Details

analyze59.0ms

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

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	185	10
1	185	10

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

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)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify87.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4880	308
1	4880	308

prune21.0ms

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

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

rewrite22.0ms

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

series851.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
201.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
202.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
203.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

simplify74.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5006	1932

prune107.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/_binary64`
16×	`cbrt-div_binary64`
12×	`pow1/3_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`pow-prod-down_binary64` `cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`cbrt-unprod_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`swap-sqr_binary64` `associate-r_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x y)))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
3.0ms	(cbrt.f64 x)

series739.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x y)))))
203.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
204.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
88.0ms	(cbrt.f64 x)

simplify76.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4964	1869
1	4964	1869

prune104.0ms

Filtered

65 candidates to 76 candidates (-16.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Merged error: 0b

Counts

84 → 8

localize12.0ms

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/_binary64`
16×	`cbrt-div_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
8×	`flip3--_binary64` `flip--_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:

6.0ms	(.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))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
1.0ms	(cbrt.f64 x)

series714.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
195.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
197.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
85.0ms	(cbrt.f64 x)

simplify76.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4954	1708
1	4954	1708

prune98.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	84	8	92

Merged error: 0b

Counts

92 → 8

regimes61.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms

sample303.0ms

Algorithm

intervals

Results

176.0ms	8000×	body	80	valid
2.0ms	76×	body	80	invalid

Details

analyze59.0ms

sample12.0ms

simplify24.0ms

prune1.0ms

localize5.0ms

rewrite7.0ms

series33.0ms

simplify87.0ms

prune21.0ms

localize9.0ms

rewrite22.0ms

series851.0ms

simplify74.0ms

prune107.0ms

localize12.0ms

rewrite24.0ms

series739.0ms

simplify76.0ms

prune104.0ms

localize12.0ms

rewrite18.0ms

series714.0ms

simplify76.0ms

prune98.0ms

regimes61.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample303.0ms

Profiling