Details

analyze520.0ms

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
0%	99.8%	0.2%	7
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify166.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	5487	9

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.0b	(* x (/ (- y z) (- t z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- y z) (- t z))
12.0ms	(* x (/ (- y z) (- t z)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (- y z) (- t z))
16.0ms	(* x (/ (- y z) (- t z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	1163

prune105.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) (- y z))
0.3b	(/ 1 (/ (- t z) (- y z)))
2.0b	(* x (/ 1 (/ (- t z) (- y z))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 327

Calls

3 calls:

7.0ms	(/ (- t z) (- y z))
11.0ms	(/ 1 (/ (- t z) (- y z)))
27.0ms	(* x (/ 1 (/ (- t z) (- y z))))

series50.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- t z) (- y z))
16.0ms	(/ 1 (/ (- t z) (- y z)))
25.0ms	(* x (/ 1 (/ (- t z) (- y z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5044	4378

prune253.0ms

Filtered

193 candidates to 336 candidates (-74.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	335	1	336
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	337	7	344

Merged error: 0.0b

Counts

344 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
3.0b	(cbrt (/ (- y z) (- t z)))
3.0b	(cbrt (/ (- y z) (- t z)))
3.0b	(cbrt (/ (- y z) (- t z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

22.0ms	(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
7.0ms	(cbrt (/ (- y z) (- t z)))
7.0ms	(cbrt (/ (- y z) (- t z)))
7.0ms	(cbrt (/ (- y z) (- t z)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* x (* (cbrt (/ (- y z) (- t z))) (cbrt (/ (- y z) (- t z)))))
56.0ms	(cbrt (/ (- y z) (- t z)))
58.0ms	(cbrt (/ (- y z) (- t z)))
55.0ms	(cbrt (/ (- y z) (- t z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5655	2374

prune161.0ms

Filtered

108 candidates to 154 candidates (-42.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Merged error: 0.0b

Counts

161 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b	(* x (/ (- y z) (- t z)))
4.0b	(cbrt (* x (/ (- y z) (- t z))))
4.0b	(cbrt (* x (/ (- y z) (- t z))))
4.0b	(cbrt (* x (/ (- y z) (- t z))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

12.0ms	(* x (/ (- y z) (- t z)))
8.0ms	(cbrt (* x (/ (- y z) (- t z))))
9.0ms	(cbrt (* x (/ (- y z) (- t z))))
8.0ms	(cbrt (* x (/ (- y z) (- t z))))

series173.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x (/ (- y z) (- t z)))
52.0ms	(cbrt (* x (/ (- y z) (- t z))))
53.0ms	(cbrt (* x (/ (- y z) (- t z))))
52.0ms	(cbrt (* x (/ (- y z) (- t z))))

simplify33.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5081	929

prune83.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

regimes354.0ms

Accuracy

-1.1% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch31.0ms

Steps

Iters	Range		Point
10	4.174679905715997e-290	6.787967249749688e-278	1.5088456049136073e-288
5	-1.3699275112397006e-39	-6.277557181734727e-40	-9.586446773513064e-40

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	33
1	37	33

end0.0ms

sample492.0ms

Algorithm

intervals

Results

259.0ms	8000×	body	80	valid
19.0ms	621×	body	80	invalid

Details

analyze520.0ms

sample17.0ms

simplify166.0ms

prune15.0ms

localize6.0ms

rewrite24.0ms

series25.0ms

simplify51.0ms

prune105.0ms

localize10.0ms

rewrite69.0ms

series50.0ms

simplify58.0ms

prune253.0ms

localize10.0ms

rewrite48.0ms

series226.0ms

simplify72.0ms

prune161.0ms

localize11.0ms

rewrite40.0ms

series173.0ms

simplify33.0ms

prune83.0ms

regimes354.0ms

bsearch31.0ms

simplify1.0ms

end0.0ms

sample492.0ms

Profiling