Details

analyze942.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

sample49.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
11.0ms	159×	body	80	invalid

simplify454.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5645	29

prune9.0ms

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: 12.8b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

3.6b	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r))
4.6b	(.f64 (.f64 (*.f64 w w) r) r)
5.7b	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1.0 v))
11.5b	(.f64 (.f64 w w) r)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
57×	`cbrt-unprod_binary64` `prod-exp_binary64`
50×	`pow1_binary64`
33×	`pow-prod-down_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
5×	`associate-/r*_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 119

Calls

4 calls:

14.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r))
8.0ms	(.f64 (.f64 (*.f64 w w) r) r)
19.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1.0 v))
9.0ms	(.f64 (.f64 w w) r)

series77.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r))
7.0ms	(.f64 (.f64 (*.f64 w w) r) r)
26.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1.0 v))
14.0ms	(.f64 (.f64 w w) r)

simplify38.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5242	1907

prune149.0ms

Filtered

63 candidates to 131 candidates (-107.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	10	132

Merged error: 4.1b

Counts

132 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2.0 (*.f64 r r))
0.4b	(.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (*.f64 w r)))
3.6b	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r))))
5.7b	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r)))) (-.f64 1.0 v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`pow1_binary64`
18×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64`
8×	`times-frac_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `swap-sqr_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 105

Calls

4 calls:

7.0ms	(/.f64 2.0 (*.f64 r r))
4.0ms	(.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (*.f64 w r)))
10.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r))))
14.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r)))) (-.f64 1.0 v))

series55.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 2.0 (*.f64 r r))
5.0ms	(.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (*.f64 w r)))
17.0ms	(.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r))))
29.0ms	(/.f64 (.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (.f64 (fabs.f64 (.f64 w r)) (fabs.f64 (.f64 w r)))) (-.f64 1.0 v))

simplify33.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5347	1478

prune177.0ms

Filtered

71 candidates to 117 candidates (-64.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	110	7	117
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	115	12	127

Merged error: 0.1b

Counts

127 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
0.4b	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
11.4b	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
11.4b	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`pow-unpow_binary64` `add-exp-log_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `sqrt-div_binary64` `associate-*l/_binary64`

Counts

4 → 58

Calls

4 calls:

2.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
2.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
9.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
9.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
5.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
34.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))
38.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (-.f64 1.0 v)) (pow.f64 (fabs.f64 (.f64 w r)) 2)))

simplify56.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4977	976
1	4977	976

prune150.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	69	13	82

Merged error: 0.1b

Counts

82 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2))
0.4b	(/.f64 2.0 (*.f64 r r))
0.4b	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
5.2b	(/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

167×	`times-frac_binary64`
117×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
67×	`add-cube-cbrt_binary64`
53×	`associate-/r*_binary64`
51×	`unpow-prod-down_binary64`
39×	`add-exp-log_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
23×	`add-cbrt-cube_binary64`
19×	`div-exp_binary64`
17×	`unpow2_binary64` `sqr-pow_binary64`
9×	`cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`pow1_binary64` `prod-exp_binary64` `div-inv_binary64`
4×	`pow-to-exp_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`

Counts

4 → 223

Calls

4 calls:

8.0ms	(/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2))
5.0ms	(/.f64 2.0 (*.f64 r r))
2.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
16.0ms	(/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2))
4.0ms	(/.f64 2.0 (*.f64 r r))
5.0ms	(pow.f64 (fabs.f64 (*.f64 w r)) 2)
31.0ms	(/.f64 (.f64 0.125 (-.f64 3.0 (.f64 2.0 v))) (/.f64 (-.f64 1.0 v) (pow.f64 (fabs.f64 (*.f64 w r)) 2)))

simplify64.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4967	3958
1	4967	3958

prune276.0ms

Filtered

138 candidates to 235 candidates (-70.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	229	6	235
Fresh	6	5	11
Picked	1	0	1
Done	1	0	1
Total	237	11	248

Merged error: 0.0b

Counts

248 → 11

regimes348.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	30
1	100	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

556.0ms	8000×	body	80	valid
326.0ms	4862×	body	80	invalid

Details

analyze942.0ms

sample49.0ms

simplify454.0ms

prune9.0ms

localize26.0ms

rewrite56.0ms

series77.0ms

simplify38.0ms

prune149.0ms

localize18.0ms

rewrite38.0ms

series55.0ms

simplify33.0ms

prune177.0ms

localize21.0ms

rewrite24.0ms

series82.0ms

simplify56.0ms

prune150.0ms

localize20.0ms

rewrite42.0ms

series60.0ms

simplify64.0ms

prune276.0ms

regimes348.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling