Details

analyze82.0ms

Algorithm

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
12.5%	87.4%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.7%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

sample20.0ms

Algorithm

intervals

Results

6.0ms	189×	body	80	valid
3.0ms	28×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	15×	body	160	valid

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	5619	11

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 26.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) y)
4.0b	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
9.9b	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r_binary64` `difference-of-squares_binary64` `times-frac_binary64` `associate-l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(*.f64 (-.f64 1 x) y)
12.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
10.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 (-.f64 1 x) y)
11.0ms	(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)))
7.0ms	(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5649	730

prune74.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	5	74

Merged error: 0.2b

Counts

74 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
4.0b	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
13×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`flip3--_binary64` `distribute-lft-out_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 55

Calls

2 calls:

14.0ms	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
4.0ms	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))

series19.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y)))
12.0ms	(-.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (+.f64 1 y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5678	703

prune40.0ms

Filtered

45 candidates to 61 candidates (-35.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Merged error: 0.2b

Counts

66 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
4×	`distribute-lft-out_binary64`
3×	`distribute-lft-out--_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `times-frac_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

2 → 33

Calls

2 calls:

13.0ms	(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
7.0ms	(+.f64 x (/.f64 1 y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(-.f64 (+.f64 x (/.f64 1 y)) (/.f64 x y))
3.0ms	(+.f64 x (/.f64 1 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5042	402

prune29.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	36	8	44

Merged error: 0.2b

Counts

44 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) (cbrt.f64 (+.f64 x (/.f64 1 y))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 1 y)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 1 y)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 1 y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64`
51×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`distribute-lft-out_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64` `div-inv_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) (cbrt.f64 (+.f64 x (/.f64 1 y))))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 1 y)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 1 y)))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 1 y)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 1 y))) (cbrt.f64 (+.f64 x (/.f64 1 y))))
31.0ms	(cbrt.f64 (+.f64 x (/.f64 1 y)))
33.0ms	(cbrt.f64 (+.f64 x (/.f64 1 y)))
32.0ms	(cbrt.f64 (+.f64 x (/.f64 1 y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4910	1580
1	4910	1580

prune90.0ms

Filtered

80 candidates to 117 candidates (-46.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	9	125

Merged error: 0.2b

Counts

125 → 9

regimes197.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 14.8b

bsearch27.0ms

Steps

Iters	Range		Point
6	37482444.65555312	238794630.45306543	163426596.76999485
10	-3452434089791148.5	-411777.8351380033	-141308008.54052335

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	149	29
1	149	29

end0.0ms

sample559.0ms

Algorithm

intervals

Results

195.0ms	6040×	body	80	valid
98.0ms	767×	body	640	valid
57.0ms	374×	body	1280	valid
51.0ms	511×	body	320	valid
19.0ms	308×	body	160	valid

Details

analyze82.0ms

sample20.0ms

simplify148.0ms

prune4.0ms

localize7.0ms

rewrite31.0ms

series23.0ms

simplify40.0ms

prune74.0ms

localize7.0ms

rewrite20.0ms

series19.0ms

simplify53.0ms

prune40.0ms

localize6.0ms

rewrite21.0ms

series9.0ms

simplify48.0ms

prune29.0ms

localize10.0ms

rewrite44.0ms

series140.0ms

simplify70.0ms

prune90.0ms

regimes197.0ms

bsearch27.0ms

simplify4.0ms

end0.0ms

sample559.0ms

Profiling