Details

analyze446.0ms (12.3%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
2.0ms	37×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify182.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	357	10
1	357	10

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
0.0b	(/.f64 (-.f64 y x) z)

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_78`
20×	`add-sqr-sqrt_binary64_100`
15×	`times-frac_binary64_84`
12×	`add-cube-cbrt_binary64_113`
5×	`associate-/l*_binary64_23`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `distribute-lft-out--_binary64_30` `add-exp-log_binary64_116` `difference-of-squares_binary64_47`
3×	`associate-/r*_binary64_22`
2×	`div-sub_binary64_83` `associate-/l/_binary64_25` `pow1_binary64_139`
1×	`+-commutative_binary64_8` `associate-+r-_binary64_12` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip-+_binary64_52` `flip3--_binary64_82` `frac-2neg_binary64_89` `div-inv_binary64_75` `flip--_binary64_53` `clear-num_binary64_77` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
9.0ms	(/.f64 (-.f64 y x) z)

series69.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(/.f64 (-.f64 y x) z)
23.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

simplify102.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4963	779
1	4963	779

prune47.0ms (1.3%)

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

Compiler

Compiled 774 to 212 computations (72.6% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
0.0b	(-.f64 (/.f64 y z) (/.f64 x z))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_78`
30×	`add-sqr-sqrt_binary64_100`
28×	`times-frac_binary64_84`
26×	`cancel-sign-sub-inv_binary64_44`
18×	`add-cube-cbrt_binary64_113`
14×	`associate-+r+_binary64_10`
9×	`add-log-exp_binary64_117`
5×	`distribute-lft-out--_binary64_30`
4×	`div-inv_binary64_75` `difference-of-squares_binary64_47`
2×	`add-cbrt-cube_binary64_114` `diff-log_binary64_170` `add-exp-log_binary64_116` `distribute-lft-out_binary64_29` `sub-neg_binary64_71` `pow1_binary64_139` `sum-log_binary64_169`
1×	`+-commutative_binary64_8` `associate-+r-_binary64_12` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `flip--_binary64_53` `sub-div_binary64_85` `distribute-rgt-out--_binary64_32` `flip3-+_binary64_81`

Counts

2 → 64

Calls

2 calls:

19.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
18.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

series48.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
23.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

simplify97.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5045	908

prune68.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Error

Counts

73 → 3

Compiler

Compiled 1048 to 230 computations (78.1% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b	(/.f64 z (-.f64 y x))
0.3b	(/.f64 1 (/.f64 z (-.f64 y x)))

rewrite79.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_84`
106×	`*-un-lft-identity_binary64_78`
103×	`add-sqr-sqrt_binary64_100`
71×	`add-cube-cbrt_binary64_113`
26×	`associate-/r*_binary64_22`
16×	`distribute-lft-out--_binary64_30` `add-exp-log_binary64_116` `difference-of-squares_binary64_47`
11×	`associate-/r/_binary64_24`
10×	`add-cbrt-cube_binary64_114`
8×	`div-exp_binary64_129`
7×	`div-inv_binary64_75`
6×	`associate-/l*_binary64_23`
5×	`add-log-exp_binary64_117` `flip3--_binary64_82` `flip--_binary64_53`
4×	`cbrt-undiv_binary64_112` `pow1_binary64_139`
2×	`frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77` `distribute-lft-out_binary64_29`
1×	`+-commutative_binary64_8` `inv-pow_binary64_163` `flip-+_binary64_52` `pow-flip_binary64_152` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

3 → 158

Calls

3 calls:

35.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
19.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))
11.0ms	(/.f64 z (-.f64 y x))

series112.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))
41.0ms	(/.f64 z (-.f64 y x))
27.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))

simplify163.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5318	2796

prune168.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	167	3	170

Error

Counts

170 → 3

Compiler

Compiled 2648 to 806 computations (69.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 y x) z)
0.3b	(*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))
5.3b	(-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)))
27.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) (-.f64 x (/.f64 (-.f64 y x) z)))

rewrite76.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

135×	`add-sqr-sqrt_binary64_100`
126×	`*-un-lft-identity_binary64_78`
120×	`times-frac_binary64_84`
66×	`add-cube-cbrt_binary64_113`
34×	`difference-of-squares_binary64_47`
27×	`distribute-lft-out--_binary64_30`
25×	`swap-sqr_binary64_45`
20×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
19×	`associate-l_binary64_19` `associate-r_binary64_18`
11×	`pow1_binary64_139`
9×	`associate-/l_binary64_23` `associate-/r_binary64_22`
6×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip3--_binary64_82` `flip--_binary64_53` `unswap-sqr_binary64_46` `associate-/l/_binary64_25`
2×	`frac-2neg_binary64_89` `associate-/r/_binary64_24` `clear-num_binary64_77` `div-sub_binary64_83`
1×	`pow2_binary64_159` `-commutative_binary64_9` `pow-sqr_binary64_51` `diff-log_binary64_170` `frac-times_binary64_88` `pow-prod-up_binary64_148` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-*r/_binary64_20` `cancel-sign-sub-inv_binary64_44` `pow-plus_binary64_141` `sub-neg_binary64_71`

Counts

4 → 193

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) (-.f64 x (/.f64 (-.f64 y x) z)))
19.0ms	(*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)
5.0ms	(-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)))

series457.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))) (-.f64 x (/.f64 (-.f64 y x) z)))
117.0ms	(-.f64 (.f64 x x) (.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z)))
48.0ms	(*.f64 (/.f64 (-.f64 y x) z) (/.f64 (-.f64 y x) z))
31.0ms	(/.f64 (-.f64 y x) z)

simplify126.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4983	4698
1	4983	4698

prune259.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	205	3	208

Error

Counts

208 → 3

Compiler

Compiled 5945 to 1117 computations (81.2% saved)

regimes107.0ms (2.9%)

Accuracy

Total 0.0b remaining (78.8%)

Threshold costs 0.0b (78.8%)

Compiler

Compiled 712 to 470 computations (34% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms (0%)

sample875.0ms (24.1%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
51.0ms	1442×	body	128	invalid

Compiler

Compiled 190 to 127 computations (33.2% saved)

Details

analyze446.0ms (12.3%)

sample27.0ms (0.8%)

simplify182.0ms (5%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite22.0ms (0.6%)

series69.0ms (1.9%)

simplify102.0ms (2.8%)

prune47.0ms (1.3%)

localize11.0ms (0.3%)

rewrite42.0ms (1.1%)

series48.0ms (1.3%)

simplify97.0ms (2.7%)

prune68.0ms (1.9%)

localize12.0ms (0.3%)

rewrite79.0ms (2.2%)

series112.0ms (3.1%)

simplify163.0ms (4.5%)

prune168.0ms (4.6%)

localize20.0ms (0.5%)

rewrite76.0ms (2.1%)

series457.0ms (12.6%)

simplify126.0ms (3.5%)

prune259.0ms (7.1%)

regimes107.0ms (2.9%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample875.0ms (24.1%)

Profiling