Details

analyze2.0s (12.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample1.4s (8.5%)

Results

1.2s	8256×	body	128	valid
62.0ms	418×	body	128	invalid

Compiler

Compiled 71 to 44 computations (38% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

920×	`times-frac_binary64`
593×	`fma-def_binary64`
507×	`div-sub_binary64`
484×	`sub-neg_binary64`
470×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	25	21
2	50	21
3	93	21
4	157	21
5	270	21
6	423	21
7	724	21
8	1341	21
9	3898	21
10	4400	21
11	4952	21

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

24.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	24.6b	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (fma.f64 z (-.f64 b y) y))

Compiler

Compiled 80 to 41 computations (48.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (-.f64 t a))
✓	0.0b	(fma.f64 z (-.f64 b y) y)
✓	0.5b	(fma.f64 x y (*.f64 z (-.f64 t a)))
✓	23.7b	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (fma.f64 z (-.f64 b y) y))

series193.0ms (1.2%)

Counts

4 → 204

Calls

4 calls:

167.0ms	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (fma.f64 z (-.f64 b y) y))
13.0ms	(fma.f64 x y (*.f64 z (-.f64 t a)))
6.0ms	(fma.f64 z (-.f64 b y) y)
6.0ms	(*.f64 z (-.f64 t a))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

4 → 99

Calls

4 calls:

7.0ms	(*.f64 z (-.f64 t a))
2.0ms	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (fma.f64 z (-.f64 b y) y))
0.0ms	(fma.f64 x y (*.f64 z (-.f64 t a)))
0.0ms	(fma.f64 z (-.f64 b y) y)

simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

911×	`associate-/l*_binary64`
492×	`fma-def_binary64`
260×	`+-commutative_binary64`
206×	`associate-+r+_binary64`
153×	`*-commutative_binary64`

Counts

303 → 243

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	773	10057
1	2327	9294
2	5266	9294

prune280.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	233	10	243
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	234	10	244

Error

0.1b

Counts

244 → 10

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (cbrt.f64 (pow.f64 (fma.f64 z (-.f64 b y) y) 3)))
	44.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (fma.f64 (/.f64 a (.f64 y y)) (/.f64 (.f64 b (.f64 z z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 z (/.f64 (.f64 y y) z)) (/.f64 (.f64 x (.f64 b b)) (pow.f64 (-.f64 1 z) 3)) (/.f64 x (-.f64 1 z))))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 a y) (/.f64 z (-.f64 1 z)) (/.f64 (.f64 t (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (-.f64 1 z) 2))))))
▶	24.6b	(/.f64 1 (/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a)))))
	44.3b	(-.f64 (fma.f64 (/.f64 a y) (/.f64 z (+.f64 z -1)) (/.f64 (.f64 a (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (+.f64 z -1) 2)))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (+.f64 z -1) 2)) (fma.f64 (/.f64 t y) (/.f64 z (+.f64 z -1)) (fma.f64 (/.f64 (.f64 b b) (.f64 y y)) (/.f64 (.f64 x (.f64 z z)) (pow.f64 (+.f64 z -1) 3)) (fma.f64 (/.f64 t (.f64 y y)) (/.f64 (.f64 b (*.f64 z z)) (pow.f64 (+.f64 z -1) 2)) (/.f64 x (+.f64 z -1)))))))
	33.4b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (/.f64 x (-.f64 1 z))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (/.f64 (.f64 z a) (*.f64 y (-.f64 1 z)))))
	41.6b	(/.f64 x (-.f64 1 z))
	26.4b	(-.f64 (fma.f64 (/.f64 y z) (/.f64 a (pow.f64 (-.f64 y b) 2)) (/.f64 a (-.f64 y b))) (fma.f64 (/.f64 y z) (/.f64 x (-.f64 y b)) (fma.f64 (/.f64 y z) (/.f64 t (pow.f64 (-.f64 y b) 2)) (/.f64 t (-.f64 y b)))))
	26.3b	(-.f64 (fma.f64 (/.f64 y (-.f64 b y)) (/.f64 x z) (fma.f64 (/.f64 a (pow.f64 (-.f64 b y) 2)) (/.f64 y z) (/.f64 t (-.f64 b y)))) (fma.f64 (/.f64 y (pow.f64 (-.f64 b y) 2)) (/.f64 t z) (/.f64 a (-.f64 b y))))
	30.2b	(/.f64 (-.f64 t a) (-.f64 b y))
	24.6b	(.f64 (fma.f64 x y (.f64 z (-.f64 t a))) (/.f64 1 (fma.f64 z (-.f64 b y) y)))

Compiler

Compiled 12089 to 4567 computations (62.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 z (-.f64 b y) y)
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a)))))
	0.5b	(fma.f64 x y (*.f64 z (-.f64 t a)))
✓	23.6b	(/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a))))

series536.0ms (3.3%)

Counts

2 → 144

Calls

2 calls:

370.0ms	(/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a))))
165.0ms	(/.f64 1 (/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a)))))

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

4.0ms	(/.f64 1 (/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a)))))
2.0ms	(/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a))))

simplify233.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

656×	`+-commutative_binary64`
547×	`associate-+r+_binary64`
293×	`associate-/l*_binary64`
280×	`*-commutative_binary64`
202×	`associate-/r*_binary64`

Counts

251 → 304

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1525	24218
1	5092	24218

prune507.0ms (3.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	362	11	373

Error

0.1b

Counts

373 → 11

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (cbrt.f64 (pow.f64 (fma.f64 z (-.f64 b y) y) 3)))
	44.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (fma.f64 (/.f64 a (.f64 y y)) (/.f64 (.f64 b (.f64 z z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 z (/.f64 (.f64 y y) z)) (/.f64 (.f64 x (.f64 b b)) (pow.f64 (-.f64 1 z) 3)) (/.f64 x (-.f64 1 z))))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 a y) (/.f64 z (-.f64 1 z)) (/.f64 (.f64 t (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (-.f64 1 z) 2))))))
✓	24.6b	(/.f64 1 (/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a)))))
	44.3b	(-.f64 (fma.f64 (/.f64 a y) (/.f64 z (+.f64 z -1)) (/.f64 (.f64 a (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (+.f64 z -1) 2)))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (+.f64 z -1) 2)) (fma.f64 (/.f64 t y) (/.f64 z (+.f64 z -1)) (fma.f64 (/.f64 (.f64 b b) (.f64 y y)) (/.f64 (.f64 x (.f64 z z)) (pow.f64 (+.f64 z -1) 3)) (fma.f64 (/.f64 t (.f64 y y)) (/.f64 (.f64 b (*.f64 z z)) (pow.f64 (+.f64 z -1) 2)) (/.f64 x (+.f64 z -1)))))))
	33.4b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (/.f64 x (-.f64 1 z))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (/.f64 (.f64 z a) (*.f64 y (-.f64 1 z)))))
	41.6b	(/.f64 x (-.f64 1 z))
	26.4b	(-.f64 (fma.f64 (/.f64 y z) (/.f64 a (pow.f64 (-.f64 y b) 2)) (/.f64 a (-.f64 y b))) (fma.f64 (/.f64 y z) (/.f64 x (-.f64 y b)) (fma.f64 (/.f64 y z) (/.f64 t (pow.f64 (-.f64 y b) 2)) (/.f64 t (-.f64 y b)))))
	26.3b	(-.f64 (fma.f64 (/.f64 y (-.f64 b y)) (/.f64 x z) (fma.f64 (/.f64 a (pow.f64 (-.f64 b y) 2)) (/.f64 y z) (/.f64 t (-.f64 b y)))) (fma.f64 (/.f64 y (pow.f64 (-.f64 b y) 2)) (/.f64 t z) (/.f64 a (-.f64 b y))))
	41.7b	(/.f64 1 (/.f64 (-.f64 1 z) x))
	30.2b	(/.f64 (-.f64 t a) (-.f64 b y))
▶	24.6b	(.f64 (fma.f64 x y (.f64 z (-.f64 t a))) (/.f64 1 (fma.f64 z (-.f64 b y) y)))

Compiler

Compiled 28541 to 12034 computations (57.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 z (-.f64 b y) y)
	0.5b	(fma.f64 x y (*.f64 z (-.f64 t a)))
✓	0.9b	(/.f64 1 (fma.f64 z (-.f64 b y) y))
✓	23.4b	(.f64 (fma.f64 x y (.f64 z (-.f64 t a))) (/.f64 1 (fma.f64 z (-.f64 b y) y)))

series218.0ms (1.3%)

Counts

2 → 108

Calls

2 calls:

183.0ms	(.f64 (fma.f64 x y (.f64 z (-.f64 t a))) (/.f64 1 (fma.f64 z (-.f64 b y) y)))
35.0ms	(/.f64 1 (fma.f64 z (-.f64 b y) y))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`

Counts

2 → 71

Calls

2 calls:

5.0ms	(.f64 (fma.f64 x y (.f64 z (-.f64 t a))) (/.f64 1 (fma.f64 z (-.f64 b y) y)))
2.0ms	(/.f64 1 (fma.f64 z (-.f64 b y) y))

simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

788×	`associate-/l*_binary64`
519×	`fma-def_binary64`
318×	`+-commutative_binary64`
239×	`associate-+r+_binary64`
177×	`sub-neg_binary64`

Counts

179 → 236

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	812	10485
1	2614	9766
2	5311	9766

prune297.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	295	0	295
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	295	11	306

Error

0.1b

Counts

306 → 11

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (cbrt.f64 (pow.f64 (fma.f64 z (-.f64 b y) y) 3)))
	44.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (fma.f64 (/.f64 a (.f64 y y)) (/.f64 (.f64 b (.f64 z z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 z (/.f64 (.f64 y y) z)) (/.f64 (.f64 x (.f64 b b)) (pow.f64 (-.f64 1 z) 3)) (/.f64 x (-.f64 1 z))))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 a y) (/.f64 z (-.f64 1 z)) (/.f64 (.f64 t (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (-.f64 1 z) 2))))))
✓	24.6b	(/.f64 1 (/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a)))))
	44.3b	(-.f64 (fma.f64 (/.f64 a y) (/.f64 z (+.f64 z -1)) (/.f64 (.f64 a (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (+.f64 z -1) 2)))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (+.f64 z -1) 2)) (fma.f64 (/.f64 t y) (/.f64 z (+.f64 z -1)) (fma.f64 (/.f64 (.f64 b b) (.f64 y y)) (/.f64 (.f64 x (.f64 z z)) (pow.f64 (+.f64 z -1) 3)) (fma.f64 (/.f64 t (.f64 y y)) (/.f64 (.f64 b (*.f64 z z)) (pow.f64 (+.f64 z -1) 2)) (/.f64 x (+.f64 z -1)))))))
	33.4b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (/.f64 x (-.f64 1 z))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (/.f64 (.f64 z a) (*.f64 y (-.f64 1 z)))))
	41.6b	(/.f64 x (-.f64 1 z))
	26.4b	(-.f64 (fma.f64 (/.f64 y z) (/.f64 a (pow.f64 (-.f64 y b) 2)) (/.f64 a (-.f64 y b))) (fma.f64 (/.f64 y z) (/.f64 x (-.f64 y b)) (fma.f64 (/.f64 y z) (/.f64 t (pow.f64 (-.f64 y b) 2)) (/.f64 t (-.f64 y b)))))
▶	26.3b	(-.f64 (fma.f64 (/.f64 y (-.f64 b y)) (/.f64 x z) (fma.f64 (/.f64 a (pow.f64 (-.f64 b y) 2)) (/.f64 y z) (/.f64 t (-.f64 b y)))) (fma.f64 (/.f64 y (pow.f64 (-.f64 b y) 2)) (/.f64 t z) (/.f64 a (-.f64 b y))))
	41.7b	(/.f64 1 (/.f64 (-.f64 1 z) x))
	30.2b	(/.f64 (-.f64 t a) (-.f64 b y))
✓	24.6b	(.f64 (fma.f64 x y (.f64 z (-.f64 t a))) (/.f64 1 (fma.f64 z (-.f64 b y) y)))

Compiler

Compiled 14710 to 6143 computations (58.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.8b	(fma.f64 (/.f64 y (pow.f64 (-.f64 b y) 2)) (/.f64 t z) (/.f64 a (-.f64 b y)))
✓	7.6b	(/.f64 a (pow.f64 (-.f64 b y) 2))
✓	11.1b	(fma.f64 (/.f64 a (pow.f64 (-.f64 b y) 2)) (/.f64 y z) (/.f64 t (-.f64 b y)))
✓	18.7b	(/.f64 y (pow.f64 (-.f64 b y) 2))

series578.0ms (3.5%)

Counts

4 → 176

Calls

4 calls:

385.0ms	(fma.f64 (/.f64 y (pow.f64 (-.f64 b y) 2)) (/.f64 t z) (/.f64 a (-.f64 b y)))
113.0ms	(fma.f64 (/.f64 a (pow.f64 (-.f64 b y) 2)) (/.f64 y z) (/.f64 t (-.f64 b y)))
68.0ms	(/.f64 a (pow.f64 (-.f64 b y) 2))
12.0ms	(/.f64 y (pow.f64 (-.f64 b y) 2))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64`
58×	`*-un-lft-identity_binary64`
58×	`add-sqr-sqrt_binary64`
42×	`add-cube-cbrt_binary64`
40×	`unpow-prod-down_binary64`

Counts

4 → 138

Calls

4 calls:

9.0ms	(/.f64 a (pow.f64 (-.f64 b y) 2))
5.0ms	(/.f64 y (pow.f64 (-.f64 b y) 2))
0.0ms	(fma.f64 (/.f64 y (pow.f64 (-.f64 b y) 2)) (/.f64 t z) (/.f64 a (-.f64 b y)))
0.0ms	(fma.f64 (/.f64 a (pow.f64 (-.f64 b y) 2)) (/.f64 y z) (/.f64 t (-.f64 b y)))

simplify324.0ms (2%)

Algorithm

1×	egg-herbie

Rules

259×	`associate-/l*_binary64`
242×	`times-frac_binary64`
228×	`associate-+r+_binary64`
228×	`associate-/r*_binary64`
228×	`cancel-sign-sub-inv_binary64`

Counts

314 → 260

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	8647
1	1055	8005
2	3620	7627
3	4768	7627
4	4999	7627
5	5000	7627
6	4966	7627

prune337.0ms (2.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	261	10	271

Error

0.1b

Counts

271 → 10

Alt Table

Status	Error	Program
	44.8b	(/.f64 (fma.f64 x y (*.f64 z (-.f64 t a))) (cbrt.f64 (pow.f64 (fma.f64 z (-.f64 b y) y) 3)))
	44.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (fma.f64 (/.f64 a (.f64 y y)) (/.f64 (.f64 b (.f64 z z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 z (/.f64 (.f64 y y) z)) (/.f64 (.f64 x (.f64 b b)) (pow.f64 (-.f64 1 z) 3)) (/.f64 x (-.f64 1 z))))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (/.f64 a y) (/.f64 z (-.f64 1 z)) (/.f64 (.f64 t (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (-.f64 1 z) 2))))))
	41.7b	(/.f64 1 (/.f64 (-.f64 1 z) x))
	25.4b	(-.f64 (fma.f64 (/.f64 y (-.f64 b y)) (/.f64 x z) (/.f64 t (-.f64 b y))) (fma.f64 (/.f64 y (pow.f64 (-.f64 b y) 2)) (/.f64 t z) (/.f64 a (-.f64 b y))))
✓	24.6b	(/.f64 1 (/.f64 (fma.f64 z (-.f64 b y) y) (fma.f64 x y (*.f64 z (-.f64 t a)))))
	44.3b	(-.f64 (fma.f64 (/.f64 a y) (/.f64 z (+.f64 z -1)) (/.f64 (.f64 a (.f64 b (.f64 z z))) (.f64 (.f64 y y) (pow.f64 (+.f64 z -1) 2)))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (+.f64 z -1) 2)) (fma.f64 (/.f64 t y) (/.f64 z (+.f64 z -1)) (fma.f64 (/.f64 (.f64 b b) (.f64 y y)) (/.f64 (.f64 x (.f64 z z)) (pow.f64 (+.f64 z -1) 3)) (fma.f64 (/.f64 t (.f64 y y)) (/.f64 (.f64 b (*.f64 z z)) (pow.f64 (+.f64 z -1) 2)) (/.f64 x (+.f64 z -1)))))))
	33.4b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 z (-.f64 1 z)) (/.f64 x (-.f64 1 z))) (fma.f64 (/.f64 z y) (/.f64 (.f64 b x) (pow.f64 (-.f64 1 z) 2)) (/.f64 (.f64 z a) (*.f64 y (-.f64 1 z)))))
	41.6b	(/.f64 x (-.f64 1 z))
	26.4b	(-.f64 (fma.f64 (/.f64 y z) (/.f64 a (pow.f64 (-.f64 y b) 2)) (/.f64 a (-.f64 y b))) (fma.f64 (/.f64 y z) (/.f64 x (-.f64 y b)) (fma.f64 (/.f64 y z) (/.f64 t (pow.f64 (-.f64 y b) 2)) (/.f64 t (-.f64 y b)))))
✓	24.6b	(.f64 (fma.f64 x y (.f64 z (-.f64 t a))) (/.f64 1 (fma.f64 z (-.f64 b y) y)))

Compiler

Compiled 14299 to 4563 computations (68.1% saved)

regimes8.6s (52.4%)

Accuracy

Total 5.8b remaining (97.1%)

Threshold costs 0b (0%)

Counts

265 → 5

Compiler

Compiled 69811 to 38087 computations (45.4% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 23 to 14 computations (39.1% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
11×	`*-commutative_binary64`
10×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	337
1	81	335
2	98	335
3	107	335
4	111	335
5	109	335

end373.0ms (2.3%)

Compiler: Compiled 882 to 365 computations (58.6% saved)

Details

analyze2.0s (12.3%)

sample1.4s (8.5%)

simplify71.0ms (0.4%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series193.0ms (1.2%)

rewrite16.0ms (0.1%)

simplify154.0ms (0.9%)

prune280.0ms (1.7%)

localize14.0ms (0.1%)

series536.0ms (3.3%)

rewrite21.0ms (0.1%)

simplify233.0ms (1.4%)

prune507.0ms (3.1%)

localize11.0ms (0.1%)

series218.0ms (1.3%)

rewrite12.0ms (0.1%)

simplify146.0ms (0.9%)

prune297.0ms (1.8%)

localize21.0ms (0.1%)

series578.0ms (3.5%)

rewrite23.0ms (0.1%)

simplify324.0ms (2%)

prune337.0ms (2.1%)

regimes8.6s (52.4%)

bsearch12.0ms (0.1%)

simplify11.0ms (0.1%)

end373.0ms (2.3%)

Profiling