Details

analyze145.0ms (3.1%)

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)

sample51.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify84.0ms (1.8%)

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

prune2.0ms (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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.2%)

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:

6.0ms

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

series12.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

simplify178.0ms (3.8%)

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 → 105

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

prune39.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Error

Counts

106 → 5

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	29.4b	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
	34.0b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))

Compiler

Compiled 984 to 341 computations (65.3% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`

Counts

2 → 178

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
7.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

series18.0ms (0.4%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
8.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

simplify361.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

407×	`fma-def_binary64`
316×	`times-frac_binary64`
308×	`fma-neg_binary64`
296×	`distribute-rgt-in_binary64`
253×	`distribute-lft-in_binary64`

Counts

226 → 432

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	4611
1	439	4248
2	1327	4101
3	4264	4083
4	4979	4083
5	4959	4083

prune264.0ms (5.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	431	1	432
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	433	4	437

Error

Counts

437 → 4

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
	34.0b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))

Compiler

Compiled 4609 to 1445 computations (68.6% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
✓	0.0b	(exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
	0.0b	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite101.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64`
207×	`*-un-lft-identity_binary64`
156×	`exp-prod_binary64`
147×	`add-sqr-sqrt_binary64`
135×	`log-pow_binary64`

Counts

3 → 219

Calls

3 calls:

23.0ms	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
16.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
15.0ms	(exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))

series140.0ms (3%)

Counts

3 → 72

Calls

3 calls:

77.0ms	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
32.0ms	(exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))
30.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n))))

simplify434.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

571×	`associate-/l*_binary64`
457×	`associate-/r*_binary64`
423×	`fma-def_binary64`
244×	`associate-*l/_binary64`
221×	`associate-/r/_binary64`

Counts

291 → 558

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	6148
1	573	5600
2	1605	5210
3	4689	5210
4	4984	5210
5	4965	5210

prune617.0ms (13.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	693	0	693
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	693	4	697

Error

Counts

697 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
	34.0b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
▶	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))

Compiler

Compiled 8242 to 2757 computations (66.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
	0.5b	(cbrt.f64 (+.f64 f n))
	0.5b	(cbrt.f64 (+.f64 f n))
✓	0.5b	(cbrt.f64 (+.f64 f n))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
14×	`cbrt-div_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 71

Calls

2 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
7.0ms	(cbrt.f64 (+.f64 f n))

series83.0ms (1.8%)

Counts

2 → 48

Calls

2 calls:

44.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
39.0ms	(cbrt.f64 (+.f64 f n))

simplify199.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
422×	`fma-neg_binary64`
348×	`times-frac_binary64`
243×	`associate-/l*_binary64`
225×	`cancel-sign-sub-inv_binary64`

Counts

119 → 229

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	2877
1	590	2791
2	1697	2535
3	4773	2525
4	5075	2525

prune330.0ms (7.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	457	0	457
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	457	4	461

Error

Counts

461 → 4

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 1 (log.f64 (exp.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
	34.0b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
✓	0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n))) (/.f64 (cbrt.f64 (+.f64 f n)) (-.f64 n f)))

Compiler

Compiled 9223 to 3551 computations (61.5% saved)

regimes344.0ms (7.4%)

Accuracy

Total 0.0b remaining (63.6%)

Threshold costs 0.0b (63.6%)

Compiler

Compiled 2687 to 1679 computations (37.5% saved)

simplify6.0ms (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	10	17
1	15	17
2	19	17
3	21	17
4	22	17
5	21	17

end1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample1.1s (23.8%)

Algorithm

1×

intervals

Results

646.0ms

8000×

body

128

valid

Compiler

Compiled 83 to 50 computations (39.8% saved)

Details

analyze145.0ms (3.1%)

sample51.0ms (1.1%)

simplify84.0ms (1.8%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series12.0ms (0.3%)

simplify178.0ms (3.8%)

prune39.0ms (0.8%)

localize17.0ms (0.4%)

rewrite30.0ms (0.6%)

series18.0ms (0.4%)

simplify361.0ms (7.8%)

prune264.0ms (5.7%)

localize18.0ms (0.4%)

rewrite101.0ms (2.2%)

series140.0ms (3%)

simplify434.0ms (9.4%)

prune617.0ms (13.3%)

localize17.0ms (0.4%)

rewrite31.0ms (0.7%)

series83.0ms (1.8%)

simplify199.0ms (4.3%)

prune330.0ms (7.1%)

regimes344.0ms (7.4%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample1.1s (23.8%)

Profiling