Details

analyze202.0ms (6.1%)

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
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
49.9%	49.9%	0.2%	8
74.9%	25%	0.2%	9
74.9%	25%	0.2%	10
74.9%	25%	0.2%	11
74.9%	25%	0.2%	12
87.3%	12.5%	0.2%	13
87.3%	12.5%	0.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.3s (39.2%)

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify79.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary64`
661×	`fma-neg_binary64`
203×	`cancel-sign-sub-inv_binary64`
145×	`distribute-rgt-in_binary64`
99×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	11
3	61	11
4	129	11
5	232	11
6	397	11
7	667	11
8	1062	11
9	1355	11
10	1480	11
11	1529	11
12	1535	11
13	1540	11
14	1540	11
15	1455	11

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
	5.0b	(fma.f64 y (/.f64 (-.f64 z x) t) x)
▶	4.6b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 71 to 40 computations (43.7% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 z x))
✓	5.8b	(/.f64 (*.f64 y (-.f64 z x)) t)

series36.0ms (1.1%)

Counts

2 → 56

Calls

2 calls:

29.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 75

Calls

2 calls:

11.0ms	(*.f64 y (-.f64 z x))
8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify95.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-/l*_binary64`
500×	`times-frac_binary64`
338×	`fma-def_binary64`
273×	`distribute-rgt-in_binary64`
259×	`distribute-lft-in_binary64`

Counts

131 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1462
1	333	1331
2	1232	1277
3	4764	1277
4	5111	1277

prune179.0ms (5.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	101	6	107

Error

0.0b

Counts

107 → 6

Alt Table

Status	Error	Program
	4.9b	(+.f64 x (/.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (-.f64 z x))) t))
	4.8b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
	24.9b	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (.f64 x x))) (.f64 t (+.f64 z x))))
	4.6b	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
	5.0b	(+.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))
▶	4.6b	(+.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))

Compiler

Compiled 2010 to 644 computations (68% saved)

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 z x) y)
✓	5.8b	(/.f64 (*.f64 (-.f64 z x) y) t)

series50.0ms (1.5%)

Counts

2 → 84

Calls

2 calls:

37.0ms	(/.f64 (*.f64 (-.f64 z x) y) t)
13.0ms	(*.f64 (-.f64 z x) y)

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 49

Calls

2 calls:

19.0ms	(/.f64 (*.f64 (-.f64 z x) y) t)
9.0ms	(*.f64 (-.f64 z x) y)

simplify107.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
482×	`associate-/l*_binary64`
465×	`times-frac_binary64`
352×	`associate-l_binary64`
347×	`div-sub_binary64`

Counts

133 → 87

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	1341
1	265	1246
2	922	1246
3	3809	1246
4	5299	1246

prune54.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	88	5	93

Error

Counts

93 → 5

Alt Table

Status	Error	Program
	4.9b	(+.f64 x (/.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (-.f64 z x))) t))
▶	1.6b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
	4.8b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
	5.0b	(+.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))
✓	4.6b	(+.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))

Compiler

Compiled 1377 to 444 computations (67.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(*.f64 (/.f64 y t) (-.f64 z x))

series21.0ms (0.6%)

Counts

1 → 48

Calls

1 calls:

21.0ms

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`associate-l_binary64`

Counts

1 → 66

Calls

1 calls:

8.0ms

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

simplify101.0ms (3%)

Algorithm

1×	egg-herbie

Rules

416×	`div-sub_binary64`
413×	`fma-def_binary64`
317×	`associate-*l/_binary64`
317×	`fma-neg_binary64`
297×	`*-commutative_binary64`

Counts

114 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1596
1	368	1494
2	1167	1440
3	3594	1332
4	4456	1332
5	5017	1332

prune74.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Error

Counts

102 → 5

Alt Table

Status	Error	Program
	4.9b	(+.f64 x (/.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (-.f64 z x))) t))
✓	1.6b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
▶	4.8b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
	5.0b	(+.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))
✓	4.6b	(+.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))

Compiler

Compiled 2010 to 558 computations (72.2% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 t (-.f64 z x))
✓	5.1b	(/.f64 y (/.f64 t (-.f64 z x)))

series49.0ms (1.5%)

Counts

2 → 72

Calls

2 calls:

28.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
21.0ms	(/.f64 t (-.f64 z x))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64`
102×	`add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`

Counts

2 → 143

Calls

2 calls:

7.0ms	(/.f64 y (/.f64 t (-.f64 z x)))
4.0ms	(/.f64 t (-.f64 z x))

simplify177.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/l*_binary64`
552×	`associate-/r/_binary64`
501×	`times-frac_binary64`
333×	`fma-def_binary64`
287×	`distribute-rgt-in_binary64`

Counts

215 → 213

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4051
1	599	3937
2	2116	3812
3	5005	3812

prune147.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	213	5	218

Error

Counts

218 → 5

Alt Table

Status	Error	Program
	4.9b	(+.f64 x (/.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (-.f64 z x))) t))
✓	1.6b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
✓	4.8b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
	5.0b	(+.f64 x (*.f64 (/.f64 (-.f64 z x) t) y))
✓	4.6b	(+.f64 x (/.f64 (*.f64 (-.f64 z x) y) t))

Compiler

Compiled 4135 to 1063 computations (74.3% saved)

regimes365.0ms (11%)

Accuracy

Total 1.9b remaining (99.4%)

Threshold costs 0b (0%)

Counts

43 → 1

Compiler

Compiled 3616 to 2118 computations (41.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-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	12	25
1	16	25
2	21	25
3	23	25
4	24	25
5	24	25

end136.0ms (4.1%)

Compiler: Compiled 112 to 65 computations (42% saved)

Details

analyze202.0ms (6.1%)

sample1.3s (39.2%)

simplify79.0ms (2.4%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

series36.0ms (1.1%)

rewrite27.0ms (0.8%)

simplify95.0ms (2.9%)

prune179.0ms (5.4%)

localize16.0ms (0.5%)

series50.0ms (1.5%)

rewrite33.0ms (1%)

simplify107.0ms (3.2%)

prune54.0ms (1.6%)

localize6.0ms (0.2%)

series21.0ms (0.6%)

rewrite14.0ms (0.4%)

simplify101.0ms (3%)

prune74.0ms (2.2%)

localize9.0ms (0.3%)

series49.0ms (1.5%)

rewrite25.0ms (0.7%)

simplify177.0ms (5.3%)

prune147.0ms (4.4%)

regimes365.0ms (11%)

simplify7.0ms (0.2%)

end136.0ms (4.1%)

Profiling