Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

sample43.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
9.0ms	105×	body	80	invalid
3.0ms	73×	body	80	nan

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4961	13
1	4961	13

prune8.0ms

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: 2.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1.0 (*.f64 10.0 k))
0.0b	(+.f64 (+.f64 1.0 (.f64 10.0 k)) (.f64 k k))
0.0b	(*.f64 a (pow.f64 k m))
2.4b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1.0 (.f64 10.0 k)) (*.f64 k k)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`prod-exp_binary64`
4×	`pow1_binary64` `unpow-prod-down_binary64` `div-exp_binary64` `sum-log_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `unswap-sqr_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `+-commutative_binary64` `pow-exp_binary64`
1×	`associate-+l+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

3.0ms	(+.f64 1.0 (*.f64 10.0 k))
6.0ms	(+.f64 (+.f64 1.0 (.f64 10.0 k)) (.f64 k k))
6.0ms	(*.f64 a (pow.f64 k m))
15.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1.0 (.f64 10.0 k)) (*.f64 k k)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 1.0 (*.f64 10.0 k))
3.0ms	(+.f64 (+.f64 1.0 (.f64 10.0 k)) (.f64 k k))
16.0ms	(*.f64 a (pow.f64 k m))
40.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1.0 (.f64 10.0 k)) (*.f64 k k)))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4953	918
1	4953	918

prune96.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 2.4b

Counts

87 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1.0 (*.f64 k (+.f64 k 10.0)))
0.0b	(/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10.0))
2.4b	(/.f64 a (/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 k m)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac_binary64`
106×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
104×	`add-cube-cbrt_binary64`
48×	`unpow-prod-down_binary64`
32×	`associate-/r*_binary64`
21×	`add-exp-log_binary64`
16×	`sqr-pow_binary64`
13×	`add-cbrt-cube_binary64`
10×	`div-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`associate-r_binary64` `cbrt-undiv_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-+r+_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 203

Calls

4 calls:

4.0ms	(+.f64 1.0 (*.f64 k (+.f64 k 10.0)))
7.0ms	(/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10.0))
13.0ms	(/.f64 a (/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 k m)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 1.0 (*.f64 k (+.f64 k 10.0)))
23.0ms	(/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10.0))
39.0ms	(/.f64 a (/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 k m)))

simplify55.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5459	4296

prune248.0ms

Filtered

164 candidates to 215 candidates (-31.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	214	6	220

Merged error: 2.3b

Counts

220 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
2.4b	(/.f64 a (/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 (cbrt.f64 k) m)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac_binary64`
122×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
72×	`unpow-prod-down_binary64`
45×	`cbrt-prod_binary64`
34×	`associate-/r*_binary64`
14×	`add-exp-log_binary64`
12×	`sqr-pow_binary64`
9×	`add-cbrt-cube_binary64`
7×	`div-exp_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`cbrt-undiv_binary64` `pow1/3_binary64` `associate-/l*_binary64`
1×	`pow-to-exp_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-exp_binary64`

Counts

4 → 189

Calls

4 calls:

1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
12.0ms	(/.f64 a (/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 (cbrt.f64 k) m)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 k)
18.0ms	(cbrt.f64 k)
18.0ms	(cbrt.f64 k)
66.0ms	(/.f64 a (/.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))) (pow.f64 (cbrt.f64 k) m)))

simplify76.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	4407
1	4953	4407

prune257.0ms

Filtered

167 candidates to 201 candidates (-20.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	201	6	207

Merged error: 2.3b

Counts

207 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
0.1b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))))
12.0b	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))
12.0b	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt_binary64`
110×	`times-frac_binary64`
64×	`sqrt-prod_binary64`
61×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
48×	`associate-r_binary64`
30×	`add-exp-log_binary64`
24×	`associate-l_binary64` `unpow-prod-down_binary64`
21×	`unswap-sqr_binary64`
18×	`add-cbrt-cube_binary64`
12×	`sqr-pow_binary64`
11×	`div-exp_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64` `prod-exp_binary64`
6×	`associate-/r*_binary64` `associate-/r/_binary64`
5×	`flip3-+_binary64` `cbrt-undiv_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 188

Calls

4 calls:

6.0ms	(/.f64 a (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
33.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))))
3.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))
3.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 a (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0)))))
40.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1.0 (.f64 k (+.f64 k 10.0))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))))
5.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))
5.0ms	(sqrt.f64 (+.f64 1.0 (*.f64 k (+.f64 k 10.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4964	4404
1	4964	4404

prune227.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	200	6	206

Merged error: 2.3b

Counts

206 → 6

regimes172.0ms

Accuracy

0% (0.0b remaining)

Error of 1.9b against oracle of 1.8b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

525.0ms	8000×	body	80	valid
255.0ms	3200×	body	80	invalid
86.0ms	1992×	body	80	nan

Details

analyze1.0s

sample43.0ms

simplify103.0ms

prune8.0ms

localize11.0ms

rewrite32.0ms

series64.0ms

simplify58.0ms

prune96.0ms

localize9.0ms

rewrite39.0ms

series71.0ms

simplify55.0ms

prune248.0ms

localize15.0ms

rewrite27.0ms

series122.0ms

simplify76.0ms

prune257.0ms

localize12.0ms

rewrite56.0ms

series71.0ms

simplify80.0ms

prune227.0ms

regimes172.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling