Details

analyze616.0ms

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	58×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune10.0ms

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	(+ (* (/ x y) (- z t)) t)
4.7b	(* (/ x y) (- z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`distribute-rgt-in` `frac-times` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* (/ x y) (- z t)) t)
12.0ms	(* (/ x y) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4963	583
1	4963	583

prune86.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
1.3b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
3.6b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

146×	`cbrt-div`
102×	`frac-times`
73×	`flip3--` `flip--`
52×	`associate-*r/`
45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`associate-*l/`
38×	`cbrt-prod`
36×	`add-exp-log`
25×	`pow1`
22×	`add-cube-cbrt` `associate-l`
21×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`associate-r`
11×	`pow-prod-down`
10×	`times-frac` `swap-sqr`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 205

Calls

4 calls:

3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
22.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
14.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
33.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
13.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
30.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify87.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4997	3798
1	4997	3798

prune213.0ms

Filtered

128 candidates to 217 candidates (-69.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	216	8	224

Merged error: 0.0b

Counts

224 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ t (* (/ x y) (- z t)))) (cbrt (+ t (* (/ x y) (- z t)))))
4.7b	(* (/ x y) (- z t))
4.7b	(* (/ x y) (- z t))
4.7b	(* (/ x y) (- z t))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
45×	`associate-l`
42×	`*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`times-frac`
21×	`add-exp-log` `associate-r`
19×	`add-cbrt-cube`
17×	`pow1`
16×	`cbrt-prod`
12×	`cbrt-div`
10×	`frac-times` `unswap-sqr`
8×	`associate-*r/`
7×	`prod-exp` `cbrt-unprod`
6×	`sub-neg` `flip3--` `flip3-+` `pow1/3` `swap-sqr` `flip--` `flip-+`
5×	`pow-prod-down` `associate-*l/`
4×	`*-commutative` `add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 168

Calls

4 calls:

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (+ t (* (/ x y) (- z t)))) (cbrt (+ t (* (/ x y) (- z t)))))
12.0ms	(* (/ x y) (- z t))
12.0ms	(* (/ x y) (- z t))
12.0ms	(* (/ x y) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5152	2276

prune181.0ms

Filtered

128 candidates to 180 candidates (-40.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	180	8	188

Merged error: 0b

Counts

188 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (/ x y) (- z t))
4.7b	(* (/ x y) (- z t))
4.7b	(* (/ x y) (- z t))
4.7b	(* (/ x y) (- z t))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
52×	`associate-l`
44×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-cube-cbrt`
24×	`add-exp-log` `add-cbrt-cube`
20×	`associate-r`
12×	`pow1`
8×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 160

Calls

4 calls:

11.0ms	(* (/ x y) (- z t))
9.0ms	(* (/ x y) (- z t))
9.0ms	(* (/ x y) (- z t))
9.0ms	(* (/ x y) (- z t))

series48.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5004	1552

prune218.0ms

Filtered

132 candidates to 172 candidates (-30.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	172	8	180

Merged error: 0b

Counts

180 → 8

regimes359.0ms

Accuracy

0% (2.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample536.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
62.0ms	2034×	body	80	invalid

Details

analyze616.0ms

sample24.0ms

simplify33.0ms

prune10.0ms

localize6.0ms

rewrite18.0ms

series23.0ms

simplify44.0ms

prune86.0ms

localize10.0ms

rewrite60.0ms

series102.0ms

simplify87.0ms

prune213.0ms

localize11.0ms

rewrite44.0ms

series155.0ms

simplify47.0ms

prune181.0ms

localize19.0ms

rewrite42.0ms

series48.0ms

simplify47.0ms

prune218.0ms

regimes359.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample536.0ms

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