Details

analyze1.1s (28.8%)

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
10.9%	88.9%	0.2%	10
13.3%	85.8%	1%	11
17.9%	79.3%	2.7%	12
25.5%	70.3%	4.1%	13
31.7%	63.9%	4.5%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.3s (34.3%)

Results

977.0ms	8256×	body	128	valid
259.0ms	2274×	body	128	invalid

Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess40.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

505×	`unsub-neg_binary64`
463×	`div-sub_binary64`
427×	`fma-def_binary64`
325×	`sub-neg_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	77
1	76	77
2	205	77
3	490	77
4	1034	77
5	2211	77
6	4011	77
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 (/.f64 x y) (-.f64 z t)) t)
(+.f64 (*.f64 (/.f64 y x) (-.f64 z t)) t)
(+.f64 (*.f64 (/.f64 z y) (-.f64 x t)) t)
(+.f64 (*.f64 (/.f64 t y) (-.f64 z x)) x)
(+.f64 (*.f64 (/.f64 x z) (-.f64 y t)) t)
(+.f64 (*.f64 (/.f64 x t) (-.f64 z y)) y)
(+.f64 (*.f64 (/.f64 x y) (-.f64 t z)) z)

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

936×	`fma-def_binary64`
721×	`fma-neg_binary64`
220×	`cancel-sign-sub-inv_binary64`
144×	`distribute-rgt-in_binary64`
107×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	16	11
2	38	11
3	84	11
4	178	11
5	316	11
6	542	11
7	1015	11
8	1989	11
9	2988	11
10	3630	11
11	3668	11
12	3698	11
13	3703	11
14	3703	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

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

prune4.0ms (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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.8b	(fma.f64 x (/.f64 (-.f64 z t) y) t)
▶	2.7b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Compiler

Compiled 71 to 40 computations (43.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓	6.1b	(*.f64 (/.f64 x y) (-.f64 z t))

series17.0ms (0.5%)

Counts

2 → 96

Calls

24 calls:

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

rewrite66.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

360×	`fma-def_binary64`
201×	`fma-neg_binary64`
200×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`
164×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	206	21
2	3140	21

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) (-.f64 z t))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

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

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

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
722×	`fma-neg_binary64`
222×	`cancel-sign-sub-inv_binary64`
151×	`distribute-rgt-in_binary64`
127×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	1020
1	95	1020
2	225	948
3	531	948
4	1100	948
5	2085	948
6	3275	948
7	3792	948
8	3819	948
9	3849	948
10	3854	948
11	3854	948

Stop Event

1×

saturated

Counts

199 → 120

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 t y) (/.f64 z y)) x))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 t (/.f64 (*.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 x y) 1) t))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))

Outputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(/.f64 (*.f64 t (neg.f64 x)) y)
(/.f64 x (/.f64 y (neg.f64 t)))
(/.f64 (*.f64 x (neg.f64 t)) y)
(*.f64 t (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(/.f64 (*.f64 t (neg.f64 x)) y)
(/.f64 x (/.f64 y (neg.f64 t)))
(/.f64 (*.f64 x (neg.f64 t)) y)
(*.f64 t (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 x (/.f64 (-.f64 z t) y))
(*.f64 (-.f64 z t) (/.f64 x y))
(.f64 -1 (/.f64 (.f64 t x) y))
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prune67.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	4	122

Error

Counts

122 → 4

Alt Table

Status	Error	Program
	7.9b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
	4.8b	(fma.f64 x (/.f64 (-.f64 z t) y) t)
✓	2.7b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶	2.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)

Compiler

Compiled 1859 to 553 computations (70.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
✓	6.0b	(/.f64 (-.f64 z t) (/.f64 y x))

series7.0ms (0.2%)

Counts

2 → 96

Calls

24 calls:

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

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

400×	`fma-def_binary64`
297×	`fma-neg_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
118×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	214	21
2	3534	21

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(/.f64 (-.f64 z t) (/.f64 y x))
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)

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

simplify89.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
745×	`fma-neg_binary64`
219×	`cancel-sign-sub-inv_binary64`
151×	`distribute-rgt-in_binary64`
127×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	1020
1	95	1020
2	225	948
3	530	948
4	1099	948
5	2083	948
6	3294	948
7	3809	948
8	3836	948
9	3866	948
10	3871	948
11	3871	948

Stop Event

1×

saturated

Counts

239 → 159

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(-.f64 t (/.f64 (*.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 x y) 1) t))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 t y) (/.f64 z y)) x))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (*.f64 t (neg.f64 x)) y)
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(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(.f64 -1 (.f64 (-.f64 (/.f64 t y) (/.f64 z y)) x))
(/.f64 (-.f64 z t) (/.f64 y x))
(*.f64 (/.f64 (-.f64 z t) y) x)
(*.f64 (/.f64 x y) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (-.f64 z t) (/.f64 y x)))
(+.f64 t (*.f64 (/.f64 (-.f64 z t) y) x))
(fma.f64 (/.f64 (-.f64 z t) y) x t)
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 (-.f64 z t) (/.f64 x y) t)

prune85.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
	7.9b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
▶	4.8b	(fma.f64 x (/.f64 (-.f64 z t) y) t)
✓	2.7b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓	2.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)

Compiler

Compiled 2593 to 696 computations (73.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(fma.f64 x (/.f64 (-.f64 z t) y) t)

series7.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
211×	`fma-def_binary64`
174×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`
144×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	178	11
2	2621	11

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(fma.f64 x (/.f64 (-.f64 z t) y) t)

Outputs

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

simplify68.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

685×	`fma-neg_binary64`
624×	`fma-def_binary64`
169×	`cancel-sign-sub-inv_binary64`
155×	`distribute-rgt-in_binary64`
101×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	561
1	70	561
2	166	552
3	387	480
4	841	480
5	1520	480
6	2454	480
7	3086	480
8	3159	480
9	3221	480
10	3352	480
11	3352	480

Stop Event

1×

saturated

Counts

74 → 39

Calls

Call 1

Inputs
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 t y) (/.f64 z y)) x))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 t (/.f64 (*.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 x y) 1) t))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))

Outputs
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 x (-.f64 (/.f64 z y) (/.f64 t y)))
(*.f64 (/.f64 x y) (-.f64 z t))
(/.f64 (*.f64 x (-.f64 z t)) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(/.f64 x (/.f64 y z))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(*.f64 (-.f64 1 (/.f64 x y)) t)
(-.f64 t (/.f64 t (/.f64 y x)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(fma.f64 t (/.f64 (neg.f64 x) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(.f64 -1 (.f64 (-.f64 (/.f64 x y) 1) t))
(-.f64 t (/.f64 t (/.f64 y x)))
(-.f64 t (*.f64 (/.f64 t y) x))
(-.f64 t (*.f64 t (/.f64 x y)))
(fma.f64 t (/.f64 (neg.f64 x) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
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(fma.f64 x (/.f64 (-.f64 z t) y) t)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(*.f64 x (-.f64 (/.f64 z y) (/.f64 t y)))
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))
(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)

prune22.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	39	4	43

Error

Counts

43 → 4

Alt Table

Status	Error	Program
▶	7.9b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
✓	4.8b	(fma.f64 x (/.f64 (-.f64 z t) y) t)
✓	2.7b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓	2.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)

Compiler

Compiled 529 to 157 computations (70.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 z t) x)
✓	0.0b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
✓	8.1b	(/.f64 (*.f64 (-.f64 z t) x) y)

series9.0ms (0.3%)

Counts

3 → 104

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (-.f64 z t) x)
0.0ms	x	@	inf	(*.f64 (-.f64 z t) x)
0.0ms	z	@	-inf	(*.f64 (-.f64 z t) x)
0.0ms	z	@	-inf	(/.f64 (*.f64 (-.f64 z t) x) y)
0.0ms	z	@	0	(/.f64 (*.f64 (-.f64 z t) x) y)

rewrite68.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

347×	`fma-def_binary64`
202×	`fma-neg_binary64`
200×	`expm1-udef_binary64`
200×	`log1p-udef_binary64`
164×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	205	30
2	3166	28

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
(*.f64 (-.f64 z t) x)

Outputs

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simplify93.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

898×	`fma-def_binary64`
748×	`fma-neg_binary64`
231×	`cancel-sign-sub-inv_binary64`
131×	`unsub-neg_binary64`
127×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	1016
1	94	1016
2	223	1016
3	524	944
4	1101	944
5	2096	944
6	3326	944
7	3773	944
8	3800	944
9	3830	944
10	3835	944
11	3835	944

Stop Event

1×

saturated

Counts

237 → 156

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
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(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
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(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
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(.f64 -1 (/.f64 (.f64 t x) y))
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(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
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(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(.f64 -1 (/.f64 (-.f64 (.f64 t x) (*.f64 z x)) y))
(-.f64 t (/.f64 (*.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(/.f64 (*.f64 z x) y)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 x y) 1) t))
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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t
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 (-.f64 (/.f64 t y) (/.f64 z y)) x))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
(.f64 -1 (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 z x)
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 z x)
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 z x)
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(.f64 -1 (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(.f64 -1 (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))
(-.f64 (.f64 z x) (.f64 t x))

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(/.f64 (neg.f64 (*.f64 t x)) y)
(/.f64 (*.f64 x (neg.f64 t)) y)
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(*.f64 (/.f64 x y) (-.f64 z t))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 t x) y))
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 x (/.f64 y (-.f64 z t)))
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(/.f64 (*.f64 z x) y)
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(*.f64 (/.f64 z y) x)
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(*.f64 (/.f64 x y) (-.f64 z t))
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(*.f64 (/.f64 x y) (-.f64 z t))
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(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (/.f64 x (/.f64 y (-.f64 z t))))
(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(.f64 -1 (.f64 (-.f64 (/.f64 t y) (/.f64 z y)) x))
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(/.f64 x (/.f64 y (-.f64 z t)))
(*.f64 (/.f64 x y) (-.f64 z t))
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(fma.f64 (/.f64 x y) (-.f64 z t) t)
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t
(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(-.f64 (+.f64 t (/.f64 (.f64 z x) y)) (/.f64 (.f64 t x) y))
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(+.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(fma.f64 x (/.f64 (-.f64 z t) y) t)
(.f64 -1 (.f64 t x))
(neg.f64 (*.f64 t x))
(*.f64 x (neg.f64 t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(*.f64 z x)
(*.f64 x z)
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(*.f64 z x)
(*.f64 x z)
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(*.f64 z x)
(*.f64 x z)
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(.f64 -1 (.f64 t x))
(neg.f64 (*.f64 t x))
(*.f64 x (neg.f64 t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(.f64 -1 (.f64 t x))
(neg.f64 (*.f64 t x))
(*.f64 x (neg.f64 t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))
(-.f64 (.f64 z x) (.f64 t x))
(*.f64 x (-.f64 z t))

prune77.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	156	4	160

Error

Counts

160 → 4

Alt Table

Status	Error	Program
✓	7.9b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
✓	4.8b	(fma.f64 x (/.f64 (-.f64 z t) y) t)
✓	2.7b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓	2.4b	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)

Compiler

Compiled 2268 to 656 computations (71.1% saved)

regimes233.0ms (6.4%)

Accuracy

Total 2.1b remaining (99.4%)

Threshold costs 0b (0%)

Counts

25 → 3

Compiler

Compiled 231 to 94 computations (59.3% saved)

bsearch39.0ms (1.1%)

Algorithm

2×	binary-search

Calls

2 calls:

22.0ms	t
17.0ms	t

Steps

Iters	Point		Range
6.2e-126	∈ [	7.546969385016622e-128	,	2.639341427291604e-117	]
-1.5e-56	∈ [	-9.70220491227418e-55	,	-9.166997691692594e-57	]

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	47
1	23	47
2	28	47
3	30	47
4	31	47

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 t -6625676492918941/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (if (<=.f64 t 1181325745358835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (fma.f64 x (/.f64 (-.f64 z t) y) t) (fma.f64 (/.f64 x y) (-.f64 z t) t)))

Outputs

(if (<=.f64 t -6625676492918941/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (if (<=.f64 t 1181325745358835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (fma.f64 x (/.f64 (-.f64 z t) y) t) (fma.f64 (/.f64 x y) (-.f64 z t) t)))

(if (<=.f64 t -6625676492918941/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 t (/.f64 (-.f64 z t) (/.f64 y x))) (if (<=.f64 t 1181325745358835/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464) (fma.f64 x (/.f64 (-.f64 z t) y) t) (fma.f64 (/.f64 x y) (-.f64 z t) t)))

end67.0ms (1.8%)

Stop Event

1×

done

Compiler

Compiled 125 to 67 computations (46.4% saved)

Details

analyze1.1s (28.8%)

sample1.3s (34.3%)

preprocess40.0ms (1.1%)

simplify51.0ms (1.4%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

series17.0ms (0.5%)

rewrite66.0ms (1.8%)

simplify96.0ms (2.6%)

prune67.0ms (1.8%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite67.0ms (1.8%)

simplify89.0ms (2.4%)

prune85.0ms (2.3%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite45.0ms (1.2%)

simplify68.0ms (1.9%)

prune22.0ms (0.6%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite68.0ms (1.9%)

simplify93.0ms (2.6%)

prune77.0ms (2.1%)

regimes233.0ms (6.4%)

bsearch39.0ms (1.1%)

simplify3.0ms (0.1%)

end67.0ms (1.8%)

Profiling