Details

analyze916.0ms

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
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	19×	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

prune4.0ms

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: 1.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4988	1368
1	4988	1368

prune135.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.8b	(cbrt (/ (- z t) (- a t)))
3.8b	(cbrt (/ (- z t) (- a t)))
3.8b	(cbrt (/ (- z t) (- a t)))

rewrite65.0ms

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:

30.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
13.0ms	(cbrt (/ (- z t) (- a t)))
9.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
58.0ms	(cbrt (/ (- z t) (- a t)))
60.0ms	(cbrt (/ (- z t) (- a t)))
62.0ms	(cbrt (/ (- z t) (- a t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5056	2373

prune160.0ms

Filtered

108 candidates to 154 candidates (-42.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	154	8	162

Merged error: 0.0b

Counts

162 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
8.6b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
65×	`cbrt-prod`
54×	`associate-r`
50×	`times-frac`
35×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
23×	`associate-l`
21×	`distribute-lft-out--`
19×	`difference-of-squares`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
10×	`swap-sqr` `associate-/r/` `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 → 177

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
12.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
31.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a t))
29.0ms	(cbrt (- a t))
30.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
26.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify79.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4941	2362
1	4941	2362

prune208.0ms

Filtered

126 candidates to 189 candidates (-50.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	188	9	197

Merged error: 0b

Counts

197 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(pow (cbrt (- a t)) 2)
3.5b	(* (* (/ y (pow (cbrt (- a t)) 2)) (- z t)) (/ 1 (cbrt (- a t))))
8.1b	(* (/ y (pow (cbrt (- a t)) 2)) (- z t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-exp-log`
80×	`add-sqr-sqrt`
68×	`times-frac`
65×	`*-un-lft-identity`
47×	`add-cube-cbrt`
44×	`associate-l`
41×	`cbrt-prod`
40×	`prod-exp`
35×	`associate-r`
34×	`unpow-prod-down`
27×	`add-cbrt-cube`
25×	`div-exp`
12×	`pow1` `cbrt-unprod`
11×	`frac-times`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`flip3--` `associate-*l/` `flip--`
7×	`associate-*r/`
6×	`cbrt-undiv` `pow-to-exp` `pow-exp` `unswap-sqr`
5×	`rec-exp` `1-exp` `unpow2` `sqr-pow`
4×	`cbrt-div` `pow-prod-down` `add-log-exp`
3×	`pow-unpow`
2×	`sub-neg` `pow-pow` `pow1/3` `associate-/r/` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `distribute-lft-in` `un-div-inv`

Counts

4 → 194

Calls

4 calls:

3.0ms	(cbrt (- a t))
5.0ms	(pow (cbrt (- a t)) 2)
23.0ms	(* (* (/ y (pow (cbrt (- a t)) 2)) (- z t)) (/ 1 (cbrt (- a t))))
18.0ms	(* (/ y (pow (cbrt (- a t)) 2)) (- z t))

series135.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a t))
38.0ms	(pow (cbrt (- a t)) 2)
27.0ms	(* (* (/ y (pow (cbrt (- a t)) 2)) (- z t)) (/ 1 (cbrt (- a t))))
44.0ms	(* (/ y (pow (cbrt (- a t)) 2)) (- z t))

simplify72.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5421	2585

prune236.0ms

Filtered

137 candidates to 206 candidates (-50.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	1	4	5
Picked	1	0	1
Done	1	2	3
Total	208	7	215

Merged error: 0b

Counts

215 → 7

regimes626.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

analyze900.0ms

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
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample594.0ms

Algorithm

intervals

Results

298.0ms	7999×	body	80	valid
31.0ms	750×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze916.0ms

sample27.0ms

simplify5.0ms

prune4.0ms

localize8.0ms

rewrite28.0ms

series55.0ms

simplify65.0ms

prune135.0ms

localize15.0ms

rewrite65.0ms

series240.0ms

simplify69.0ms

prune160.0ms

localize12.0ms

rewrite57.0ms

series113.0ms

simplify79.0ms

prune208.0ms

localize15.0ms

rewrite61.0ms

series135.0ms

simplify72.0ms

prune236.0ms

regimes626.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze900.0ms

sample594.0ms

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