Details

analyze201.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	236×	body	128	valid
2.0ms	11×	body	1024	valid
1.0ms	6×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	405	10
1	405	10

prune5.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (+.f64 6 (.f64 x -9)))

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_17150`
3×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164` `add-cube-cbrt_binary64_17163` `-un-lft-identity_binary64_17128` `associate-l_binary64_17069` `associate-r*_binary64_17068`
2×	`associate-*r/_binary64_17070`
1×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `add-log-exp_binary64_17167` `cbrt-unprod_binary64_17161` `unswap-sqr_binary64_17096` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `flip3-+_binary64_17131` `flip-+_binary64_17102` `*-commutative_binary64_17059`

Counts

1 → 22

Calls

1 calls:

10.0ms

(*.f64 x (+.f64 6 (*.f64 x -9)))

Compiler

Compiled 318 to 241 computations (24.2% saved)

series94.0ms (1.6%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

85.0ms

(*.f64 x (+.f64 6 (*.f64 x -9)))

Compiler

Compiled 107 to 93 computations (13.1% saved)

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5367	328

prune49.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Error

0.0b

Counts

30 → 5

Compiler

Compiled 376 to 283 computations (24.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 6 x) (.f64 (*.f64 x x) -9))
0.2b	(.f64 (.f64 x x) -9)

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_17189` `add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
4×	`add-log-exp_binary64_17167` `add-sqr-sqrt_binary64_17150`
3×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `add-cube-cbrt_binary64_17163` `cbrt-unprod_binary64_17161` `-un-lft-identity_binary64_17128` `associate-r*_binary64_17068`
1×	`unswap-sqr_binary64_17096` `associate-l_binary64_17069` `*-commutative_binary64_17059` `sum-log_binary64_17219` `flip3-+_binary64_17131` `flip-+_binary64_17102` `+-commutative_binary64_17058`

Counts

2 → 30

Calls

2 calls:

10.0ms	(.f64 (.f64 x x) -9)
7.0ms	(+.f64 (.f64 6 x) (.f64 (*.f64 x x) -9))

Compiler

Compiled 489 to 306 computations (37.4% saved)

series146.0ms (2.5%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

94.0ms	(+.f64 (.f64 6 x) (.f64 (*.f64 x x) -9))
43.0ms	(.f64 (.f64 x x) -9)

Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify122.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4918	405
1	4918	405

prune49.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Error

0.0b

Counts

44 → 5

Compiler

Compiled 498 to 346 computations (30.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 6 (*.f64 x -9))
0.1b	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
0.2b	(.f64 x (.f64 x 81))
6.7b	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))

rewrite217.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
11×	`pow1_binary64_17189` `add-sqr-sqrt_binary64_17150`
9×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
6×	`add-log-exp_binary64_17167` `associate-l_binary64_17069`
5×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
4×	`flip3--_binary64_17132` `associate-r/_binary64_17070` `flip--_binary64_17103` `pow-prod-down_binary64_17199` `associate-r*_binary64_17068`
3×	`times-frac_binary64_17134` `associate-/r*_binary64_17072` `sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094`
2×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `associate-/l/_binary64_17075` `associate-/r/_binary64_17074` `*-commutative_binary64_17059` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `associate-/l*_binary64_17073` `unswap-sqr_binary64_17096` `diff-log_binary64_17220`

Counts

4 → 79

Calls

4 calls:

15.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
11.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
9.0ms	(.f64 x (.f64 x 81))
5.0ms	(-.f64 6 (*.f64 x -9))

Compiler

Compiled 1867 to 1391 computations (25.5% saved)

series406.0ms (6.9%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

155.0ms	(/.f64 (.f64 x (-.f64 36 (.f64 x (.f64 x 81)))) (-.f64 6 (.f64 x -9)))
113.0ms	(.f64 x (-.f64 36 (.f64 x (*.f64 x 81))))
60.0ms	(-.f64 6 (*.f64 x -9))
46.0ms	(.f64 x (.f64 x 81))

Compiler

Compiled 648 to 534 computations (17.6% saved)

simplify122.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4892	1353
1	4892	1353

prune187.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Error

Counts

105 → 6

Compiler

Compiled 1870 to 1400 computations (25.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 6 (*.f64 x 9))
0.1b	(/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 (*.f64 x x) 81)))
0.2b	(.f64 (.f64 x x) 81)
0.3b	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 (*.f64 x x) 81))))

rewrite434.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_17134`
58×	`add-sqr-sqrt_binary64_17150`
57×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
18×	`associate-/r*_binary64_17072`
16×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
11×	`associate-/r/_binary64_17074`
9×	`pow1_binary64_17189`
6×	`add-log-exp_binary64_17167` `div-inv_binary64_17125` `associate-/l*_binary64_17073`
5×	`flip3--_binary64_17132` `flip--_binary64_17103`
4×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
3×	`pow-prod-down_binary64_17199` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `associate-r_binary64_17068`
2×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `flip3-+_binary64_17131` `associate-/l/_binary64_17075` `flip-+_binary64_17102`
1×	`unswap-sqr_binary64_17096` `associate-l_binary64_17069` `*-commutative_binary64_17059` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

4 → 139

Calls

4 calls:

18.0ms	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 (*.f64 x x) 81))))
13.0ms	(/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 (*.f64 x x) 81)))
12.0ms	(.f64 (.f64 x x) 81)
5.0ms	(+.f64 6 (*.f64 x 9))

Compiler

Compiled 4121 to 2853 computations (30.8% saved)

series401.0ms (6.8%)

Error

Counts

4 → 27

Calls

4 calls:

179.0ms	(/.f64 x (/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 (*.f64 x x) 81))))
84.0ms	(/.f64 (+.f64 6 (.f64 x 9)) (-.f64 36 (.f64 (*.f64 x x) 81)))
56.0ms	(+.f64 6 (*.f64 x 9))
41.0ms	(.f64 (.f64 x x) 81)

Compiler

Compiled 843 to 690 computations (18.1% saved)

simplify170.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4962	4502
1	4962	4502

prune380.0ms (6.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	166	6	172

Error

Counts

172 → 6

Compiler

Compiled 4024 to 2780 computations (30.9% saved)

regimes286.0ms (4.8%)

Accuracy

Total 0.2b remaining (99.2%)

Threshold costs 0.2b (99.2%)

Compiler

Compiled 1428 to 1170 computations (18.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample2.3s (38.6%)

Algorithm

1×

intervals

Results

360.0ms	7205×	body	128	valid
79.0ms	453×	body	1024	valid
30.0ms	224×	body	512	valid
10.0ms	118×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 732 to 600 computations (18% saved)

Details

analyze201.0ms (3.4%)

sample23.0ms (0.4%)

simplify51.0ms (0.9%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

rewrite53.0ms (0.9%)

series94.0ms (1.6%)

simplify115.0ms (1.9%)

prune49.0ms (0.8%)

localize10.0ms (0.2%)

rewrite60.0ms (1%)

series146.0ms (2.5%)

simplify122.0ms (2.1%)

prune49.0ms (0.8%)

localize17.0ms (0.3%)

rewrite217.0ms (3.7%)

series406.0ms (6.9%)

simplify122.0ms (2.1%)

prune187.0ms (3.2%)

localize19.0ms (0.3%)

rewrite434.0ms (7.3%)

series401.0ms (6.8%)

simplify170.0ms (2.9%)

prune380.0ms (6.4%)

regimes286.0ms (4.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.3s (38.6%)

Profiling