Details

analyze55.0ms

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample17.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	183	7
1	183	7

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4908	208
1	4908	208

prune36.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
10.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
33.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
36.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
41.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4954	1322
1	4954	1322

prune127.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_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` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
48.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
49.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
47.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4936	1262
1	4936	1262

prune113.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
1.0b	(.f64 x (-.f64 1 (.f64 (.f64 x y) (.f64 x y))))
8.9b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (.f64 x y) (.f64 x y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`associate-*r/_binary64`
7×	`*-un-lft-identity_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
9.0ms	(.f64 x (-.f64 1 (.f64 (.f64 x y) (.f64 x y))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (.f64 x y) (.f64 x y)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
50.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
14.0ms	(.f64 x (-.f64 1 (.f64 (.f64 x y) (.f64 x y))))
28.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 (.f64 x y) (.f64 x y)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4986	827
1	4986	827

prune97.0ms

Filtered

60 candidates to 69 candidates (-15.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

regimes147.0ms

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	34	7
1	34	7

end0.0ms

sample308.0ms

Algorithm

intervals

Results

179.0ms	8000×	body	80	valid
2.0ms	105×	body	80	invalid

Details

analyze55.0ms

sample17.0ms

simplify13.0ms

prune3.0ms

localize5.0ms

rewrite7.0ms

series7.0ms

simplify41.0ms

prune36.0ms

localize8.0ms

rewrite21.0ms

series144.0ms

simplify59.0ms

prune127.0ms

localize9.0ms

rewrite24.0ms

series208.0ms

simplify57.0ms

prune113.0ms

localize17.0ms

rewrite25.0ms

series139.0ms

simplify46.0ms

prune97.0ms

regimes147.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample308.0ms

Profiling