Details

analyze4.0ms

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
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample19.0ms

Algorithm

intervals

Results

6.0ms	64×	body	640	valid
3.0ms	128×	body	80	valid
3.0ms	38×	body	320	valid
1.0ms	26×	body	160	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	649	11
1	649	11

prune8.0ms

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: 14.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 x 1.0))
0.0b	(/.f64 1.0 (-.f64 x 1.0))
2.2b	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
50×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
25×	`distribute-lft-out--_binary64`
10×	`distribute-lft-out_binary64`
9×	`associate-/r*_binary64`
8×	`difference-of-squares_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`div-inv_binary64`
3×	`pow1_binary64` `flip--_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 101

Calls

3 calls:

6.0ms	(/.f64 1.0 (+.f64 x 1.0))
5.0ms	(/.f64 1.0 (-.f64 x 1.0))
24.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/.f64 1.0 (+.f64 x 1.0))
3.0ms	(/.f64 1.0 (-.f64 x 1.0))
9.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4895	1239
1	4895	1239

prune107.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Merged error: 0.3b

Counts

111 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 1.0 x) (-.f64 x 1.0))
0.3b	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`*-un-lft-identity_binary64` `associate-/r/_binary64` `add-sqr-sqrt_binary64` `frac-times_binary64`
6×	`flip3-+_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `associate-l/_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

2 → 64

Calls

2 calls:

9.0ms	(*.f64 (+.f64 1.0 x) (-.f64 x 1.0))
13.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (+.f64 1.0 x) (-.f64 x 1.0))
6.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

simplify31.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5363	920

prune72.0ms

Filtered

46 candidates to 70 candidates (-52.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 1.0 x))
0.1b	(/.f64 (.f64 (.f64 1.0 -2) (/.f64 1.0 (+.f64 1.0 x))) (-.f64 x 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64` `times-frac_binary64`
13×	`add-cube-cbrt_binary64`
9×	`associate-/r*_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`distribute-lft-out_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 67

Calls

2 calls:

5.0ms	(/.f64 1.0 (+.f64 1.0 x))
14.0ms	(/.f64 (.f64 (.f64 1.0 -2) (/.f64 1.0 (+.f64 1.0 x))) (-.f64 x 1.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 1.0 (+.f64 1.0 x))
6.0ms	(/.f64 (.f64 (.f64 1.0 -2) (/.f64 1.0 (+.f64 1.0 x))) (-.f64 x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4979	860
1	4979	860

prune70.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Merged error: 0.0b

Counts

76 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (-.f64 (*.f64 x x) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-/r*_binary64` `times-frac_binary64`
3×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `div-exp_binary64`
2×	`associate-/r/_binary64` `difference-of-squares_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 27

Calls

1 calls:

10.0ms

(/.f64 (*.f64 1.0 (*.f64 1.0 -2)) (-.f64 (*.f64 x x) 1.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/.f64 (*.f64 1.0 (*.f64 1.0 -2)) (-.f64 (*.f64 x x) 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5979	396

prune25.0ms

Filtered

22 candidates to 30 candidates (-36.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample541.0ms

Algorithm

intervals

Results

209.0ms	1965×	body	640	valid
117.0ms	4216×	body	80	valid
92.0ms	1211×	body	320	valid
32.0ms	608×	body	160	valid

Details

analyze4.0ms

sample19.0ms

simplify51.0ms

prune8.0ms

localize7.0ms

rewrite39.0ms

series15.0ms

simplify76.0ms

prune107.0ms

localize7.0ms

rewrite24.0ms

series14.0ms

simplify31.0ms

prune72.0ms

localize8.0ms

rewrite21.0ms

series9.0ms

simplify40.0ms

prune70.0ms

localize6.0ms

rewrite11.0ms

series5.0ms

simplify42.0ms

prune25.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample541.0ms

Profiling