Details

analyze785.0ms (19.6%)

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
25%	74.9%	0.2%	5
25%	74.9%	0.2%	6
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
29.6%	70.2%	0.2%	9
32%	67.8%	0.2%	10
34.3%	63.9%	1.8%	11
37.8%	59.3%	2.9%	12
43.4%	51.2%	5.5%	13
46.7%	47.7%	5.6%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.2s (30.7%)

Results

986.0ms	8256×	body	128	valid
225.0ms	2160×	body	128	invalid

Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess95.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1166×	`fma-def_binary64`
614×	`fma-neg_binary64`
297×	`unsub-neg_binary64`
231×	`distribute-rgt-in_binary64`
209×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	95	70
2	233	70
3	495	70
4	863	70
5	1688	70
6	2357	70
7	3388	70
8	3607	70
9	3643	70
10	3647	70
11	4249	70
12	4537	70
13	4537	70
14	4537	70
15	4537	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3
1

Call 2

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

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

Symmetry

(sort y t)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

992×	`fma-def_binary64`
302×	`fma-neg_binary64`
112×	`distribute-rgt-in_binary64`
87×	`associate-l_binary64`
82×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	20	10
2	47	10
3	111	10
4	229	10
5	343	10
6	552	10
7	911	10
8	1666	10
9	2363	10
10	2418	10
11	2424	10
12	2424	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	6.2b	(.f64 y (.f64 t (-.f64 x z)))
	7.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Compiler

Compiled 68 to 41 computations (39.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 x z))
✓	5.9b	(.f64 y (.f64 t (-.f64 x z)))

series15.0ms (0.4%)

Counts

2 → 84

Calls

21 calls:

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

rewrite46.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
90×	`*-un-lft-identity_binary64`
90×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	170	17
2	2322	17

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

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

Outputs

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

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

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def_binary64`
384×	`fma-neg_binary64`
131×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
86×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	708
1	64	708
2	130	708
3	219	708
4	340	708
5	598	708
6	1037	708
7	1545	708
8	2280	708
9	2442	708
10	2454	708
11	2454	708

Stop Event

1×

saturated

Counts

124 → 55

Calls

Call 1

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

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

prune38.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	50	7	57

Error

0.0b

Counts

57 → 7

Alt Table

Status	Error	Program
	7.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
	31.6b	(.f64 y (cbrt.f64 (pow.f64 (.f64 t (-.f64 x z)) 3)))
	7.1b	(.f64 (-.f64 x z) (.f64 t y))
▶	6.2b	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
	31.5b	(pow.f64 (sqrt.f64 (.f64 t (.f64 (-.f64 x z) y))) 2)
	8.4b	(pow.f64 (cbrt.f64 (.f64 t (.f64 (-.f64 x z) y))) 3)
	30.8b	(/.f64 (.f64 (.f64 y t) (-.f64 (.f64 x x) (.f64 z z))) (+.f64 x z))

Compiler

Compiled 762 to 328 computations (57% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 t (-.f64 x z))
✓	5.9b	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))

series4.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
0.0ms	y	@	-inf	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
0.0ms	x	@	inf	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
0.0ms	z	@	-inf	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
0.0ms	x	@	-inf	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))

rewrite42.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`
95×	`pow1_binary64`
93×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	193	10
2	2409	10

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))

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

Outputs

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

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def_binary64`
384×	`fma-neg_binary64`
131×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
86×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	468
1	59	468
2	129	468
3	224	468
4	346	468
5	604	468
6	1041	468
7	1550	468
8	2283	468
9	2445	468
10	2457	468
11	2457	468

Stop Event

1×

saturated

Counts

63 → 24

Calls

Call 1

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

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

prune32.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Error

0.0b

Counts

58 → 7

Alt Table

Status	Error	Program
	7.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
	31.6b	(.f64 y (cbrt.f64 (pow.f64 (.f64 t (-.f64 x z)) 3)))
▶	7.1b	(.f64 (-.f64 x z) (.f64 t y))
✓	6.2b	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
	31.5b	(pow.f64 (sqrt.f64 (.f64 t (.f64 (-.f64 x z) y))) 2)
	8.4b	(pow.f64 (cbrt.f64 (.f64 t (.f64 (-.f64 x z) y))) 3)
	30.8b	(/.f64 (.f64 (.f64 y t) (-.f64 (.f64 x x) (.f64 z z))) (+.f64 x z))

Compiler

Compiled 744 to 359 computations (51.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(.f64 (-.f64 x z) (.f64 t y))

series3.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite41.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
90×	`*-un-lft-identity_binary64`
90×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	170	10
2	2316	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

932×	`fma-def_binary64`
384×	`fma-neg_binary64`
133×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
86×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	468
1	59	468
2	129	468
3	225	468
4	347	468
5	605	468
6	1043	468
7	1552	468
8	2287	468
9	2449	468
10	2461	468
11	2461	468

Stop Event

1×

saturated

Counts

69 → 30

Calls

Call 1

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

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

prune21.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	30	7	37

Error

0.0b

Counts

37 → 7

Alt Table

Status	Error	Program
▶	7.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
	31.6b	(.f64 y (cbrt.f64 (pow.f64 (.f64 t (-.f64 x z)) 3)))
✓	7.1b	(.f64 (-.f64 x z) (.f64 t y))
✓	6.2b	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
	31.5b	(pow.f64 (sqrt.f64 (.f64 t (.f64 (-.f64 x z) y))) 2)
	8.4b	(pow.f64 (cbrt.f64 (.f64 t (.f64 (-.f64 x z) y))) 3)
	30.8b	(/.f64 (.f64 (.f64 y t) (-.f64 (.f64 x x) (.f64 z z))) (+.f64 x z))

Compiler

Compiled 489 to 221 computations (54.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 z y))
✓	7.1b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

series11.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

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

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
498×	`fma-def_binary64`
216×	`fma-neg_binary64`
198×	`egg-rr`
186×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	201	17
2	2794	17

Stop Event

1×	node limit

Counts

2 → 260

Calls

Call 1

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

Outputs

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t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 (-.f64 x z) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) (-.f64 x z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 (-.f64 x z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (-.f64 x z) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 y (-.f64 x z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (-.f64 x z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (-.f64 x z) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (-.f64 x z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (-.f64 x z) t) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (-.f64 x z) t) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) t (*.f64 (*.f64 y (neg.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 x z)) t (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 x z)) t (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 x y) (*.f64 t (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 y (-.f64 x z)) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 y (-.f64 x z)) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 (-.f64 x z) t)) 1 (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 (-.f64 x z) t)) 1 (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 (-.f64 x z) t)) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 (-.f64 x z) t)) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (*.f64 y (-.f64 x z))) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (*.f64 y (-.f64 x z))) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) 2) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) 2) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) 2) (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) 2) (cbrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2)) (*.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) t) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2)) (*.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) t) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (*.f64 y (-.f64 x z))) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (*.f64 y (-.f64 x z))) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (sqrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (sqrt.f64 (*.f64 y (*.f64 (-.f64 x z) t))) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) t) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) t) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (-.f64 x z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (-.f64 x z)) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (-.f64 x z)) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (-.f64 x z)) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t y) (-.f64 x z) (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t y) (-.f64 x z) (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))) (cbrt.f64 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simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
312×	`fma-neg_binary64`
100×	`distribute-rgt-in_binary64`
83×	`associate-r_binary64`
81×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	708
1	80	708
2	199	708
3	443	708
4	829	708
5	1298	708
6	1823	708
7	2221	708
8	2223	708
9	2223	708

Stop Event

1×

saturated

Counts

344 → 275

Calls

Call 1

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

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

prune208.0ms (5.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	272	3	275
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	275	7	282

Error

Counts

282 → 7

Alt Table

Status	Error	Program
	7.4b	(fma.f64 (.f64 y (-.f64 x z)) t (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t))
	7.5b	(.f64 (fma.f64 (neg.f64 y) z (.f64 x y)) t)
	7.9b	(.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (*.f64 y (neg.f64 z))) t)
	31.6b	(.f64 y (cbrt.f64 (pow.f64 (.f64 t (-.f64 x z)) 3)))
✓	7.1b	(.f64 (-.f64 x z) (.f64 t y))
✓	6.2b	(.f64 y (pow.f64 (.f64 t (-.f64 x z)) 1))
	30.8b	(/.f64 (.f64 (.f64 y t) (-.f64 (.f64 x x) (.f64 z z))) (+.f64 x z))

Compiler

Compiled 5243 to 1194 computations (77.2% saved)

regimes945.0ms (23.7%)

Accuracy

Total 1.4b remaining (98.4%)

Threshold costs 0b (0%)

Counts

78 → 3

Compiler

Compiled 886 to 278 computations (68.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(-.f64 (.f64 x y) (.f64 z y))
0.0ms	(-.f64 (.f64 x y) (.f64 z y))

Steps

Iters	Point		Range
2e+232	∈ [	1.6047658987382678e+232	,	8.218689227053863e+232	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-4.875220754952434e+299	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
9×	`+-commutative_binary64`
9×	`sub-neg_binary64`
6×	`distribute-rgt-neg-in_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	79
1	57	79
2	77	79
3	91	79
4	98	79
5	101	79
6	102	79

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z y)) -inf.0) (*.f64 y (pow.f64 (*.f64 t (-.f64 x z)) 1)) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z y)) 20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760) (fma.f64 (*.f64 y (-.f64 x z)) t (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t)) (-.f64 (*.f64 y (*.f64 t x)) (*.f64 y (*.f64 t z)))))

Outputs

(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z y)) -inf.0) (*.f64 y (pow.f64 (*.f64 t (-.f64 x z)) 1)) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 z y)) 20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760) (fma.f64 (*.f64 y (-.f64 x z)) t (*.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) t)) (-.f64 (*.f64 y (*.f64 t x)) (*.f64 y (*.f64 t z)))))

(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 y z)) -inf.0) (*.f64 y (*.f64 t (-.f64 x z))) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 y z)) 20000000000000001129508220410416828296812527639661167494011303283109131279351563943784395231789199659595363386950727241931319612892138477546103202912065595588395678806081246396371284761651825538391991766106035065448036973925902581760) (fma.f64 (*.f64 y (-.f64 x z)) t (*.f64 t (fma.f64 y (neg.f64 z) (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 x t)) (*.f64 y (*.f64 z t)))))

end121.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 341 to 172 computations (49.6% saved)

Details

analyze785.0ms (19.6%)

sample1.2s (30.7%)

preprocess95.0ms (2.4%)

simplify28.0ms (0.7%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series15.0ms (0.4%)

rewrite46.0ms (1.1%)

simplify64.0ms (1.6%)

prune38.0ms (1%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite42.0ms (1%)

simplify49.0ms (1.2%)

prune32.0ms (0.8%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite41.0ms (1%)

simplify50.0ms (1.3%)

prune21.0ms (0.5%)

localize7.0ms (0.2%)

series11.0ms (0.3%)

rewrite70.0ms (1.8%)

simplify64.0ms (1.6%)

prune208.0ms (5.2%)

regimes945.0ms (23.7%)

bsearch1.0ms (0%)

simplify5.0ms (0.1%)

end121.0ms (3%)

Profiling