Details

analyze466.0ms

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

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	75×	body	80	invalid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	1743	9
1	1743	9

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite14.0ms

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:

13.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify26.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5205	348

prune25.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
4×	`times-frac_binary64`
3×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `distribute-lft-out--_binary64`
2×	`div-inv_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-rgt-out--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

1 → 18

Calls

1 calls:

15.0ms

(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))

simplify41.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4994	335
1	4994	335

prune17.0ms

Filtered

15 candidates to 21 candidates (-40.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	21	4	25

Merged error: 0b

Counts

25 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2))

rewrite21.0ms

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:

18.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 (+.f64 x y) z) 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5041	763

prune28.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
58×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
22×	`distribute-lft-out--_binary64`
18×	`cbrt-div_binary64`
15×	`swap-sqr_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64` `distribute-lft-out_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `flip--_binary64`
7×	`difference-of-squares_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 → 111

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 x y) z)) (cbrt.f64 (-.f64 (+.f64 x y) z)))
6.0ms	(cbrt.f64 (-.f64 (+.f64 x y) z))
6.0ms	(cbrt.f64 (-.f64 (+.f64 x y) z))
9.0ms	(cbrt.f64 (-.f64 (+.f64 x y) z))

series135.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 x y) z)) (cbrt.f64 (-.f64 (+.f64 x y) z)))
34.0ms	(cbrt.f64 (-.f64 (+.f64 x y) z))
31.0ms	(cbrt.f64 (-.f64 (+.f64 x y) z))
31.0ms	(cbrt.f64 (-.f64 (+.f64 x y) z))

simplify72.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4906	1476
1	4906	1476

prune50.0ms

Filtered

86 candidates to 123 candidates (-43.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	4	127

Merged error: 0b

Counts

127 → 4

regimes323.0ms

Accuracy

0% (0.0b 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	21	9
1	21	9

end0.0ms

sample580.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
83.0ms	2755×	body	80	invalid

Details

analyze466.0ms

sample20.0ms

simplify112.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series12.0ms

simplify26.0ms

prune25.0ms

localize8.0ms

rewrite16.0ms

series13.0ms

simplify41.0ms

prune17.0ms

localize8.0ms

rewrite21.0ms

series16.0ms

simplify40.0ms

prune28.0ms

localize11.0ms

rewrite44.0ms

series135.0ms

simplify72.0ms

prune50.0ms

regimes323.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample580.0ms

Profiling