Details

analyze42.0ms (1.9%)

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)

sample189.0ms (8.6%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify72.0ms (3.3%)

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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite9.0ms (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:

6.0ms

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

simplify122.0ms (5.5%)

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

prune35.0ms (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
▶	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
	0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
	34.9b	(fma.f64 2 (/.f64 f n) 1)

Compiler

Compiled 915 to 314 computations (65.7% saved)

localize7.0ms (0.3%)

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	(/.f64 (+.f64 f n) (-.f64 n f))
✓	0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series34.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
16.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

rewrite33.0ms (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:

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))

simplify128.0ms (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

prune133.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	201	3	204

Error

Counts

204 → 3

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
▶	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
	0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

Compiler

Compiled 3778 to 1485 computations (60.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series31.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

17.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
14.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite22.0ms (1%)

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:

8.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
7.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

simplify78.0ms (3.6%)

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

prune150.0ms (6.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	176	3	179

Error

Counts

179 → 3

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
▶	0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

Compiler

Compiled 3101 to 977 computations (68.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

series126.0ms (5.7%)

Counts

1 → 24

Calls

1 calls:

126.0ms

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

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
21×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64`
17×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`

Counts

1 → 51

Calls

1 calls:

12.0ms

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

simplify96.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

487×	`fma-neg_binary64`
348×	`cancel-sign-sub-inv_binary64`
328×	`fma-def_binary64`
290×	`distribute-rgt-in_binary64`
275×	`associate-l_binary64`

Counts

75 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1174
1	302	1060
2	1020	1000
3	3299	994
4	4716	994
5	4998	994
6	4968	994

prune48.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Error

Counts

91 → 3

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
✓	0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

Compiler

Compiled 1481 to 578 computations (61% saved)

regimes105.0ms (4.8%)

Accuracy

Total 0.0b remaining (41.5%)

Threshold costs 0.0b (41.5%)

Counts

33 → 1

Compiler

Compiled 1022 to 716 computations (29.9% 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	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)

sample695.0ms (31.5%)

Algorithm

1×

intervals

Results

333.0ms

8000×

body

128

valid

Compiler

Compiled 58 to 38 computations (34.5% saved)

Details

analyze42.0ms (1.9%)

sample189.0ms (8.6%)

simplify72.0ms (3.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series11.0ms (0.5%)

rewrite9.0ms (0.4%)

simplify122.0ms (5.5%)

prune35.0ms (1.6%)

localize7.0ms (0.3%)

series34.0ms (1.5%)

rewrite33.0ms (1.5%)

simplify128.0ms (5.8%)

prune133.0ms (6%)

localize7.0ms (0.3%)

series31.0ms (1.4%)

rewrite22.0ms (1%)

simplify78.0ms (3.6%)

prune150.0ms (6.8%)

localize5.0ms (0.2%)

series126.0ms (5.7%)

rewrite16.0ms (0.7%)

simplify96.0ms (4.3%)

prune48.0ms (2.2%)

regimes105.0ms (4.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample695.0ms (31.5%)

Profiling