Details

analyze767.0ms (22.6%)

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
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample191.0ms (5.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	67×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-def_binary64`
730×	`fma-neg_binary64`
228×	`cancel-sign-sub-inv_binary64`
138×	`distribute-rgt-in_binary64`
97×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	11
2	31	11
3	72	11
4	146	11
5	255	11
6	409	11
7	668	11
8	1099	11
9	1352	11
10	1478	11
11	1525	11
12	1531	11
13	1536	11
14	1536	11
15	1451	11

prune3.0ms (0.1%)

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

2.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	2.5b	(fma.f64 (-.f64 y x) (/.f64 z t) x)

Compiler

Compiled 45 to 23 computations (48.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(fma.f64 (-.f64 y x) (/.f64 z t) x)

series18.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

18.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

539×	`distribute-rgt-neg-out_binary64`
515×	`distribute-lft-neg-out_binary64`
375×	`distribute-rgt-in_binary64`
373×	`distribute-lft-in_binary64`
270×	`times-frac_binary64`

Counts

58 → 31

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	946
1	88	635
2	194	623
3	469	623
4	2305	623
5	4632	623
6	5238	623

prune17.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Error

0.0b

Counts

32 → 3

Alt Table

Status	Error	Program
▶	4.5b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
✓	2.5b	(fma.f64 (-.f64 y x) (/.f64 z t) x)
	38.3b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)

Compiler

Compiled 426 to 122 computations (71.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
✓	0.0b	(+.f64 (/.f64 (*.f64 y z) t) x)
✓	4.6b	(/.f64 (*.f64 y z) t)
✓	4.8b	(/.f64 (*.f64 z x) t)

series60.0ms (1.8%)

Counts

4 → 24

Calls

4 calls:

21.0ms	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
13.0ms	(+.f64 (/.f64 (*.f64 y z) t) x)
13.0ms	(/.f64 (*.f64 z x) t)
13.0ms	(/.f64 (*.f64 y z) t)

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
28×	`prod-diff_binary64`
28×	`add-cube-cbrt_binary64`
24×	`times-frac_binary64`

Counts

4 → 126

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (/.f64 (.f64 z x) t))
5.0ms	(+.f64 (/.f64 (*.f64 y z) t) x)
4.0ms	(/.f64 (*.f64 z x) t)
3.0ms	(/.f64 (*.f64 y z) t)

simplify93.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-def_binary64`
419×	`associate-/l/_binary64`
316×	`distribute-rgt-in_binary64`
298×	`distribute-lft-in_binary64`
193×	`cancel-sign-sub-inv_binary64`

Counts

150 → 176

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3546
1	541	2217
2	1901	1872
3	4868	1872
4	4866	1872

prune106.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	175	4	179

Error

Counts

179 → 4

Alt Table

Status	Error	Program
	38.3b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)
▶	4.5b	(-.f64 (+.f64 (/.f64 1 (/.f64 t (.f64 y z))) x) (/.f64 (.f64 z x) t))
✓	2.5b	(fma.f64 (-.f64 y x) (/.f64 z t) x)
	4.5b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (.f64 (*.f64 z x) (/.f64 1 t)))

Compiler

Compiled 4222 to 777 computations (81.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (/.f64 t (*.f64 y z))) x)
✓	0.4b	(/.f64 1 (/.f64 t (*.f64 y z)))
✓	4.5b	(/.f64 t (*.f64 y z))
	4.8b	(/.f64 (*.f64 z x) t)

series46.0ms (1.3%)

Counts

3 → 84

Calls

3 calls:

20.0ms	(/.f64 t (*.f64 y z))
14.0ms	(+.f64 (/.f64 1 (/.f64 t (*.f64 y z))) x)
12.0ms	(/.f64 1 (/.f64 t (*.f64 y z)))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`times-frac_binary64`
38×	`*-un-lft-identity_binary64`
35×	`add-sqr-sqrt_binary64`
35×	`add-cube-cbrt_binary64`
29×	`add-exp-log_binary64`

Counts

3 → 122

Calls

3 calls:

11.0ms	(+.f64 (/.f64 1 (/.f64 t (*.f64 y z))) x)
5.0ms	(/.f64 1 (/.f64 t (*.f64 y z)))
3.0ms	(/.f64 t (*.f64 y z))

simplify101.0ms (3%)

Algorithm

1×	egg-herbie

Rules

736×	`times-frac_binary64`
399×	`fma-neg_binary64`
354×	`associate-/l*_binary64`
319×	`associate-/r*_binary64`
259×	`associate-r_binary64`

Counts

206 → 151

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1984
1	250	1778
2	788	1645
3	3261	1645
4	4619	1645
5	4967	1645

prune111.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	187	4	191

Error

Counts

191 → 4

Alt Table

Status	Error	Program
	38.3b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)
✓	4.5b	(-.f64 (+.f64 (/.f64 1 (/.f64 t (.f64 y z))) x) (/.f64 (.f64 z x) t))
✓	2.5b	(fma.f64 (-.f64 y x) (/.f64 z t) x)
▶	4.5b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (.f64 (*.f64 z x) (/.f64 1 t)))

Compiler

Compiled 4004 to 1372 computations (65.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (.f64 (*.f64 z x) (/.f64 1 t)))
	0.0b	(+.f64 (/.f64 (*.f64 y z) t) x)
	4.6b	(/.f64 (*.f64 y z) t)
✓	4.8b	(.f64 (.f64 z x) (/.f64 1 t))

series33.0ms (1%)

Counts

2 → 84

Calls

2 calls:

21.0ms	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (.f64 (*.f64 z x) (/.f64 1 t)))
12.0ms	(.f64 (.f64 z x) (/.f64 1 t))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64`
15×	`*-un-lft-identity_binary64`
14×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
12×	`prod-exp_binary64`

Counts

2 → 68

Calls

2 calls:

8.0ms	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (.f64 (*.f64 z x) (/.f64 1 t)))
7.0ms	(.f64 (.f64 z x) (/.f64 1 t))

simplify101.0ms (3%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-def_binary64`
288×	`associate-*r/_binary64`
279×	`distribute-rgt-in_binary64`
265×	`associate-*l/_binary64`
263×	`distribute-lft-in_binary64`

Counts

152 → 110

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	151	2304
1	389	1910
2	1317	1800
3	4265	1796
4	4767	1793
5	5023	1793

prune98.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	169	4	173

Error

Counts

173 → 4

Alt Table

Status	Error	Program
	38.3b	(*.f64 (-.f64 (/.f64 y t) (/.f64 x t)) z)
✓	4.5b	(-.f64 (+.f64 (/.f64 1 (/.f64 t (.f64 y z))) x) (/.f64 (.f64 z x) t))
✓	2.5b	(fma.f64 (-.f64 y x) (/.f64 z t) x)
✓	4.5b	(-.f64 (+.f64 (/.f64 (.f64 y z) t) x) (.f64 (*.f64 z x) (/.f64 1 t)))

Compiler

Compiled 3719 to 1145 computations (69.2% saved)

regimes591.0ms (17.4%)

Accuracy

Total 1.0b remaining (97.8%)

Threshold costs 1.0b (97.8%)

Counts

57 → 4

Compiler

Compiled 5472 to 3441 computations (37.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
6×	`*-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	42	61
2	57	61
3	67	59
4	70	59
5	71	59
6	71	59

end1.0ms (0%)

Compiler: Compiled 44 to 23 computations (47.7% saved)

sample801.0ms (23.6%)

Algorithm

1×

intervals

Results

306.0ms	8000×	body	128	valid
83.0ms	2056×	body	128	invalid

Compiler

Compiled 125 to 75 computations (40% saved)

Details

analyze767.0ms (22.6%)

sample191.0ms (5.6%)

simplify68.0ms (2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series18.0ms (0.5%)

rewrite1.0ms (0%)

simplify70.0ms (2.1%)

prune17.0ms (0.5%)

localize8.0ms (0.2%)

series60.0ms (1.8%)

rewrite31.0ms (0.9%)

simplify93.0ms (2.8%)

prune106.0ms (3.1%)

localize10.0ms (0.3%)

series46.0ms (1.3%)

rewrite27.0ms (0.8%)

simplify101.0ms (3%)

prune111.0ms (3.3%)

localize9.0ms (0.3%)

series33.0ms (1%)

rewrite19.0ms (0.6%)

simplify101.0ms (3%)

prune98.0ms (2.9%)

regimes591.0ms (17.4%)

bsearch2.0ms (0%)

simplify5.0ms (0.2%)

end1.0ms (0%)

sample801.0ms (23.6%)

Profiling