Details

analyze316.0ms (12.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample52.0ms (2.1%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify96.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary64`
621×	`fma-neg_binary64`
457×	`times-frac_binary64`
316×	`div-sub_binary64`
141×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	38	12
3	71	12
4	152	12
5	207	12
6	597	10
7	937	10
8	1314	10
9	1337	10
10	1342	10
11	1369	10
12	1379	10
13	1379	10
14	1274	10

prune5.0ms (0.2%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 35 to 18 computations (48.6% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series17.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

17.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 47

Calls

1 calls:

12.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify203.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

360×	`cancel-sign-sub-inv_binary64`
305×	`neg-mul-1_binary64`
284×	`div-sub_binary64`
252×	`fma-def_binary64`
243×	`fma-neg_binary64`

Counts

71 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1291
1	274	1214
2	795	1163
3	2594	1145
4	4436	1145
5	5107	1145

prune41.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Error

Counts

58 → 3

Alt Table

Status	Error	Program
	32.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	31.5b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)

Compiler

Compiled 935 to 326 computations (65.1% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

series38.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

19.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
19.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64`
80×	`times-frac_binary64`
76×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
52×	`cube-prod_binary64`

Counts

2 → 144

Calls

2 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
10.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

simplify209.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

413×	`fma-def_binary64`
329×	`unswap-sqr_binary64`
283×	`distribute-rgt-in_binary64`
228×	`log-prod_binary64`
219×	`distribute-lft-in_binary64`

Counts

192 → 144

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4212
1	630	3868
2	2080	3747
3	4590	3741
4	4974	3741

prune170.0ms (6.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	201	3	204

Error

Counts

204 → 3

Alt Table

Status	Error	Program
	32.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
▶	31.5b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)

Compiler

Compiled 3792 to 1495 computations (60.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

series17.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

17.0ms

(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 39

Calls

1 calls:

11.0ms

(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))

simplify79.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

332×	`associate-l_binary64`
268×	`associate-r_binary64`
245×	`associate-*l/_binary64`
242×	`associate-*r/_binary64`
228×	`distribute-rgt-in_binary64`

Counts

63 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	1078
1	227	929
2	773	850
3	2605	849
4	4059	838
5	4960	838

prune40.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Error

Counts

66 → 3

Alt Table

Status	Error	Program
▶	32.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	31.5b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)

Compiler

Compiled 1274 to 631 computations (50.5% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 f n))
✓	0.1b	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))

series32.0ms (1.3%)

Counts

2 → 24

Calls

2 calls:

22.0ms	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
9.0ms	(*.f64 2 (/.f64 f n))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`

Counts

2 → 74

Calls

2 calls:

8.0ms	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
6.0ms	(*.f64 2 (/.f64 f n))

simplify79.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-*l/_binary64`
369×	`associate-/l*_binary64`
362×	`fma-def_binary64`
288×	`distribute-rgt-in_binary64`
275×	`distribute-lft-in_binary64`

Counts

98 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1669
1	432	1388
2	1329	1378
3	4758	1378
4	4972	1378

prune69.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Error

Counts

121 → 3

Alt Table

Status	Error	Program
✓	32.4b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	31.5b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)

Compiler

Compiled 2503 to 1312 computations (47.6% saved)

regimes159.0ms (6.3%)

Accuracy

Total 0.0b remaining (70.7%)

Threshold costs 0.0b (70.7%)

Counts

51 → 1

Compiler

Compiled 1758 to 1266 computations (28% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	16	18
2	20	18
3	22	18
4	23	18
5	22	18

end1.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

sample770.0ms (30.6%)

Algorithm

1×

intervals

Results

418.0ms

8000×

body

128

valid

Compiler

Compiled 68 to 46 computations (32.4% saved)

Details

analyze316.0ms (12.6%)

sample52.0ms (2.1%)

simplify96.0ms (3.8%)

prune5.0ms (0.2%)

localize9.0ms (0.4%)

series17.0ms (0.7%)

rewrite18.0ms (0.7%)

simplify203.0ms (8.1%)

prune41.0ms (1.6%)

localize10.0ms (0.4%)

series38.0ms (1.5%)

rewrite37.0ms (1.5%)

simplify209.0ms (8.3%)

prune170.0ms (6.8%)

localize7.0ms (0.3%)

series17.0ms (0.7%)

rewrite13.0ms (0.5%)

simplify79.0ms (3.1%)

prune40.0ms (1.6%)

localize8.0ms (0.3%)

series32.0ms (1.3%)

rewrite19.0ms (0.8%)

simplify79.0ms (3.1%)

prune69.0ms (2.7%)

regimes159.0ms (6.3%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample770.0ms (30.6%)

Profiling