z	@	0	(pow.f64 (*.f64 z z) 1/6)
11.0ms	z	@	inf	(pow.f64 (*.f64 z z) 1/6)
2.0ms	z	@	-inf	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 (.f64 z z) 1/6) z) (neg.f64 t)) -4) (.f64 x x))
0.0ms	z	@	-inf	(pow.f64 (*.f64 z z) 1/6)
0.0ms	z	@	inf	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 (.f64 z z) 1/6) z) (neg.f64 t)) -4) (.f64 x x))

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`prod-diff_binary64`
254×	`log1p-udef_binary64`
179×	`add-sqr-sqrt_binary64`
171×	`pow1_binary64`
169×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	370	20
2	4192	20

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(pow.f64 (*.f64 z z) 1/6)
(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 (.f64 z z) 1/6) z) (neg.f64 t)) -4) (.f64 x x))

Outputs

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

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

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

900×	`unswap-sqr_binary64`
767×	`fma-def_binary64`
380×	`associate-l_binary64`
261×	`fma-neg_binary64`
246×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	634
1	68	626
2	147	626
3	319	626
4	706	626
5	1742	626
6	3212	626

Stop Event

1×	node limit

Counts

96 → 61

Calls

Call 1

Inputs
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 z 1/3)
(pow.f64 (*.f64 -1 z) 1/3)
(pow.f64 (*.f64 -1 z) 1/3)
(pow.f64 (*.f64 -1 z) 1/3)
(pow.f64 (*.f64 -1 z) 1/3)
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 4 (.f64 y t))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))

Outputs
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 z 1/3)
(cbrt.f64 z)
(pow.f64 (*.f64 -1 z) 1/3)
(cbrt.f64 (neg.f64 z))
(pow.f64 (*.f64 -1 z) 1/3)
(cbrt.f64 (neg.f64 z))
(pow.f64 (*.f64 -1 z) 1/3)
(cbrt.f64 (neg.f64 z))
(pow.f64 (*.f64 -1 z) 1/3)
(cbrt.f64 (neg.f64 z))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 t (.f64 y 4)))
(fma.f64 t (.f64 y 4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 t (.f64 y 4)))
(fma.f64 t (.f64 y 4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 t (.f64 y 4)))
(fma.f64 t (.f64 y 4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 4 (.f64 y t)))
(+.f64 (.f64 x x) (.f64 4 (*.f64 t y)))
(fma.f64 x x (.f64 t (.f64 y 4)))
(fma.f64 t (.f64 y 4) (.f64 x x))
(+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (pow.f64 x 2))
(fma.f64 -4 (.f64 (.f64 z z) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (*.f64 y z) z)))
(fma.f64 x x (.f64 z (.f64 (*.f64 z y) -4)))
(fma.f64 z (.f64 z (.f64 -4 y)) (*.f64 x x))
(fma.f64 (.f64 z z) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 4 (.f64 y t))
(.f64 4 (.f64 t y))
(.f64 t (.f64 y 4))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 -4 (.f64 y (pow.f64 z 2))) (.f64 4 (.f64 y t))))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y))
(.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))
(+.f64 (.f64 -4 (.f64 (-.f64 (pow.f64 z 2) t) y)) (pow.f64 x 2))
(fma.f64 -4 (.f64 (-.f64 (.f64 z z) t) y) (*.f64 x x))
(fma.f64 x x (.f64 -4 (.f64 (-.f64 (*.f64 z z) t) y)))
(fma.f64 (-.f64 (.f64 z z) t) (.f64 -4 y) (*.f64 x x))

eval49.0ms (1.1%)

Compiler: Compiled 2177 to 995 computations (54.3% saved)

prune163.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	104	6	110

Error

0.0b

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.4b	(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
✓	7.5b	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
	47.1b	(.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 (+.f64 (.f64 z z) t) -4) (.f64 x x)) 2)) (cbrt.f64 (fma.f64 y (.f64 (+.f64 (.f64 z z) t) -4) (*.f64 x x))))
✓	7.3b	(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
	25.3b	(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
✓	13.1b	(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 (.f64 z z) 1/6) z) (neg.f64 t)) -4) (.f64 x x))

Compiler

Compiled 132 to 82 computations (37.9% saved)

regimes229.0ms (5%)

Accuracy

Total -63.6b remaining (-90469.2%)

Threshold costs -63.6b (-90469.2%)

Counts

12 → 2

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 (+.f64 (.f64 z z) t) -4) (.f64 x x)) 2)) (cbrt.f64 (fma.f64 y (.f64 (+.f64 (.f64 z z) t) -4) (*.f64 x x))))
(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (pow.f64 (.f64 z z) 1/6) z) (neg.f64 t)) -4) (.f64 x x))
(fma.f64 y (.f64 (fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (*.f64 x x))
(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))
(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (pow.f64 (pow.f64 z 1/6) 2) z) (neg.f64 t)) -4) (.f64 x x))
(fma.f64 y (.f64 (fma.f64 (.f64 z (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (neg.f64 t)) -4) (.f64 x x))
(fma.f64 y (.f64 (.f64 (-.f64 (pow.f64 z 6) (pow.f64 t 3)) (/.f64 1 (fma.f64 t (fma.f64 z z t) (pow.f64 z 4)))) -4) (*.f64 x x))
(fma.f64 y (.f64 (fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) z) (neg.f64 t)) -4) (.f64 x x))
(*.f64 x x)
(.f64 y (.f64 t 4))
(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))

Outputs
(fma.f64 y (.f64 (-.f64 (.f64 z z) t) -4) (*.f64 x x))
(fma.f64 x x (.f64 z (.f64 z (*.f64 -4 y))))

Results

Time	Error	Segments	Branch
8.0ms	7.3b	1	`x`
21.0ms	5.2b	3	`y`
21.0ms	0.1b	3	`z`
9.0ms	7.3b	1	`t`
35.0ms	0.1b	3	`(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))`
6.0ms	7.3b	1	`(*.f64 x x)`
18.0ms	0.1b	3	`(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))`
18.0ms	0.1b	3	`(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))`
21.0ms	5.2b	3	`(*.f64 y 4)`
22.0ms	5.2b	3	`(*.f64 y 4)`
14.0ms	0.1b	2	`(-.f64 (*.f64 z z) t)`
14.0ms	0.1b	2	`(-.f64 (*.f64 z z) t)`
8.0ms	0.1b	2	`(*.f64 z z)`
9.0ms	0.1b	2	`(*.f64 z z)`

Compiler

Compiled 314 to 170 computations (45.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Point		Range
0.0ms	2e+287	∈ [	1.612246981291976e+287	,	2.6754341594115887e+287	]

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	25	43
2	30	43
3	32	43
4	33	43

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (*.f64 z z) t) 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496) (fma.f64 y (*.f64 (-.f64 (*.f64 z z) t) -4) (*.f64 x x)) (fma.f64 x x (*.f64 z (*.f64 z (*.f64 -4 y)))))

Outputs

(if (<=.f64 (-.f64 (*.f64 z z) t) 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496) (fma.f64 y (*.f64 (-.f64 (*.f64 z z) t) -4) (*.f64 x x)) (fma.f64 x x (*.f64 z (*.f64 z (*.f64 -4 y)))))

(if (<=.f64 (-.f64 (*.f64 z z) t) 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496) (fma.f64 y (*.f64 (-.f64 (*.f64 z z) t) -4) (*.f64 x x)) (fma.f64 x x (*.f64 z (*.f64 z (*.f64 y -4)))))

end22.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 68 to 36 computations (47.1% saved)

Details

analyze1.1s (25%)

sample1.4s (31.6%)

preprocess36.0ms (0.8%)

simplify46.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0.2%)

series10.0ms (0.2%)

rewrite57.0ms (1.2%)

simplify48.0ms (1%)

eval38.0ms (0.8%)

prune268.0ms (5.9%)

localize16.0ms (0.3%)

series19.0ms (0.4%)

rewrite56.0ms (1.2%)

simplify40.0ms (0.9%)

eval31.0ms (0.7%)

prune197.0ms (4.3%)

localize62.0ms (1.3%)

series13.0ms (0.3%)

rewrite45.0ms (1%)

simplify39.0ms (0.9%)

eval38.0ms (0.8%)

prune281.0ms (6.1%)

localize17.0ms (0.4%)

series42.0ms (0.9%)

rewrite50.0ms (1.1%)

simplify65.0ms (1.4%)

eval49.0ms (1.1%)

prune163.0ms (3.6%)

regimes229.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end22.0ms (0.5%)

Profiling