Details

analyze112.0ms

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
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample25.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	257	10
1	257	10

prune1.0ms

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 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 32

Calls

2 calls:

6.0ms	(*.f64 (+.f64 x 1) y)
6.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

series34.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(*.f64 (+.f64 x 1) y)
15.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify132.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4934	440
1	4934	440

prune26.0ms

Filtered

25 candidates to 38 candidates (-52.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Merged error: 0b

Counts

39 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (+.f64 x 1) y)) (cbrt.f64 (*.f64 (+.f64 x 1) y)))
0.6b	(cbrt.f64 (*.f64 (+.f64 x 1) y))
0.6b	(cbrt.f64 (*.f64 (+.f64 x 1) y))
0.6b	(cbrt.f64 (*.f64 (+.f64 x 1) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x 1) y)) (cbrt.f64 (*.f64 (+.f64 x 1) y)))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
4.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
5.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))

series315.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 x 1) y)) (cbrt.f64 (*.f64 (+.f64 x 1) y)))
66.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
72.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))
75.0ms	(cbrt.f64 (*.f64 (+.f64 x 1) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4905	1477
1	4905	1477

prune89.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
5.3b	(.f64 y (-.f64 (.f64 x x) 1))
8.8b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
8.0ms	(.f64 y (-.f64 (.f64 x x) 1))
11.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

series157.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
45.0ms	(.f64 y (-.f64 (.f64 x x) 1))
66.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

simplify71.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5045	1151

prune51.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Merged error: 0b

Counts

84 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
0.0b	(sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x 1) y) x)) (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

6.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
6.0ms	(sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
6.0ms	(sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
18.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x 1) y) x)) (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
37.0ms	(sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
34.0ms	(sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x))
15.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x 1) y) x)) (sqrt.f64 (-.f64 (*.f64 (+.f64 x 1) y) x)))

simplify109.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4928	1975
1	4928	1975

prune72.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	110	4	114

Merged error: 0b

Counts

114 → 4

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample301.0ms

Algorithm

intervals

Results

176.0ms	7999×	body	80	valid
2.0ms	75×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze112.0ms

sample25.0ms

simplify26.0ms

prune1.0ms

localize5.0ms

rewrite13.0ms

series34.0ms

simplify132.0ms

prune26.0ms

localize9.0ms

rewrite23.0ms

series315.0ms

simplify89.0ms

prune89.0ms

localize8.0ms

rewrite34.0ms

series157.0ms

simplify71.0ms

prune51.0ms

localize7.0ms

rewrite40.0ms

series99.0ms

simplify109.0ms

prune72.0ms

regimes32.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample301.0ms

Profiling