Details

analyze882.0ms

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	85	11
1	85	11

prune12.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
10.1b	(* (- y z) (/ t (- a z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
6.0ms	(/ t (- a z))
13.0ms	(* (- y z) (/ t (- a z)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* (- y z) (/ t (- a z))))
8.0ms	(/ t (- a z))
16.0ms	(* (- y z) (/ t (- a z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5122	1060

prune113.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(* (cbrt (- a z)) (cbrt (- a z)))
3.8b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
31×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `difference-of-squares` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

3.0ms	(cbrt (- a z))
5.0ms	(cbrt (- a z))
11.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
29.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- a z))
30.0ms	(cbrt (- a z))
31.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
24.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify72.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4953	2141
1	4953	2141

prune183.0ms

Filtered

121 candidates to 175 candidates (-44.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	173	8	181

Merged error: 0.0b

Counts

181 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.3b	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`associate-l`
65×	`times-frac`
46×	`add-exp-log`
40×	`unpow-prod-down`
36×	`add-cube-cbrt`
34×	`cbrt-prod`
20×	`prod-exp`
18×	`distribute-lft-out--` `difference-of-squares`
17×	`add-cbrt-cube`
13×	`div-exp`
10×	`cbrt-unprod`
9×	`pow1`
5×	`cbrt-undiv` `unpow2` `sqr-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `pow1/3` `pow-prod-down` `associate-*l/` `pow-exp`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 134

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
32.0ms	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
23.0ms	(cbrt t)
24.0ms	(cbrt t)
106.0ms	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4964	2500
1	4964	2500

prune247.0ms

Filtered

99 candidates to 146 candidates (-47.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	146	8	154

Merged error: 0b

Counts

154 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.3b	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`associate-l`
65×	`times-frac`
46×	`add-exp-log`
40×	`unpow-prod-down`
36×	`add-cube-cbrt`
34×	`cbrt-prod`
20×	`prod-exp`
18×	`distribute-lft-out--` `difference-of-squares`
17×	`add-cbrt-cube`
13×	`div-exp`
10×	`cbrt-unprod`
9×	`pow1`
5×	`cbrt-undiv` `unpow2` `sqr-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `pow1/3` `pow-prod-down` `associate-*l/` `pow-exp`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 134

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
35.0ms	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
23.0ms	(cbrt t)
23.0ms	(cbrt t)
109.0ms	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4964	2500
1	4964	2500

prune230.0ms

Filtered

99 candidates to 146 candidates (-47.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	146	8	154

Merged error: 0b

Counts

154 → 8

regimes433.0ms

Accuracy

18.1% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.7b

bsearch2.2s

Steps

Iters	Range		Point
7	3.4178407175634124e+75	8.432374121643514e+77	3.4738956651351627e+75
9	-2.852372298859929e+33	-3.4129322221452484e+27	-3.460612792019781e+27

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	87
1	50	87

end0.0ms

analyze872.0ms

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample562.0ms

Algorithm

intervals

Results

287.0ms	7999×	body	80	valid
29.0ms	704×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze882.0ms

sample23.0ms

simplify5.0ms

prune12.0ms

localize11.0ms

rewrite25.0ms

series52.0ms

simplify45.0ms

prune113.0ms

localize11.0ms

rewrite55.0ms

series112.0ms

simplify72.0ms

prune183.0ms

localize23.0ms

rewrite43.0ms

series176.0ms

simplify57.0ms

prune247.0ms

localize26.0ms

rewrite46.0ms

series180.0ms

simplify57.0ms

prune230.0ms

regimes433.0ms

bsearch2.2s

simplify2.0ms

end0.0ms

analyze872.0ms

sample562.0ms

Profiling