Details

analyze519.0ms (11.2%)

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)

sample31.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
2.0ms	44×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify187.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	357	10
1	357	10

prune4.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite36.0ms (0.8%)

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:

18.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
12.0ms	(/.f64 (-.f64 y x) z)

series85.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(/.f64 (-.f64 y x) z)
38.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

simplify132.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4963	779
1	4963	779

prune74.0ms (1.6%)

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

Merged error: 0b

Counts

58 → 4

Compiler

Compiled 777 to 218 computations (71.9% saved)

localize12.0ms (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))

rewrite77.0ms (1.7%)

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:

34.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
28.0ms	(-.f64 (/.f64 y z) (/.f64 x z))

series86.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(-.f64 (/.f64 y z) (/.f64 x z))
40.0ms	(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))

simplify128.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5045	908

prune78.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	4	74

Merged error: 0b

Counts

74 → 4

Compiler

Compiled 1051 to 236 computations (77.5% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160`
6×	`associate-l_binary64_19` `swap-sqr_binary64_45` `associate-r_binary64_18` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unswap-sqr_binary64_46`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `pow-prod-down_binary64_149`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-plus_binary64_141`

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series634.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
163.0ms	(cbrt.f64 z)
149.0ms	(cbrt.f64 z)
138.0ms	(cbrt.f64 z)

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune114.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

Compiler

Compiled 1435 to 455 computations (68.3% saved)

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 (pow.f64 y 3) (pow.f64 x 3))
1.5b	(.f64 z (+.f64 (.f64 y y) (*.f64 x (+.f64 y x))))
1.6b	(+.f64 (.f64 y y) (.f64 x (+.f64 y x)))
39.0b	(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 z (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))

rewrite118.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`add-sqr-sqrt_binary64_100`
48×	`difference-of-squares_binary64_47`
41×	`*-un-lft-identity_binary64_78`
39×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
25×	`sqr-pow_binary64_50` `times-frac_binary64_84` `associate-/l*_binary64_23`
15×	`distribute-lft-out--_binary64_30`
12×	`cancel-sign-sub-inv_binary64_44`
11×	`add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116`
8×	`add-log-exp_binary64_117`
6×	`pow1_binary64_139`
4×	`associate-*r/_binary64_20`
3×	`associate-l_binary64_19` `flip-+_binary64_52` `associate-r_binary64_18` `difference-cubes_binary64_80` `flip3-+_binary64_81`
2×	`distribute-lft-in_binary64_27` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `flip3--_binary64_82` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28` `flip--_binary64_53` `associate-/r/_binary64_24` `associate-/l/_binary64_25`
1×	`cube-mult_binary64_108` `+-commutative_binary64_8` `-commutative_binary64_9` `diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/r_binary64_22` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `clear-num_binary64_77` `div-sub_binary64_83` `unpow3_binary64_144` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

4 → 150

Calls

4 calls:

42.0ms	(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 z (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
25.0ms	(-.f64 (pow.f64 y 3) (pow.f64 x 3))
12.0ms	(.f64 z (+.f64 (.f64 y y) (*.f64 x (+.f64 y x))))
9.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 y x)))

series323.0ms (7%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(/.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 z (+.f64 (.f64 y y) (*.f64 x (+.f64 y x)))))
89.0ms	(.f64 z (+.f64 (.f64 y y) (*.f64 x (+.f64 y x))))
62.0ms	(-.f64 (pow.f64 y 3) (pow.f64 x 3))
31.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 y x)))

simplify191.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5180	3740

prune332.0ms (7.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	162	4	166

Merged error: 0b

Counts

166 → 4

Compiler

Compiled 4474 to 1887 computations (57.8% saved)

regimes148.0ms (3.2%)

Compiler: Compiled 596 to 422 computations (29.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample1.1s (24.2%)

Algorithm

1×

intervals

Results

376.0ms	8000×	body	128	valid
65.0ms	1360×	body	128	invalid

Compiler

Compiled 159 to 114 computations (28.3% saved)

Details

analyze519.0ms (11.2%)

sample31.0ms (0.7%)

simplify187.0ms (4%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite36.0ms (0.8%)

series85.0ms (1.8%)

simplify132.0ms (2.8%)

prune74.0ms (1.6%)

localize12.0ms (0.3%)

rewrite77.0ms (1.7%)

series86.0ms (1.9%)

simplify128.0ms (2.8%)

prune78.0ms (1.7%)

localize18.0ms (0.4%)

rewrite27.0ms (0.6%)

series634.0ms (13.7%)

simplify117.0ms (2.5%)

prune114.0ms (2.5%)

localize27.0ms (0.6%)

rewrite118.0ms (2.5%)

series323.0ms (7%)

simplify191.0ms (4.1%)

prune332.0ms (7.2%)

regimes148.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (24.2%)

Profiling