Details

analyze494.0ms (4.5%)

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%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample2.3s (20.7%)

Results

1.5s	8256×	body	128	valid
810.0ms	4503×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

preprocess46.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

519×	`associate-+l+_binary64`
480×	`fma-def_binary64`
432×	`associate-+r+_binary64`
360×	`+-commutative_binary64`
232×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	275
1	169	253
2	518	253
3	1589	253
4	4592	253
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Symmetry

(sort x y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

571×	`distribute-rgt-in_binary64`
535×	`fma-def_binary64`
386×	`unsub-neg_binary64`
351×	`sub-neg_binary64`
303×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	23
2	72	23
3	195	23
4	541	23
5	1626	23
6	3204	23
7	3943	23
8	4335	23
9	4371	23
10	4386	23
11	4440	23
12	4481	23
13	4708	23

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

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

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))
	0.3b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))

Compiler

Compiled 118 to 78 computations (33.9% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t))
✓	0.1b	(fma.f64 (log.f64 t) (-.f64 1/2 a) t)
✓	0.1b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))

series693.0ms (6.3%)

Counts

3 → 132

Calls

33 calls:

118.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))	z	0
115.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))	z	-inf
112.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))	z	inf
36.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))	a	0
33.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))	a	-inf

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

313×	`log1p-udef_binary64`
172×	`add-sqr-sqrt_binary64`
166×	`log1p-expm1-u_binary64`
166×	`expm1-log1p-u_binary64`
165×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	333	49
2	4654	49

Stop Event

1×	node limit

Counts

3 → 100

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

908×	`sub-neg_binary64`
640×	`fma-def_binary64`
488×	`cancel-sign-sub-inv_binary64`
376×	`associate--l+_binary64`
372×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	3901
1	771	3507
2	3116	3292

Stop Event

1×	node limit

Counts

232 → 227

prune216.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	217	10	227
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	219	10	229

Error

0.1b

Counts

229 → 10

Alt Table

Status	Error	Program
	30.3b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)))
	40.4b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3))
	1.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)))
	53.1b	(log.f64 (*.f64 z (/.f64 (+.f64 x y) (exp.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))))
	1.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (*.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2))))
	28.6b	(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)) (+.f64 (-.f64 (log.f64 z) (log.f64 (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))
	28.6b	(+.f64 (log.f64 z) (/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (-.f64 (pow.f64 (log.f64 (+.f64 x y)) 2) (pow.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t) 2)))))
	37.3b	(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t))) (sqrt.f64 (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t))) (log.f64 z))
▶	0.2b	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))
	14.0b	(pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t))) 3)

Compiler

Compiled 6363 to 2941 computations (53.8% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t)
✓	0.1b	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))
✓	0.4b	(fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x)))

series901.0ms (8.1%)

Counts

3 → 156

Calls

39 calls:

118.0ms	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))	z	inf
108.0ms	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))	z	-inf
107.0ms	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))	z	0
62.0ms	(fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x)))	t	inf
61.0ms	(fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x)))	t	-inf

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

311×	`log1p-udef_binary64`
171×	`add-sqr-sqrt_binary64`
165×	`log1p-expm1-u_binary64`
165×	`expm1-log1p-u_binary64`
164×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	332	56
2	4649	56

Stop Event

1×	node limit

Counts

3 → 104

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
774×	`cancel-sign-sub-inv_binary64`
478×	`associate--r+_binary64`
472×	`associate--l+_binary64`
310×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	4974
1	911	4438
2	3727	4102

Stop Event

1×	node limit

Counts

260 → 260

prune221.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	257	3	260
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	259	11	270

Error

0.1b

Counts

270 → 11

Alt Table

Status	Error	Program
	30.3b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)))
	40.4b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3))
	1.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)))
	53.1b	(log.f64 (*.f64 z (/.f64 (+.f64 x y) (exp.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))))
	1.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (*.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2))))
	28.6b	(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)) (+.f64 (-.f64 (log.f64 z) (log.f64 (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))
	28.6b	(+.f64 (log.f64 z) (/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (-.f64 (pow.f64 (log.f64 (+.f64 x y)) 2) (pow.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t) 2)))))
	53.1b	(log.f64 (*.f64 z (exp.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t))))
	24.0b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x)))) 2) t) (log.f64 z))
✓	0.2b	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))
▶	0.2b	(+.f64 (fma.f64 (log.f64 t) -1/2 (log.f64 z)) (-.f64 (fma.f64 a (log.f64 t) (log.f64 (+.f64 y x))) t))

Compiler

Compiled 7402 to 3399 computations (54.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 a (log.f64 t) (log.f64 (+.f64 y x))) t)
✓	0.1b	(+.f64 (fma.f64 (log.f64 t) -1/2 (log.f64 z)) (-.f64 (fma.f64 a (log.f64 t) (log.f64 (+.f64 y x))) t))
✓	0.1b	(fma.f64 a (log.f64 t) (log.f64 (+.f64 y x)))
✓	0.4b	(fma.f64 (log.f64 t) -1/2 (log.f64 z))

series1.4s (13%)

Counts

4 → 180

Calls

45 calls:

185.0ms	(+.f64 (fma.f64 (log.f64 t) -1/2 (log.f64 z)) (-.f64 (fma.f64 a (log.f64 t) (log.f64 (+.f64 y x))) t))	z	inf
159.0ms	(+.f64 (fma.f64 (log.f64 t) -1/2 (log.f64 z)) (-.f64 (fma.f64 a (log.f64 t) (log.f64 (+.f64 y x))) t))	z	-inf
156.0ms	(+.f64 (fma.f64 (log.f64 t) -1/2 (log.f64 z)) (-.f64 (fma.f64 a (log.f64 t) (log.f64 (+.f64 y x))) t))	z	0
64.0ms	(fma.f64 a (log.f64 t) (log.f64 (+.f64 y x)))	t	inf
64.0ms	(fma.f64 a (log.f64 t) (log.f64 (+.f64 y x)))	t	-inf

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
166×	`add-sqr-sqrt_binary64`
159×	`log1p-expm1-u_binary64`
159×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	323	62
2	4403	62

Stop Event

1×	node limit

Counts

4 → 124

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

869×	`sub-neg_binary64`
864×	`fma-def_binary64`
435×	`associate--l+_binary64`
352×	`associate--r+_binary64`
278×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	4616
1	896	4217
2	3444	4060

Stop Event

1×	node limit

Counts

304 → 285

prune263.0ms (2.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	285	11	296

Error

0.1b

Counts

296 → 11

Alt Table

Status	Error	Program
	30.3b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)))
	40.4b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3))
▶	1.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)))
	53.1b	(log.f64 (*.f64 z (/.f64 (+.f64 x y) (exp.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))))
	1.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (*.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2))))
	28.6b	(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)) (+.f64 (-.f64 (log.f64 z) (log.f64 (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))
	28.6b	(+.f64 (log.f64 z) (/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (-.f64 (pow.f64 (log.f64 (+.f64 x y)) 2) (pow.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t) 2)))))
	53.1b	(log.f64 (*.f64 z (exp.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t))))
	24.0b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x)))) 2) t) (log.f64 z))
✓	0.2b	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))
✓	0.2b	(+.f64 (fma.f64 (log.f64 t) -1/2 (log.f64 z)) (-.f64 (fma.f64 a (log.f64 t) (log.f64 (+.f64 y x))) t))

Compiler

Compiled 8081 to 3201 computations (60.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (log.f64 t) (-.f64 1/2 a) t)
✓	0.1b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)))
✓	0.5b	(cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t))
✓	0.8b	(pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)

series979.0ms (8.9%)

Counts

3 → 76

Calls

27 calls:

223.0ms	(pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)	a	0
183.0ms	(pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)	t	0
123.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)))	z	0
118.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)))	z	inf
109.0ms	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3)))	z	-inf

rewrite38.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

190×	`add-sqr-sqrt_binary64`
186×	`log1p-expm1-u_binary64`
186×	`expm1-log1p-u_binary64`
183×	`add-cbrt-cube_binary64`
180×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	394	43

Stop Event

1×	node limit

Counts

3 → 83

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def_binary64`
581×	`sub-neg_binary64`
544×	`cancel-sign-sub-inv_binary64`
232×	`associate--l+_binary64`
213×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3053
1	757	2799
2	2931	2737

Stop Event

1×	node limit

Counts

159 → 169

prune168.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	201	3	204
Fresh	1	7	8
Picked	1	0	1
Done	1	1	2
Total	204	11	215

Error

0.0b

Counts

215 → 11

Alt Table

Status	Error	Program
	28.6b	(+.f64 (log.f64 z) (/.f64 1 (/.f64 (+.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (-.f64 (pow.f64 (log.f64 (+.f64 x y)) 2) (pow.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t) 2)))))
	22.7b	(fma.f64 (log.f64 t) -1/2 (+.f64 (log.f64 (+.f64 y x)) (fma.f64 (log.f64 t) a (log.f64 z))))
	30.3b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)))
	40.4b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (*.f64 z (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 3))
	1.2b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (*.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2))))
	28.6b	(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (-.f64 (log.f64 (+.f64 x y)) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2)) (+.f64 (-.f64 (log.f64 z) (log.f64 (+.f64 x y))) (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))
	53.1b	(log.f64 (*.f64 z (exp.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t))))
	24.0b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x)))) 2) t) (log.f64 z))
✓	0.2b	(+.f64 (-.f64 (fma.f64 (log.f64 t) (+.f64 a -1/2) (log.f64 (+.f64 y x))) t) (log.f64 z))
	1.4b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t))))))
	1.8b	(+.f64 (log.f64 z) (-.f64 (log.f64 (+.f64 x y)) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t))) 2) 3) (cbrt.f64 (fma.f64 (log.f64 t) (-.f64 1/2 a) t)))))

Compiler

Compiled 5961 to 2979 computations (50% saved)

regimes2.4s (22%)

Accuracy

Total 0.2b remaining (67.7%)

Threshold costs 0.2b (67.7%)

Counts

155 → 1

Compiler

Compiled 47926 to 33100 computations (30.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	23	25
2	28	25
3	30	25
4	31	25

Stop Event

1×

saturated

end200.0ms (1.8%)

Stop Event

1×

fuel

Remove

(sort x y)

Compiler

Compiled 404 to 279 computations (30.9% saved)

Details

analyze494.0ms (4.5%)

sample2.3s (20.7%)

preprocess46.0ms (0.4%)

simplify70.0ms (0.6%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series693.0ms (6.3%)

rewrite77.0ms (0.7%)

simplify77.0ms (0.7%)

prune216.0ms (2%)

localize12.0ms (0.1%)

series901.0ms (8.1%)

rewrite80.0ms (0.7%)

simplify89.0ms (0.8%)

prune221.0ms (2%)

localize13.0ms (0.1%)

series1.4s (13%)

rewrite75.0ms (0.7%)

simplify88.0ms (0.8%)

prune263.0ms (2.4%)

localize16.0ms (0.1%)

series979.0ms (8.9%)

rewrite38.0ms (0.3%)

simplify67.0ms (0.6%)

prune168.0ms (1.5%)

regimes2.4s (22%)

simplify3.0ms (0%)

end200.0ms (1.8%)

Profiling