Details

analyze37.0ms (1.5%)

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)

sample123.0ms (5.2%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify76.0ms (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

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)

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 (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite10.0ms (0.4%)

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:

7.0ms

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

simplify77.0ms (3.3%)

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

prune101.0ms (4.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Error

Counts

58 → 4

Alt Table

Status	Error	Program
	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	32.2b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
▶	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Compiler

Compiled 949 to 334 computations (64.8% saved)

localize7.0ms (0.3%)

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))

series73.0ms (3.1%)

Counts

2 → 48

Calls

2 calls:

64.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
9.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

rewrite35.0ms (1.5%)

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:

10.0ms	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
7.0ms	(/.f64 (-.f64 n f) (+.f64 f n))

simplify166.0ms (7%)

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 → 235

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

prune122.0ms (5.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	235	4	239

Error

Counts

239 → 4

Alt Table

Status	Error	Program
	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	32.2b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
▶	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Compiler

Compiled 4596 to 1441 computations (68.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series29.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
13.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`*-un-lft-identity_binary64`
52×	`exp-prod_binary64`
40×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
27×	`log-pow_binary64`

Counts

2 → 76

Calls

2 calls:

7.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
7.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

simplify76.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

454×	`times-frac_binary64`
368×	`cancel-sign-sub-inv_binary64`
313×	`associate-/l*_binary64`
290×	`fma-neg_binary64`
267×	`fma-def_binary64`

Counts

124 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2152
1	333	2044
2	939	1918
3	3637	1903
4	5016	1903

prune268.0ms (11.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	176	4	180

Error

Counts

180 → 4

Alt Table

Status	Error	Program
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	32.2b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Compiler

Compiled 3130 to 996 computations (68.2% saved)

localize6.0ms (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)

series35.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
17.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

rewrite33.0ms (1.4%)

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)
8.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

simplify137.0ms (5.8%)

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

prune161.0ms (6.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	201	4	205

Error

Counts

205 → 4

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	32.2b	(fma.f64 (*.f64 (+.f64 (/.f64 n f) 1) (/.f64 n f)) -2 -1)
✓	0.0b	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

Compiler

Compiled 3770 to 1480 computations (60.7% saved)

regimes143.0ms (6%)

Accuracy

Total 0.0b remaining (61.2%)

Threshold costs 0.0b (61.2%)

Counts

59 → 1

Compiler

Compiled 1802 to 1304 computations (27.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	12
2	29	12
3	37	12
4	40	12
5	40	12

end0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample610.0ms (25.7%)

Algorithm

1×

intervals

Results

356.0ms

8000×

body

128

valid

Compiler

Compiled 71 to 46 computations (35.2% saved)

Details

analyze37.0ms (1.5%)

sample123.0ms (5.2%)

simplify76.0ms (3.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series9.0ms (0.4%)

rewrite10.0ms (0.4%)

simplify77.0ms (3.3%)

prune101.0ms (4.3%)

localize7.0ms (0.3%)

series73.0ms (3.1%)

rewrite35.0ms (1.5%)

simplify166.0ms (7%)

prune122.0ms (5.1%)

localize8.0ms (0.3%)

series29.0ms (1.2%)

rewrite22.0ms (0.9%)

simplify76.0ms (3.2%)

prune268.0ms (11.3%)

localize6.0ms (0.3%)

series35.0ms (1.5%)

rewrite33.0ms (1.4%)

simplify137.0ms (5.8%)

prune161.0ms (6.8%)

regimes143.0ms (6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample610.0ms (25.7%)

Profiling