Details

analyze513.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	76	7
1	76	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`distribute-lft-out_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 z 1.0))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 z 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5035	368

prune41.0ms

Filtered

24 candidates to 33 candidates (-37.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) z)

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (+.f64 x y) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5624	151

prune24.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 z 1.0))
0.2b	(cbrt.f64 (+.f64 z 1.0))
0.2b	(cbrt.f64 (+.f64 z 1.0))
0.2b	(*.f64 (cbrt.f64 (+.f64 z 1.0)) (cbrt.f64 (+.f64 z 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`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 → 95

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 z 1.0))
3.0ms	(cbrt.f64 (+.f64 z 1.0))
3.0ms	(cbrt.f64 (+.f64 z 1.0))
10.0ms	(*.f64 (cbrt.f64 (+.f64 z 1.0)) (cbrt.f64 (+.f64 z 1.0)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 z 1.0))
7.0ms	(cbrt.f64 (+.f64 z 1.0))
7.0ms	(cbrt.f64 (+.f64 z 1.0))
8.0ms	(*.f64 (cbrt.f64 (+.f64 z 1.0)) (cbrt.f64 (+.f64 z 1.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4894	1103
1	4894	1103

prune113.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z 1.0) (-.f64 x y))
2.9b	(.f64 (-.f64 (.f64 z z) (.f64 1.0 1.0)) (-.f64 (.f64 x x) (*.f64 y y)))
3.2b	(-.f64 (.f64 x x) (.f64 y y))
32.2b	(/.f64 (.f64 (-.f64 (.f64 z z) (.f64 1.0 1.0)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z 1.0) (-.f64 x y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`flip3--_binary64` `flip--_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`add-sqr-sqrt_binary64` `frac-times_binary64`
12×	`*-un-lft-identity_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`associate-/l/_binary64` `pow1_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `associate-/r/_binary64` `associate-l/_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 111

Calls

4 calls:

9.0ms	(*.f64 (-.f64 z 1.0) (-.f64 x y))
11.0ms	(.f64 (-.f64 (.f64 z z) (.f64 1.0 1.0)) (-.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))
18.0ms	(/.f64 (.f64 (-.f64 (.f64 z z) (.f64 1.0 1.0)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z 1.0) (-.f64 x y)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 (-.f64 z 1.0) (-.f64 x y))
22.0ms	(.f64 (-.f64 (.f64 z z) (.f64 1.0 1.0)) (-.f64 (.f64 x x) (*.f64 y y)))
7.0ms	(-.f64 (.f64 x x) (.f64 y y))
54.0ms	(/.f64 (.f64 (-.f64 (.f64 z z) (.f64 1.0 1.0)) (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z 1.0) (-.f64 x y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	1734
1	4988	1734

prune117.0ms

Filtered

94 candidates to 123 candidates (-30.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	124	2	126

Merged error: 0b

Counts

126 → 2

regimes152.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample349.0ms

Algorithm

intervals

Results

177.0ms	8000×	body	80	valid
13.0ms	616×	body	80	invalid

Details

analyze513.0ms

sample17.0ms

simplify6.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify52.0ms

prune41.0ms

localize6.0ms

rewrite7.0ms

series7.0ms

simplify43.0ms

prune24.0ms

localize8.0ms

rewrite22.0ms

series29.0ms

simplify75.0ms

prune113.0ms

localize13.0ms

rewrite46.0ms

series92.0ms

simplify60.0ms

prune117.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample349.0ms

Profiling