Details

analyze343.0ms

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
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify339.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (336.0ms)

Iter	Nodes	Cost
0	5520	7

prune2.0ms

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: 13.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
12.9b	(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 y z))
7.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

series21.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(*.f64 x (-.f64 y z))
10.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	384
1	4968	384

prune42.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	45	8	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 y z))
4.0b	(/.f64 x (/.f64 y (-.f64 y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 139

Calls

2 calls:

6.0ms	(/.f64 y (-.f64 y z))
10.0ms	(/.f64 x (/.f64 y (-.f64 y z)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 y (-.f64 y z))
10.0ms	(/.f64 x (/.f64 y (-.f64 y z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4991	1832
1	4991	1832

prune66.0ms

Filtered

108 candidates to 145 candidates (-34.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Merged error: 0b

Counts

153 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 x (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 y z)))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

331×	`times-frac_binary64`
222×	`add-sqr-sqrt_binary64`
186×	`*-un-lft-identity_binary64`
179×	`cbrt-prod_binary64`
167×	`associate-r_binary64`
150×	`add-cube-cbrt_binary64`
73×	`add-exp-log_binary64`
39×	`add-cbrt-cube_binary64`
27×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`unswap-sqr_binary64`
7×	`associate-/r/_binary64`
6×	`cbrt-div_binary64` `pow1_binary64`
5×	`associate-l_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 259

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
63.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 x (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 y z)))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
15.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 x (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 y z)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5052	6003

prune140.0ms

Filtered

219 candidates to 271 candidates (-23.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	270	1	271
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	271	8	279

Merged error: 0b

Counts

279 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) y)
4.3b	(*.f64 x (/.f64 (-.f64 y z) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `-commutative_binary64`

Counts

2 → 76

Calls

2 calls:

6.0ms	(/.f64 (-.f64 y z) y)
10.0ms	(*.f64 x (/.f64 (-.f64 y z) y))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (-.f64 y z) y)
10.0ms	(*.f64 x (/.f64 (-.f64 y z) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5181	705

prune24.0ms

Filtered

55 candidates to 82 candidates (-49.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Merged error: 0b

Counts

90 → 8

regimes128.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	25
1	23	25

end0.0ms

sample406.0ms

Algorithm

intervals

Results

208.0ms	8000×	body	80	valid
18.0ms	736×	body	80	invalid

Details

analyze343.0ms

sample15.0ms

simplify339.0ms

prune2.0ms

localize5.0ms

rewrite15.0ms

series21.0ms

simplify51.0ms

prune42.0ms

localize7.0ms

rewrite23.0ms

series16.0ms

simplify48.0ms

prune66.0ms

localize12.0ms

rewrite87.0ms

series64.0ms

simplify51.0ms

prune140.0ms

localize5.0ms

rewrite19.0ms

series15.0ms

simplify48.0ms

prune24.0ms

regimes128.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample406.0ms

Profiling