Details

analyze334.0ms (14.3%)

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
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
46.5%	43.7%	50.3%	0.1%	5.9%	0%	0%	11
55.2%	51.9%	42.1%	0.1%	5.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.5s (62.1%)

Results

1.4s	8256×	body	256	valid
68.0ms	653×	body	256	infinite

Bogosity

preprocess61.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

563×	`fma-def_binary64`
276×	`fma-neg_binary64`
103×	`cancel-sign-sub-inv_binary64`
94×	`associate-r_binary64`
85×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	48	40
2	122	32
3	285	32
4	429	32
5	690	32
6	1281	32
7	1574	32
8	1769	32
9	1802	32
10	1805	32
11	1805	32
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 x (.f64 (.f64 y 4) z))
(-.f64 y (.f64 (.f64 x 4) z))
(-.f64 z (.f64 (.f64 y 4) x))
(-.f64 x (.f64 (.f64 z 4) y))

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

Symmetry

(sort y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify35.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

282×	`fma-def_binary64`
110×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-neg-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune2.0ms (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 y (*.f64 z -4) x)
▶	0.0b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize13.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
863×	`add-log-exp_binary64`
863×	`log1p-expm1-u_binary64`
863×	`expm1-log1p-u_binary64`
846×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2355	10

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify15.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	255
1	14	255
2	23	255
3	29	255

Stop Event

1×

saturated

Counts

74 → 42

Calls

Call 1

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

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

localize7.0ms (0.3%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

eval14.0ms (0.6%)

Compiler: Compiled 653 to 419 computations (35.8% saved)

prune8.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	4	44

Error

Counts

44 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	27.1b	x
✓	0b	(fma.f64 y (*.f64 z -4) x)
▶	36.0b	(.f64 -4 (.f64 y z))
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 31 to 22 computations (29% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite48.0ms (2%)

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 expm1.f64 (log1p.f64 (.f64 -4 (.f64 y z))))))) (#(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))))))))

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 expm1.f64 (log1p.f64 (*.f64 -4 (*.f64 y z))))))) (#(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))))))))

simplify9.0ms (0.4%)

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

eval3.0ms (0.1%)

Compiler: Compiled 88 to 56 computations (36.4% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	11	4	15

Error

Counts

15 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	27.1b	x
✓	0b	(fma.f64 y (*.f64 z -4) x)
✓	36.0b	(.f64 -4 (.f64 y z))
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 31 to 22 computations (29% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	27.1b	x
✓	0b	(fma.f64 y (*.f64 z -4) x)
✓	36.0b	(.f64 -4 (.f64 y z))
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 31 to 22 computations (29% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	27.1b	x
✓	0b	(fma.f64 y (*.f64 z -4) x)
✓	36.0b	(.f64 -4 (.f64 y z))
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 31 to 22 computations (29% saved)

regimes41.0ms (1.7%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	y
6.0ms	(*.f64 y 4)
6.0ms	(.f64 (.f64 y 4) z)
4.0ms	(*.f64 y 4)
4.0ms	z

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(-.f64 x (.f64 (.f64 y 4) z))`
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 72 to 51 computations (29.2% saved)

regimes31.0ms (1.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(-.f64 x (.f64 (.f64 y 4) z))
6.0ms	x
6.0ms	(*.f64 y 4)
4.0ms	y
4.0ms	(.f64 (.f64 y 4) z)

Results

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

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes47.0ms (2%)

Accuracy

Total -48.2b remaining (-354.6%)

Threshold costs -48.2b (-354.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
14.0ms	z
11.0ms	x

Results

Error	Segments	Branch
13.6b	3	`x`
15.5b	5	`y`
19.1b	3	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch38.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.8222031811623844e-91	4.63024435109519e-81
18.0ms	-5.5986713676808076e-39	-1.5177760924759766e-46

Compiler

Compiled 16 to 12 computations (25% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-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	20	40
1	30	40
2	48	40
3	56	40
4	62	40
5	64	40

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (*.f64 z -4) x)
(-.f64 x (.f64 (.f64 y 4) z))
(if (<=.f64 x -8579938905744365/1532495540865888858358347027150309183618739122183602176) x (if (<=.f64 x 8847773057615079/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 -4 (.f64 y z)) x))
x

Outputs
(fma.f64 y (*.f64 z -4) x)
(-.f64 x (.f64 (.f64 y 4) z))
(-.f64 x (.f64 z (.f64 y 4)))
(+.f64 x (.f64 z (.f64 y -4)))
(if (<=.f64 x -8579938905744365/1532495540865888858358347027150309183618739122183602176) x (if (<=.f64 x 8847773057615079/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992) (.f64 -4 (.f64 y z)) x))
x

Compiler

Compiled 41 to 28 computations (31.7% saved)

soundness51.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

282×	`fma-def_binary64`
110×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-neg-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Stop Event

1×

saturated

Compiler

Compiled 104 to 74 computations (28.8% saved)

end38.0ms (1.6%)

Remove: (sort y z)
Compiler: Compiled 50 to 31 computations (38% saved)

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Details

analyze334.0ms (14.3%)

sample1.5s (62.1%)

preprocess61.0ms (2.6%)

simplify35.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize13.0ms (0.6%)

series5.0ms (0.2%)

rewrite65.0ms (2.8%)

simplify15.0ms (0.6%)

localize7.0ms (0.3%)

eval14.0ms (0.6%)

prune8.0ms (0.3%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite48.0ms (2%)

simplify9.0ms (0.4%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

eval0.0ms (0%)

prune4.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes41.0ms (1.7%)

regimes31.0ms (1.3%)

regimes47.0ms (2%)

bsearch38.0ms (1.6%)

simplify6.0ms (0.2%)

soundness51.0ms (2.2%)

end38.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8

Iter	Nodes	Cost
0	8	10
1	17	10
2	47	8
3	104	8
4	157	8
5	218	8
6	312	8
7	386	8
8	513	8
9	726	8
10	822	8
11	834	8