Details

analyze470.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	82×	body	80	invalid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	1766	9
1	1766	9

prune4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`distribute-lft-out--_binary64`
3×	`add-cube-cbrt_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2.0))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2.0))

simplify26.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5351	352

prune40.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0.0b

Counts

34 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
23×	`add-exp-log_binary64`
22×	`associate-r_binary64`
18×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64` `associate-l_binary64`
8×	`prod-exp_binary64` `div-exp_binary64`
6×	`unswap-sqr_binary64` `distribute-lft-out--_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

1 → 65

Calls

1 calls:

16.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2.0))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6944	764

prune55.0ms

Filtered

42 candidates to 68 candidates (-61.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0))
0.5b	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

831×	`times-frac_binary64`
589×	`*-un-lft-identity_binary64`
445×	`add-sqr-sqrt_binary64`
349×	`add-cube-cbrt_binary64`
96×	`distribute-lft-out--_binary64`
93×	`associate-/r*_binary64`
48×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
28×	`add-exp-log_binary64`
22×	`div-inv_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 418

Calls

2 calls:

10.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0))
19.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0)))

series29.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0))
14.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5004	7904

prune331.0ms

Filtered

229 candidates to 424 candidates (-85.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	425	4	429

Merged error: 0b

Counts

429 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 0.5 (-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t)))
0.0b	(+.f64 (/.f64 y t) (/.f64 x t))
0.0b	(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
25×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
10×	`add-log-exp_binary64` `associate-r_binary64` `distribute-lft-out--_binary64`
6×	`frac-sub_binary64`
5×	`pow1_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`difference-of-squares_binary64`
3×	`flip3-+_binary64` `sub-neg_binary64` `frac-add_binary64` `associate-l_binary64` `flip-+_binary64` `associate--l+_binary64`
2×	`flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

3 → 74

Calls

3 calls:

25.0ms	(*.f64 0.5 (-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t)))
11.0ms	(+.f64 (/.f64 y t) (/.f64 x t))
19.0ms	(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))

series28.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 0.5 (-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t)))
6.0ms	(+.f64 (/.f64 y t) (/.f64 x t))
9.0ms	(-.f64 (+.f64 (/.f64 y t) (/.f64 x t)) (/.f64 z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4929	1165
1	4929	1165

prune60.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Merged error: 0b

Counts

87 → 4

regimes577.0ms

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	30	13
1	30	13

end0.0ms

sample615.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
84.0ms	2738×	body	80	invalid

Details

analyze470.0ms

sample26.0ms

simplify118.0ms

prune4.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify26.0ms

prune40.0ms

localize7.0ms

rewrite19.0ms

series16.0ms

simplify50.0ms

prune55.0ms

localize7.0ms

rewrite64.0ms

series29.0ms

simplify102.0ms

prune331.0ms

localize8.0ms

rewrite58.0ms

series28.0ms

simplify52.0ms

prune60.0ms

regimes577.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample615.0ms

Profiling