Details

analyze316.0ms (14.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
18.7%	64%	17.3%	9
25%	51.5%	23.5%	10
31.2%	44.9%	23.9%	11
37.1%	37.8%	25.1%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (49.8%)

Results

928.0ms	8256×	body	256	valid
163.0ms	1222×	body	256	invalid

preprocess42.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

750×	`fma-def_binary64`
325×	`fma-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
107×	`associate-r_binary64`
95×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	55	44
2	133	44
3	296	44
4	453	44
5	639	44
6	881	44
7	1131	44
8	1748	44
9	2156	44
10	2174	44
11	2174	44
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

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

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

Symmetry

(sort y z)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify18.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

335×	`fma-def_binary64`
126×	`fma-neg_binary64`
61×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-neg-in_binary64`
28×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	163	11
5	235	11
6	342	11
7	441	11
8	586	11
9	834	11
10	934	11
11	946	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x x (.f64 y (.f64 z -4)))
▶	0.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 y 4) z)
	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
✓	0.2b	(.f64 (.f64 y 4) z)

Compiler

Compiled 27 to 14 computations (48.1% saved)

series10.0ms (0.4%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (.f64 y 4) z)
1.0ms	y	@	0	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
1.0ms	y	@	0	(.f64 (.f64 y 4) z)
1.0ms	y	@	inf	(.f64 (.f64 y 4) z)
1.0ms	x	@	0	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite73.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log-prod_binary64`
407×	`prod-exp_binary64`
365×	`exp-prod_binary64`
356×	`fma-def_binary64`
323×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	203	18
2	2659	18

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 y 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 y 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 4 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 4 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 4 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 y (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 4 z)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 4 z))))) (sqrt.f64 (log.f64 (.f64 y (.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 4 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (.f64 4 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (.f64 4 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 4 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 4 z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 y (.f64 4 z))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 y 4)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 y 4)) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 y 4)) 1) (.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (log.f64 (.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (.f64 (log.f64 (.f64 y 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 (.f64 y 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 4 z)) (.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 4 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 z (.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 (.f64 z (.f64 y -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (fma.f64 z (.f64 y -4) (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (fma.f64 (neg.f64 (.f64 4 z)) y (.f64 y (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (fma.f64 (.f64 z (.f64 y -4)) 1 (.f64 y (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 4 z)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 4 z))) 2) (.f64 y (.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (.f64 (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (+.f64 (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z))) (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z))) (fma.f64 x x (.f64 z (.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 y -4)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x (.f64 z (.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 z (.f64 y -4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 z (.f64 y -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (.f64 z (.f64 y -4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (.f64 z (.f64 y -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x (.f64 z (.f64 y -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x (.f64 z (.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x (.f64 z (.f64 y -4)))) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 z (.f64 y -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 z (.f64 y -4)))) 2) (cbrt.f64 (fma.f64 x x (.f64 z (.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y -4)))) (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y (.f64 4 z)) 3)) (/.f64 1 (fma.f64 (.f64 y (.f64 4 z)) (fma.f64 y (.f64 4 z) (.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y (.f64 4 z)) 2)) (/.f64 1 (fma.f64 y (.f64 4 z) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 (.f64 y (.f64 4 z)))) (-.f64 x (sqrt.f64 (.f64 y (.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 y (.f64 4 z)) (fma.f64 y (.f64 4 z) (.f64 x x)) (pow.f64 x 4)) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y (.f64 4 z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (.f64 4 z) (.f64 x x)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y (.f64 4 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y (.f64 4 z)) 3)) (fma.f64 (.f64 y (.f64 4 z)) (fma.f64 y (.f64 4 z) (.f64 x x)) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y (.f64 4 z)) 2)) (fma.f64 y (.f64 4 z) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y (.f64 4 z)) 3))) (neg.f64 (fma.f64 (.f64 y (.f64 4 z)) (fma.f64 y (.f64 4 z) (.f64 x x)) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y (.f64 4 z)) 2))) (neg.f64 (fma.f64 y (.f64 4 z) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 z (.f64 y -4)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 z (.f64 y -4)) 2) (.f64 (.f64 x x) (.f64 z (.f64 y -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x x (.f64 z (.f64 y -4))) 3) (pow.f64 (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z))) 3)) (+.f64 (pow.f64 (fma.f64 x x (.f64 z (.f64 y -4))) 2) (-.f64 (pow.f64 (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z))) 2) (.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 z (.f64 y -4)) 2)) (-.f64 (.f64 x x) (.f64 z (.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 z (.f64 y -4))) 2) (pow.f64 (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z))) 2)) (-.f64 (fma.f64 x x (.f64 z (.f64 y -4))) (fma.f64 z (.f64 y -4) (.f64 y (.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (.f64 z (.f64 y -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (.f64 z (.f64 y -4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (.f64 z (.f64 y -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (.f64 z (.f64 y -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (.f64 z (.f64 y -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x x (.f64 z (.f64 y -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 y (.f64 4 z)) (fma.f64 y (.f64 4 z) (.f64 x x)) (pow.f64 x 4)) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y (.f64 4 z)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (.f64 4 z) (.f64 x x)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y (.f64 4 z)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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Outputs

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

simplify167.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

1430×	`sqr-pow_binary64`
743×	`pow-sqr_binary64`
618×	`cube-prod_binary64`
604×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	570
1	25	516
2	51	516
3	70	516
4	99	516
5	196	516
6	604	516
7	1472	516
8	1656	516
9	1840	516
10	2048	516
11	2335	516
12	2726	516
13	3206	516
14	3767	516
15	4449	516
16	5284	516
17	5676	516
18	5966	516
19	6246	516
20	6314	516
21	6348	516
22	7289	516

Stop Event

1×	node limit

Counts

254 → 201

Calls

Call 1

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

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

localize11.0ms (0.5%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

eval88.0ms (4%)

Compiler: Compiled 4112 to 2553 computations (37.9% saved)

prune35.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	198	5	203

Error

Counts

203 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.8b	(.f64 z (.f64 y -4))
✓	0b	(fma.f64 x x (.f64 y (.f64 z -4)))
▶	37.3b	(*.f64 x x)
▶	22.6b	(.f64 -4 (.f64 y z))
✓	0.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 -4 (.f64 y z))
✓	0.0b	(.f64 -4 (.f64 y z))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 -4 (.f64 y z))
0.0ms	z	@	0	(.f64 -4 (.f64 y z))
0.0ms	y	@	inf	(.f64 -4 (.f64 y z))
0.0ms	y	@	-inf	(.f64 -4 (.f64 y z))
0.0ms	z	@	inf	(.f64 -4 (.f64 y z))

rewrite38.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 -4 (.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -4 (.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -4 (.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -4 (.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -4 (.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 y z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -4 (.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -4 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -4 (.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -4 (*.f64 y z))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (*.f64 y z))))))))

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize4.0ms (0.2%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 z (.f64 y -4))
✓	0.2b	(.f64 z (.f64 y -4))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 z (.f64 y -4))
0.0ms	y	@	-inf	(.f64 z (.f64 y -4))
0.0ms	z	@	-inf	(.f64 z (.f64 y -4))
0.0ms	z	@	inf	(.f64 z (.f64 y -4))
0.0ms	y	@	inf	(.f64 z (.f64 y -4))

rewrite37.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
515×	`add-log-exp_binary64`
515×	`log1p-expm1-u_binary64`
515×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1401	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 13

Calls

Call 1

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

Outputs
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))

eval5.0ms (0.2%)

Compiler: Compiled 183 to 124 computations (32.2% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	24	5	29

Error

Counts

29 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.8b	(.f64 z (.f64 y -4))
✓	0b	(fma.f64 x x (.f64 y (.f64 z -4)))
✓	37.3b	(*.f64 x x)
✓	22.6b	(.f64 -4 (.f64 y z))
✓	0.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Compiler

Compiled 45 to 31 computations (31.1% saved)

regimes49.0ms (2.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

10 calls:

6.0ms	(.f64 (.f64 y 4) z)
6.0ms	z
5.0ms	(*.f64 y 4)
5.0ms	(*.f64 y 4)
5.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))`
0b	1	`(*.f64 x x)`
0b	1	`(*.f64 x x)`
0b	1	`(.f64 (.f64 y 4) z)`
0b	1	`(.f64 (.f64 y 4) z)`
0b	1	`(*.f64 y 4)`
0b	1	`(*.f64 y 4)`

Compiler

Compiled 97 to 65 computations (33% saved)

regimes33.0ms (1.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

6.0ms	z
6.0ms	(*.f64 y 4)
5.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))`
0.3b	1	`(*.f64 x x)`
0.3b	1	`(.f64 (.f64 y 4) z)`
0.3b	1	`(*.f64 y 4)`

Compiler

Compiled 69 to 46 computations (33.3% saved)

regimes57.0ms (2.5%)

Accuracy

Total -49.6b remaining (-511.1%)

Threshold costs -49.6b (-511.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	y
12.0ms	z
11.0ms	x
9.0ms	(*.f64 x x)

Results

Error	Segments	Branch
9.7b	3	`x`
16.0b	5	`y`
13.6b	3	`z`
10.0b	2	`(*.f64 x x)`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch42.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1961877894580993.5	2.8902165604376694e+21
22.0ms	-2.3658467244060542e-26	-1.848080216612733e-28

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	33	55
2	51	55
3	59	55
4	65	55
5	67	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (.f64 y (.f64 z -4)))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(if (<=.f64 x -8243772653087143/348449143727040986586495598010130648530944) (.f64 x x) (if (<=.f64 x 3923755789161987/2) (.f64 -4 (.f64 y z)) (.f64 x x)))
(*.f64 x x)

Outputs
(fma.f64 x x (.f64 y (.f64 z -4)))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))
(+.f64 (.f64 x x) (.f64 z (*.f64 y -4)))
(if (<=.f64 x -8243772653087143/348449143727040986586495598010130648530944) (.f64 x x) (if (<=.f64 x 3923755789161987/2) (.f64 -4 (.f64 y z)) (.f64 x x)))
(*.f64 x x)

end34.0ms (1.5%)

Stop Event

1×

done

Remove

(sort y z)

Compiler

Compiled 115 to 67 computations (41.7% saved)

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	163	11
5	235	11
6	342	11
7	441	11
8	586	11
9	834	11
10	934	11
11	946	11

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	163	11
5	235	11
6	342	11
7	441	11
8	586	11
9	834	11
10	934	11
11	946	11

Details

analyze316.0ms (14.2%)

sample1.1s (49.8%)

preprocess42.0ms (1.9%)

simplify18.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize11.0ms (0.5%)

series10.0ms (0.4%)

rewrite73.0ms (3.3%)

simplify167.0ms (7.5%)

localize11.0ms (0.5%)

eval88.0ms (4%)

prune35.0ms (1.6%)

localize6.0ms (0.3%)

series2.0ms (0.1%)

rewrite38.0ms (1.7%)

simplify6.0ms (0.3%)

localize4.0ms (0.2%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite37.0ms (1.7%)

simplify10.0ms (0.5%)

eval5.0ms (0.2%)

prune6.0ms (0.3%)

regimes49.0ms (2.2%)

regimes33.0ms (1.5%)

regimes57.0ms (2.5%)

bsearch42.0ms (1.9%)

simplify4.0ms (0.2%)

end34.0ms (1.5%)

Profiling

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	163	11
5	235	11
6	342	11
7	441	11
8	586	11
9	834	11
10	934	11
11	946	11