Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

sample10.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 3)
0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 46

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x x) 3)
7.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 3)
7.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

simplify38.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5343	506

prune36.0ms

Filtered

40 candidates to 52 candidates (-30.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 3)
0.1b	(.f64 (-.f64 (.f64 x x) 3) 1/6)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `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×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x x) 3)
9.0ms	(.f64 (-.f64 (.f64 x x) 3) 1/6)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x x) 3)
7.0ms	(.f64 (-.f64 (.f64 x x) 3) 1/6)

simplify56.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4840	302
1	4840	302

prune20.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 3))
0.0b	(/.f64 (-.f64 x (sqrt.f64 3)) 6)
0.0b	(-.f64 x (sqrt.f64 3))
0.7b	(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt_binary64`
46×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
16×	`difference-of-squares_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
4×	`associate-l_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

4.0ms	(+.f64 x (sqrt.f64 3))
8.0ms	(/.f64 (-.f64 x (sqrt.f64 3)) 6)
5.0ms	(-.f64 x (sqrt.f64 3))
15.0ms	(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 x (sqrt.f64 3))
8.0ms	(/.f64 (-.f64 x (sqrt.f64 3)) 6)
4.0ms	(-.f64 x (sqrt.f64 3))
15.0ms	(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

simplify47.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5006	1228

prune65.0ms

Filtered

83 candidates to 126 candidates (-51.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 3)
0.0b	(-.f64 (*.f64 x x) 3)
0.0b	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) 3)) 6)
0.1b	(.f64 (sqrt.f64 (-.f64 (.f64 x x) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) 3)) 6))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
37×	`sqrt-prod_binary64`
36×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`associate-r_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `sqrt-div_binary64`
5×	`flip3--_binary64` `flip--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 125

Calls

4 calls:

5.0ms	(-.f64 (*.f64 x x) 3)
5.0ms	(-.f64 (*.f64 x x) 3)
10.0ms	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) 3)) 6)
18.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) 3)) 6))

series21.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 (*.f64 x x) 3)
4.0ms	(-.f64 (*.f64 x x) 3)
5.0ms	(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) 3)) 6)
7.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) 3)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) 3)) 6))

simplify52.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5097	1644

prune76.0ms

Filtered

96 candidates to 137 candidates (-42.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	137	4	141

Merged error: 0b

Counts

141 → 4

regimes64.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample267.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify5.0ms

prune1.0ms

localize4.0ms

rewrite13.0ms

series11.0ms

simplify38.0ms

prune36.0ms

localize5.0ms

rewrite15.0ms

series12.0ms

simplify56.0ms

prune20.0ms

localize6.0ms

rewrite36.0ms

series31.0ms

simplify47.0ms

prune65.0ms

localize6.0ms

rewrite42.0ms

series21.0ms

simplify52.0ms

prune76.0ms

regimes64.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample267.0ms

Profiling