Details

analyze537.0ms

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
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

sample40.0ms

Algorithm

intervals

Results

9.0ms	179×	body	80	valid
8.0ms	32×	body	1280	valid
4.0ms	24×	body	640	valid
4.0ms	20×	body	1280	nan
3.0ms	18×	body	640	nan
1.0ms	11×	body	320	valid
1.0ms	9×	body	320	nan
1.0ms	10×	body	160	valid
0.0ms	5×	body	160	nan
0.0ms	10×	body	80	nan

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	4867	12
1	4867	12

prune2.0ms

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: 19.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
2.8b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
3.9b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64`
57×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
27×	`difference-of-squares_binary64`
17×	`add-cube-cbrt_binary64`
15×	`distribute-lft-out--_binary64`
8×	`log-prod_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `div-sub_binary64` `log-div_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 94

Calls

3 calls:

10.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
17.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
21.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

series30.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
10.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
14.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4993	1400
1	4993	1400

prune91.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Merged error: 0.1b

Counts

104 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 y))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
3.9b	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
5.7b	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
18×	`add-exp-log_binary64`
15×	`difference-of-squares_binary64`
11×	`add-cbrt-cube_binary64`
8×	`pow1_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate-l_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`log-prod_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `log-div_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `log-pow_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

7.0ms	(/.f64 1 (-.f64 1 y))
16.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
4.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
5.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/.f64 1 (-.f64 1 y))
6.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
14.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
11.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4965	1364
1	4965	1364

prune72.0ms

Filtered

92 candidates to 135 candidates (-46.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Merged error: 0.1b

Counts

137 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
3.2b	(log.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))))
4.5b	(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
7.3b	(/.f64 x (*.f64 y y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64`
11×	`add-log-exp_binary64` `times-frac_binary64`
10×	`add-exp-log_binary64`
9×	`frac-add_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
8×	`distribute-lft-out_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `log-prod_binary64` `log-div_binary64` `flip-+_binary64`
4×	`distribute-rgt-out_binary64` `sum-log_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64` `+-commutative_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-rgt1-in_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-+r+_binary64`

Counts

4 → 77

Calls

4 calls:

20.0ms	(+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
22.0ms	(log.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))))
10.0ms	(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
5.0ms	(/.f64 x (*.f64 y y))

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
9.0ms	(log.f64 (+.f64 (/.f64 -1 y) (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))))
8.0ms	(+.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
6.0ms	(/.f64 x (*.f64 y y))

simplify74.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4956	1266
1	4956	1266

prune50.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0.1b

Counts

91 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

4.5b	(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))
7.3b	(/.f64 x (*.f64 y y))
7.3b	(/.f64 x (*.f64 y y))
7.3b	(/.f64 x (*.f64 y y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`associate-/l*_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`div-inv_binary64`
4×	`pow1_binary64` `distribute-rgt-out_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
2×	`distribute-lft-out_binary64`
1×	`flip3-+_binary64` `distribute-lft1-in_binary64` `frac-add_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 82

Calls

4 calls:

12.0ms	(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))
5.0ms	(/.f64 x (*.f64 y y))
5.0ms	(/.f64 x (*.f64 y y))
5.0ms	(/.f64 x (*.f64 y y))

series25.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))
6.0ms	(/.f64 x (*.f64 y y))
6.0ms	(/.f64 x (*.f64 y y))
6.0ms	(/.f64 x (*.f64 y y))

simplify59.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4980	687
1	4980	687

prune68.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0.1b

Counts

98 → 4

regimes78.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.6b

bsearch96.0ms

Steps

Iters	Range		Point
9	2790.74514054375	986432512055.9371	185654295.45126134
10	-5354224769.363369	-0.45370951116038327	-290978134.3550072

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	163	39
1	163	39

end0.0ms

sample1.2s

Algorithm

intervals

Results

275.0ms	5735×	body	80	valid
195.0ms	785×	body	1280	valid
145.0ms	808×	body	640	valid
125.0ms	692×	body	1280	nan
108.0ms	750×	body	640	nan
58.0ms	446×	body	320	valid
45.0ms	429×	body	320	nan
19.0ms	226×	body	160	valid
19.0ms	240×	body	160	nan
12.0ms	334×	body	80	nan

Details

analyze537.0ms

sample40.0ms

simplify185.0ms

prune2.0ms

localize8.0ms

rewrite52.0ms

series30.0ms

simplify41.0ms

prune91.0ms

localize12.0ms

rewrite37.0ms

series34.0ms

simplify49.0ms

prune72.0ms

localize10.0ms

rewrite60.0ms

series28.0ms

simplify74.0ms

prune50.0ms

localize18.0ms

rewrite30.0ms

series25.0ms

simplify59.0ms

prune68.0ms

regimes78.0ms

bsearch96.0ms

simplify4.0ms

end0.0ms

sample1.2s

Profiling