Details

analyze294.0ms (11.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
14.8%	12.5%	71.8%	0.1%	15.6%	0%	0%	8
22.6%	18.7%	64%	0.1%	17.2%	0%	0%	9
32.7%	25%	51.5%	0.1%	23.4%	0%	0%	10
41%	31.2%	44.9%	0.1%	23.8%	0%	0%	11
49.5%	37.1%	37.8%	0.1%	25%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.4s (57%)

Results

1.1s	8256×	body	256	valid
283.0ms	1183×	body	256	infinite

Bogosity

preprocess76.0ms (3%)

Algorithm

2×	egg-herbie

Rules

750×	`fma-def_binary64`
325×	`fma-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
113×	`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	457	44
5	643	44
6	885	44
7	1135	44
8	1756	44
9	2164	44
10	2182	44
11	2182	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 x (*.f64 4 z)))
(fma.f64 y y (.f64 z (.f64 x -4)))
(fma.f64 x (.f64 z -4) (.f64 y y))
(fma.f64 y y (.f64 -4 (.f64 x z)))
(-.f64 (.f64 z z) (.f64 (*.f64 y 4) x))
(-.f64 (.f64 z z) (.f64 y (*.f64 x 4)))
(fma.f64 z z (.f64 y (.f64 x -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)

simplify35.0ms (1.4%)

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	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	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)))
(fma.f64 -4 (.f64 y z) (.f64 x x))

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize24.0ms (1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series9.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

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

rewrite119.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	203	11
2	2662	11

Stop Event

1×	node limit

Counts

1 → 161

Calls

Call 1

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

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

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

simplify230.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
695×	`pow-sqr_binary64`
617×	`cube-prod_binary64`
613×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	402
1	20	348
2	39	348
3	56	348
4	85	348
5	178	348
6	596	348
7	1464	348
8	1648	348
9	1832	348
10	2040	348
11	2333	348
12	2726	348
13	3211	348
14	3779	348
15	4471	348
16	5306	348
17	5698	348
18	5990	348
19	6268	348
20	6342	348
21	6378	348
22	7319	348

Stop Event

1×	node limit

Counts

197 → 167

Calls

Call 1

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

eval64.0ms (2.5%)

Compiler: Compiled 3635 to 2266 computations (37.7% saved)

prune26.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	4	168

Error

Counts

168 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.3b	(.f64 z (.f64 -4 y))
▶	0b	(fma.f64 (.f64 y -4) z (.f64 x x))
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
▶	38.9b	(*.f64 x x)

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.3%)

Compiler: Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.3b	(.f64 z (.f64 -4 y))
✓	0b	(fma.f64 (.f64 y -4) z (.f64 x x))
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
✓	38.9b	(*.f64 x x)

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes35.0ms (1.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

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 (.f64 y 4) z)`
0b	1	`(.f64 (.f64 y 4) z)`
0b	1	`(*.f64 y 4)`
0b	1	`(*.f64 y 4)`

Compiler

Compiled 86 to 57 computations (33.7% saved)

regimes26.0ms (1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(*.f64 y 4)
4.0ms	y
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
4.0ms	x
3.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))`
0.0b	1	`(*.f64 x x)`
0.0b	1	`(.f64 (.f64 y 4) z)`
0.0b	1	`(*.f64 y 4)`

Compiler

Compiled 64 to 43 computations (32.8% saved)

regimes48.0ms (1.9%)

Accuracy

Total -48.6b remaining (-447.1%)

Threshold costs -48.6b (-447.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	z
14.0ms	y
9.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
10.9b	3	`x`
14.6b	5	`y`
16.6b	5	`z`
11.1b	2	`(*.f64 x x)`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch35.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.8793825223756654e-24	1.6687395875669538e-22
17.0ms	-4.587279711171545e-27	-6.916029079806308e-31

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`*-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	21	55
1	30	55
2	47	55
3	55	55
4	61	55
5	63	55

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 y -4) z (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(if (<=.f64 x -6393734749576611/1393796574908163946345982392040522594123776) (.f64 x x) (if (<=.f64 x 639520733063835/340282366920938463463374607431768211456) (.f64 z (.f64 -4 y)) (.f64 x x)))
(*.f64 x x)

Outputs
(fma.f64 (.f64 y -4) z (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 x x) (.f64 z (*.f64 y 4)))
(if (<=.f64 x -6393734749576611/1393796574908163946345982392040522594123776) (.f64 x x) (if (<=.f64 x 639520733063835/340282366920938463463374607431768211456) (.f64 z (.f64 -4 y)) (.f64 x x)))
(if (<=.f64 x -6393734749576611/1393796574908163946345982392040522594123776) (.f64 x x) (if (<=.f64 x 639520733063835/340282366920938463463374607431768211456) (.f64 (.f64 y -4) z) (.f64 x x)))
(*.f64 x x)

Compiler

Compiled 51 to 32 computations (37.3% saved)

soundness0.0ms (0%)

end30.0ms (1.2%)

Remove: (sort y z)
Compiler: Compiled 64 to 34 computations (46.9% saved)

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	11

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	11

Details

analyze294.0ms (11.7%)

sample1.4s (57%)

preprocess76.0ms (3%)

simplify35.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize24.0ms (1%)

series9.0ms (0.4%)

rewrite119.0ms (4.7%)

simplify230.0ms (9.2%)

eval64.0ms (2.5%)

prune26.0ms (1%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize8.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes35.0ms (1.4%)

regimes26.0ms (1%)

regimes48.0ms (1.9%)

bsearch35.0ms (1.4%)

simplify7.0ms (0.3%)

soundness0.0ms (0%)

end30.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	11