Details

analyze942.0ms

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
2.3%	97.4%	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
33.2%	66.5%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	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

prune13.0ms

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.7b	(* y (/ (- z t) (- z a)))

rewrite31.0ms

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) (- z a))))
7.0ms	(/ (- z t) (- z a))
17.0ms	(* y (/ (- z t) (- z a)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4988	1368
1	4988	1368

prune141.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series103.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z a))
25.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
27.0ms	(cbrt (- z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5215	588

prune113.0ms

Filtered

60 candidates to 72 candidates (-20.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
0.5b	(cbrt (cbrt (- z t)))
0.5b	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

47×	`cbrt-prod`
38×	`cbrt-div`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`flip3--` `flip--`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3`
8×	`frac-times` `associate-r` `associate-l` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
4.0ms	(cbrt (cbrt (- z t)))
8.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
29.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
29.0ms	(cbrt (cbrt (- z t)))
28.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4837	1263
1	4837	1263

prune151.0ms

Filtered

75 candidates to 118 candidates (-57.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	118	7	125

Merged error: 0.0b

Counts

125 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.7b	(* y (* (- z t) (/ 1 (- z a))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
7.0ms	(/ 1 (- z a))
12.0ms	(* (- z t) (/ 1 (- z a)))
12.0ms	(* y (* (- z t) (/ 1 (- z a))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
4.0ms	(/ 1 (- z a))
8.0ms	(* (- z t) (/ 1 (- z a)))
15.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify45.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5045	1286

prune117.0ms

Filtered

88 candidates to 142 candidates (-61.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Merged error: 0.0b

Counts

149 → 7

regimes554.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	45
1	25	45

end0.0ms

analyze922.0ms

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
2.3%	97.4%	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
33.2%	66.5%	0.2%	14

sample591.0ms

Algorithm

intervals

Results

296.0ms	8000×	body	80	valid
28.0ms	725×	body	80	invalid

Details

analyze942.0ms

sample23.0ms

simplify5.0ms

prune13.0ms

localize9.0ms

rewrite31.0ms

series49.0ms

simplify67.0ms

prune141.0ms

localize17.0ms

rewrite13.0ms

series103.0ms

simplify41.0ms

prune113.0ms

localize25.0ms

rewrite29.0ms

series112.0ms

simplify58.0ms

prune151.0ms

localize10.0ms

rewrite39.0ms

series53.0ms

simplify45.0ms

prune117.0ms

regimes554.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze922.0ms

sample591.0ms

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