Details

analyze1.9s (20.9%)

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
3.9%	95.8%	0.3%	11
7.4%	92.3%	0.3%	12
8.8%	90.9%	0.3%	13
10.2%	89.5%	0.3%	14

Compiler

Compiled 24 to 16 computations (33.3% saved)

sample1.4s (15.7%)

Results

1.4s	8256×	body	128	valid
43.0ms	281×	body	128	invalid

Compiler

Compiled 71 to 47 computations (33.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
4×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	25
2	41	21
3	51	21
4	61	21
5	65	21
6	64	21

prune7.0ms (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

15.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.2b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
▶	18.0b	(/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a)))

Compiler

Compiled 126 to 78 computations (38.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (fma.f64 b (/.f64 y t) a))
✓	1.2b	(fma.f64 b (/.f64 y t) a)
✓	2.2b	(fma.f64 y (/.f64 z t) x)
✓	14.9b	(/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a)))

series287.0ms (3.1%)

Counts

4 → 216

Calls

4 calls:

241.0ms	(/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
17.0ms	(+.f64 1 (fma.f64 b (/.f64 y t) a))
15.0ms	(fma.f64 b (/.f64 y t) a)
15.0ms	(fma.f64 y (/.f64 z t) x)

rewrite74.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

113× egg-rr

Counts

4 → 113

Calls

2 calls:

70.0ms	((/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a))) (fma.f64 y (/.f64 z t) x) (fma.f64 b (/.f64 y t) a) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	295	48
2	3858	48
3	5062	48
0	0	0
1	0	0

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
509×	`associate-/l*_binary64`
394×	`associate-/r*_binary64`
229×	`associate-r_binary64`
220×	`fma-def_binary64`

Counts

329 → 184

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	356	8582
1	1221	8193
2	5118	8193

prune250.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	171	13	184
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	173	13	186

Error

0.1b

Counts

186 → 13

Alt Table

Status	Error	Program
	43.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 x b) (/.f64 z b)) (fma.f64 (/.f64 t y) (/.f64 z (.f64 b b)) (/.f64 (.f64 a (.f64 z t)) (.f64 y (*.f64 b b)))))
	18.4b	(pow.f64 (/.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)) (fma.f64 y (/.f64 z t) x)) -1)
	41.2b	(-.f64 (+.f64 (/.f64 (.f64 y z) (.f64 t (+.f64 1 (/.f64 (.f64 y b) t)))) (+.f64 (/.f64 x (+.f64 1 (/.f64 (.f64 y b) t))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 3)) (/.f64 (.f64 (pow.f64 a 2) (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 3)))))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 4)) (+.f64 (/.f64 (.f64 a (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 2))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 4))) (/.f64 (.f64 a x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 2))))))
	20.4b	(/.f64 (+.f64 (/.f64 (*.f64 y z) t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
	42.9b	(-.f64 (+.f64 (/.f64 z b) (/.f64 (.f64 t x) (.f64 y b))) (+.f64 (/.f64 (.f64 t z) (.f64 y (pow.f64 b 2))) (/.f64 (.f64 a (.f64 t z)) (*.f64 y (pow.f64 b 2)))))
	18.5b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a))) 2)) (/.f64 (fma.f64 y (/.f64 z t) x) (cbrt.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)))))
	42.0b	(/.f64 z b)
	39.9b	(.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a)))))
	34.8b	(/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (cbrt.f64 (pow.f64 (fma.f64 b (/.f64 y t) a) 3))))
	18.1b	(*.f64 (fma.f64 y (/.f64 z t) x) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a))))
▶	16.3b	(fma.f64 (/.f64 y (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))) (/.f64 z t) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	18.8b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 z t) x)) 3) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
	18.2b	(+.f64 (/.f64 (.f64 y z) (.f64 (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))) t)) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))

Compiler

Compiled 9494 to 4352 computations (54.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.5b	(/.f64 (*.f64 y b) t)
✓	4.0b	(/.f64 x (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))))
✓	6.8b	(/.f64 y (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))))
✓	9.0b	(fma.f64 (/.f64 y (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))) (/.f64 z t) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))

series550.0ms (6%)

Counts

4 → 168

Calls

4 calls:

315.0ms	(fma.f64 (/.f64 y (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))) (/.f64 z t) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
136.0ms	(/.f64 x (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))))
82.0ms	(/.f64 y (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))))
13.0ms	(/.f64 (*.f64 y b) t)

rewrite47.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

130× egg-rr

Counts

4 → 130

Calls

2 calls:

44.0ms

((fma.f64 (/.f64 y (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t)))) (/.f64 z t) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))))) (/.f64 y (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t)))) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t)))) (/.f64 (*.f64 y b) t))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
1	352	77
2	4957	77
0	0	0
1	0	0

simplify185.0ms (2%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-/l*_binary64`
519×	`associate-/r*_binary64`
282×	`fma-def_binary64`
258×	`associate-r_binary64`
225×	`associate-l_binary64`

Counts

298 → 243

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	13955
1	1587	13303
2	5111	13303

prune368.0ms (4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	285	12	297

Error

0.0b

Counts

297 → 12

Alt Table

Status	Error	Program
	43.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 x b) (/.f64 z b)) (fma.f64 (/.f64 t y) (/.f64 z (.f64 b b)) (/.f64 (.f64 a (.f64 z t)) (.f64 y (*.f64 b b)))))
	18.4b	(pow.f64 (/.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)) (fma.f64 y (/.f64 z t) x)) -1)
	41.2b	(-.f64 (+.f64 (/.f64 (.f64 y z) (.f64 t (+.f64 1 (/.f64 (.f64 y b) t)))) (+.f64 (/.f64 x (+.f64 1 (/.f64 (.f64 y b) t))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 3)) (/.f64 (.f64 (pow.f64 a 2) (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 3)))))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 4)) (+.f64 (/.f64 (.f64 a (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 2))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 4))) (/.f64 (.f64 a x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 2))))))
	20.4b	(/.f64 (+.f64 (/.f64 (*.f64 y z) t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
	34.8b	(/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (cbrt.f64 (pow.f64 (fma.f64 b (/.f64 y t) a) 3))))
▶	18.1b	(*.f64 (fma.f64 y (/.f64 z t) x) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a))))
✓	16.3b	(fma.f64 (/.f64 y (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))) (/.f64 z t) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	18.8b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 z t) x)) 3) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
	18.5b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a))) 2)) (/.f64 (fma.f64 y (/.f64 z t) x) (cbrt.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)))))
	18.2b	(+.f64 (/.f64 (.f64 y z) (.f64 (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))) t)) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	39.9b	(.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a)))))
	38.5b	(/.f64 (+.f64 (/.f64 (*.f64 t x) y) z) b)

Compiler

Compiled 15446 to 6841 computations (55.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a)))
	1.2b	(fma.f64 b (/.f64 y t) a)
	2.2b	(fma.f64 y (/.f64 z t) x)
✓	14.6b	(*.f64 (fma.f64 y (/.f64 z t) x) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a))))

series317.0ms (3.5%)

Counts

2 → 120

Calls

2 calls:

233.0ms	(*.f64 (fma.f64 y (/.f64 z t) x) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a))))
84.0ms	(/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a)))

rewrite68.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

53× egg-rr

Counts

2 → 53

Calls

2 calls:

67.0ms	((*.f64 (fma.f64 y (/.f64 z t) x) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a)))) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	318	35
2	4016	35
3	5197	35
0	0	0
1	0	0

simplify134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-/l*_binary64`
526×	`associate-/r*_binary64`
260×	`fma-def_binary64`
252×	`associate-r_binary64`
216×	`associate-l_binary64`

Counts

173 → 141

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	432	10416
1	1504	9913
2	5173	9913

prune258.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	195	11	206

Error

0.0b

Counts

206 → 11

Alt Table

Status	Error	Program
	43.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 x b) (/.f64 z b)) (fma.f64 (/.f64 t y) (/.f64 z (.f64 b b)) (/.f64 (.f64 a (.f64 z t)) (.f64 y (*.f64 b b)))))
	33.3b	(*.f64 (fma.f64 y (/.f64 z t) x) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)) -1/2) 2))
	18.4b	(pow.f64 (/.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)) (fma.f64 y (/.f64 z t) x)) -1)
✓	16.3b	(fma.f64 (/.f64 y (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))) (/.f64 z t) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	18.5b	(*.f64 (fma.f64 y (/.f64 z t) x) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)))) 3))
	41.2b	(-.f64 (+.f64 (/.f64 (.f64 y z) (.f64 t (+.f64 1 (/.f64 (.f64 y b) t)))) (+.f64 (/.f64 x (+.f64 1 (/.f64 (.f64 y b) t))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 3)) (/.f64 (.f64 (pow.f64 a 2) (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 3)))))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 4)) (+.f64 (/.f64 (.f64 a (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 2))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 y z)) (.f64 t (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 4))) (/.f64 (.f64 a x) (pow.f64 (+.f64 1 (/.f64 (.f64 y b) t)) 2))))))
	20.4b	(/.f64 (+.f64 (/.f64 (*.f64 y z) t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
	34.8b	(/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (cbrt.f64 (pow.f64 (fma.f64 b (/.f64 y t) a) 3))))
▶	18.2b	(+.f64 (/.f64 (.f64 y z) (.f64 (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))) t)) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	39.9b	(.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a)))))
	38.5b	(/.f64 (+.f64 (/.f64 (*.f64 t x) y) z) b)

Compiler

Compiled 10369 to 4994 computations (51.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(/.f64 (*.f64 y b) t)
	4.0b	(/.f64 x (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))))
✓	5.7b	(.f64 (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))) t)
✓	13.6b	(/.f64 (.f64 y z) (.f64 (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))) t))

series161.0ms (1.8%)

Counts

2 → 104

Calls

2 calls:

140.0ms	(/.f64 (.f64 y z) (.f64 (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))) t))
21.0ms	(.f64 (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))) t)

rewrite83.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

79× egg-rr

Counts

2 → 79

Calls

2 calls:

81.0ms	((/.f64 (.f64 y z) (.f64 (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))) t)) (.f64 (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t))) t))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	311	38
2	4620	38
3	5086	38
0	0	0
1	0	0

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

448×	`cancel-sign-sub-inv_binary64`
431×	`times-frac_binary64`
359×	`fma-neg_binary64`
299×	`associate-/l*_binary64`
225×	`associate-/r*_binary64`

Counts

183 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	4414
1	601	4010
2	3137	3623
3	4790	3623
4	5001	3623

prune333.0ms (3.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	263	4	267
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	266	12	278

Error

0.0b

Counts

278 → 12

Alt Table

Status	Error	Program
	43.0b	(-.f64 (fma.f64 (/.f64 t y) (/.f64 x b) (/.f64 z b)) (fma.f64 (/.f64 t y) (/.f64 z (.f64 b b)) (/.f64 (.f64 a (.f64 z t)) (.f64 y (*.f64 b b)))))
	33.3b	(*.f64 (fma.f64 y (/.f64 z t) x) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)) -1/2) 2))
	18.2b	(+.f64 (/.f64 (.f64 y z) (+.f64 t (.f64 (+.f64 a (/.f64 (.f64 y b) t)) t))) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
✓	16.3b	(fma.f64 (/.f64 y (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))) (/.f64 z t) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	18.5b	(*.f64 (fma.f64 y (/.f64 z t) x) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (fma.f64 b (/.f64 y t) a)))) 3))
	39.6b	(+.f64 (.f64 (/.f64 y (sqrt.f64 (.f64 t (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))) (/.f64 z (sqrt.f64 (.f64 t (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))))))) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	20.4b	(/.f64 (+.f64 (/.f64 (*.f64 y z) t) x) (+.f64 1 (fma.f64 b (/.f64 y t) a)))
	34.8b	(/.f64 (fma.f64 y (/.f64 z t) x) (+.f64 1 (cbrt.f64 (pow.f64 (fma.f64 b (/.f64 y t) a) 3))))
	13.6b	(+.f64 (.f64 (/.f64 y (.f64 t (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))))) z) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t)))))
	15.7b	(+.f64 (.f64 (/.f64 y t) (/.f64 z (+.f64 1 (+.f64 a (/.f64 (.f64 y b) t))))) (/.f64 x (+.f64 1 (+.f64 a (/.f64 (*.f64 y b) t)))))
	39.9b	(.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (.f64 (sqrt.f64 (fma.f64 y (/.f64 z t) x)) (/.f64 1 (+.f64 1 (fma.f64 b (/.f64 y t) a)))))
	38.5b	(/.f64 (+.f64 (/.f64 (*.f64 t x) y) z) b)

Compiler

Compiled 11097 to 4519 computations (59.3% saved)

regimes2.2s (23.6%)

Accuracy

Total 6.5b remaining (98.5%)

Threshold costs 0b (0%)

Counts

145 → 4

Compiler

Compiled 32402 to 19986 computations (38.3% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	187
1	57	187
2	56	187

end214.0ms (2.3%)

Compiler: Compiled 623 to 316 computations (49.3% saved)

Details

analyze1.9s (20.9%)

sample1.4s (15.7%)

simplify8.0ms (0.1%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

series287.0ms (3.1%)

rewrite74.0ms (0.8%)

simplify120.0ms (1.3%)

prune250.0ms (2.7%)

localize14.0ms (0.2%)

series550.0ms (6%)

rewrite47.0ms (0.5%)

simplify185.0ms (2%)

prune368.0ms (4%)

localize11.0ms (0.1%)

series317.0ms (3.5%)

rewrite68.0ms (0.7%)

simplify134.0ms (1.5%)

prune258.0ms (2.8%)

localize12.0ms (0.1%)

series161.0ms (1.8%)

rewrite83.0ms (0.9%)

simplify115.0ms (1.3%)

prune333.0ms (3.6%)

regimes2.2s (23.6%)

bsearch9.0ms (0.1%)

simplify4.0ms (0%)

end214.0ms (2.3%)

Profiling