Details

analyze58.0ms (2.3%)

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)

sample120.0ms (4.9%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify79.0ms (3.2%)

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

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

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite71.0ms (2.9%)

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:

68.0ms

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

simplify74.0ms (3%)

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

prune75.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Error

Counts

58 → 4

Alt Table

Status	Error	Program
	31.4b	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	31.6b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 960 to 335 computations (65.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series92.0ms (3.7%)

Counts

2 → 48

Calls

2 calls:

77.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

rewrite32.0ms (1.3%)

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:

9.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
9.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

simplify119.0ms (4.8%)

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

prune129.0ms (5.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	202	3	205

Error

Counts

205 → 3

Alt Table

Status	Error	Program
▶	0.8b	(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	31.6b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 3799 to 1498 computations (60.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))
	0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
✓	1.8b	(log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

series39.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

24.0ms	(log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
15.0ms	(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
3×	`expm1-log1p-u_binary64`

Counts

2 → 24

Calls

2 calls:

1.0ms	(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))
0.0ms	(log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

simplify81.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-neg_binary64`
515×	`fma-def_binary64`
371×	`associate-+l+_binary64`
283×	`associate-+r+_binary64`
279×	`times-frac_binary64`

Counts

72 → 80

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	1504
1	355	1349
2	1076	1269
3	4210	1263
4	4942	1257
5	5079	1257

prune124.0ms (5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	203	3	206

Error

Counts

206 → 3

Alt Table

Status	Error	Program
✓	0.8b	(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	31.6b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 4025 to 1992 computations (50.5% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
✓	0.2b	(pow.f64 (/.f64 n f) 3)
✓	10.3b	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))

series99.0ms (4%)

Counts

3 → 72

Calls

3 calls:

58.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
25.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
15.0ms	(pow.f64 (/.f64 n f) 3)

rewrite153.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
32×	`fma-def_binary64`

Counts

3 → 138

Calls

3 calls:

129.0ms	(+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)))
11.0ms	(*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))
3.0ms	(pow.f64 (/.f64 n f) 3)

simplify104.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

548×	`fma-neg_binary64`
280×	`log-prod_binary64`
273×	`associate-r_binary64`
258×	`associate-l_binary64`
225×	`cancel-sign-sub-inv_binary64`

Counts

210 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	2963
1	550	2639
2	2534	2606
3	4175	2578
4	5006	2578

prune118.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	3	173

Error

Counts

173 → 3

Alt Table

Status	Error	Program
✓	0.8b	(cbrt.f64 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	31.6b	(fma.f64 -2 (+.f64 (pow.f64 (/.f64 n f) 3) (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f))) -1)

Compiler

Compiled 4572 to 2336 computations (48.9% saved)

regimes243.0ms (9.8%)

Accuracy

Total 0.0b remaining (63.3%)

Threshold costs 0.0b (63.3%)

Counts

76 → 1

Compiler

Compiled 2966 to 2137 computations (28% saved)

simplify2.0ms (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	8	14
1	11	14
2	16	14
3	18	14
4	19	14
5	19	14

end0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample614.0ms (24.9%)

Algorithm

1×

intervals

Results

357.0ms

8000×

body

128

valid

Compiler

Compiled 67 to 43 computations (35.8% saved)

Details

analyze58.0ms (2.3%)

sample120.0ms (4.9%)

simplify79.0ms (3.2%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series9.0ms (0.3%)

rewrite71.0ms (2.9%)

simplify74.0ms (3%)

prune75.0ms (3%)

localize7.0ms (0.3%)

series92.0ms (3.7%)

rewrite32.0ms (1.3%)

simplify119.0ms (4.8%)

prune129.0ms (5.2%)

localize9.0ms (0.4%)

series39.0ms (1.6%)

rewrite2.0ms (0.1%)

simplify81.0ms (3.3%)

prune124.0ms (5%)

localize9.0ms (0.3%)

series99.0ms (4%)

rewrite153.0ms (6.2%)

simplify104.0ms (4.2%)

prune118.0ms (4.8%)

regimes243.0ms (9.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample614.0ms (24.9%)

Profiling