Details

analyze898.0ms

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

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

localize8.0ms

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)))

rewrite23.0ms

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))))
5.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* (- y z) (/ t (- a z))))
7.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5122	1060

prune122.0ms

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

localize12.0ms

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))))

rewrite54.0ms

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))
3.0ms	(cbrt (- a z))
13.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
28.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series170.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
28.0ms	(cbrt (- a z))
93.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
22.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify73.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4953	2141
1	4953	2141

prune186.0ms

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

localize21.0ms

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)))

rewrite42.0ms

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)
30.0ms	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(cbrt t)
98.0ms	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4964	2500
1	4964	2500

prune251.0ms

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)))

rewrite45.0ms

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)
34.0ms	(* (/ (- y z) (pow (cbrt (- a z)) 2)) (* (/ (cbrt t) (cbrt (pow (cbrt (- a z)) 2))) (cbrt t)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
24.0ms	(cbrt t)
21.0ms	(cbrt t)
104.0ms	(* (/ (- 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

prune228.0ms

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

regimes429.0ms

Accuracy

18.1% (1.3b remaining)

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

bsearch2.3s

Steps

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	87
1	50	87

end0.0ms

analyze888.0ms

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

sample579.0ms

Algorithm

intervals

Results

291.0ms	7999×	body	80	valid
27.0ms	704×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze898.0ms

sample23.0ms

simplify5.0ms

prune15.0ms

localize8.0ms

rewrite23.0ms

series50.0ms

simplify43.0ms

prune122.0ms

localize12.0ms

rewrite54.0ms

series170.0ms

simplify73.0ms

prune186.0ms

localize21.0ms

rewrite42.0ms

series162.0ms

simplify59.0ms

prune251.0ms

localize26.0ms

rewrite45.0ms

series171.0ms

simplify57.0ms

prune228.0ms

regimes429.0ms

bsearch2.3s

simplify1.0ms

end0.0ms

analyze888.0ms

sample579.0ms

Profiling