Details

analyze457.0ms

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify201.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	5015	16

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: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
8.1b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

13.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
88.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4997	1078
1	4997	1078

prune59.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Merged error: 0b

Counts

68 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
0.6b	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
8.1b	(/.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (-.f64 y t) (cbrt.f64 (-.f64 y z)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

178×	`cbrt-div_binary64`
140×	`frac-times_binary64`
116×	`flip3--_binary64` `flip--_binary64`
80×	`associate-/r/_binary64`
46×	`associate-r/_binary64` `associate-l/_binary64`
38×	`cbrt-prod_binary64`
36×	`add-sqr-sqrt_binary64`
34×	`*-un-lft-identity_binary64`
24×	`add-exp-log_binary64`
16×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
6×	`difference-of-squares_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`associate-/r_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow2_binary64` `-commutative_binary64`

Counts

4 → 193

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))
11.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
29.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (-.f64 y t) (cbrt.f64 (-.f64 y z)))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt.f64 (-.f64 y z))
117.0ms	(cbrt.f64 (-.f64 y z))
131.0ms	(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z)))
90.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (-.f64 y t) (cbrt.f64 (-.f64 y z)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5601	5579

prune176.0ms

Filtered

143 candidates to 205 candidates (-43.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	205	6	211

Merged error: 0b

Counts

211 → 6

localize8.0ms

Local error

Found 1 expressions with local error:

2.9b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

195×	`times-frac_binary64`
157×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
77×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
21×	`associate-/l*_binary64`
14×	`associate-/r/_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

1 → 148

Calls

1 calls:

12.0ms

(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

simplify111.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5308	4256

prune86.0ms

Filtered

99 candidates to 151 candidates (-52.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	152	5	157

Merged error: 0b

Counts

157 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.2b	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
8.0b	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac_binary64`
329×	`add-sqr-sqrt_binary64`
318×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
111×	`associate-r_binary64`
80×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
31×	`add-exp-log_binary64`
28×	`associate-/r/_binary64`
24×	`associate-/l*_binary64`
19×	`add-cbrt-cube_binary64`
14×	`flip3--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
10×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64`
5×	`prod-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 327

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 y z))
13.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
36.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

series172.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 1 (-.f64 y z))
58.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
92.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

simplify143.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5211	7069

prune194.0ms

Filtered

187 candidates to 336 candidates (-79.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	336	5	341

Merged error: 0b

Counts

341 → 5

regimes80.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

end0.0ms

sample489.0ms

Algorithm

intervals

Results

269.0ms	8000×	body	80	valid
14.0ms	364×	body	80	invalid

Details

analyze457.0ms

sample17.0ms

simplify201.0ms

prune1.0ms

localize8.0ms

rewrite24.0ms

series110.0ms

simplify70.0ms

prune59.0ms

localize12.0ms

rewrite63.0ms

series461.0ms

simplify94.0ms

prune176.0ms

localize8.0ms

rewrite25.0ms

series77.0ms

simplify111.0ms

prune86.0ms

localize9.0ms

rewrite77.0ms

series172.0ms

simplify143.0ms

prune194.0ms

regimes80.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample489.0ms

Profiling