Details

analyze612.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	73×	body	80	invalid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5383	13

prune11.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* (+ x z) (/ (- z x) y)))
0.0b	(/ (- z x) y)
0.2b	(* (+ x z) (/ (- z x) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

2.0ms	(- y (* (+ x z) (/ (- z x) y)))
5.0ms	(/ (- z x) y)
14.0ms	(* (+ x z) (/ (- z x) y))

series30.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(- y (* (+ x z) (/ (- z x) y)))
7.0ms	(/ (- z x) y)
11.0ms	(* (+ x z) (/ (- z x) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4979	1101
1	4979	1101

prune110.0ms

Filtered

72 candidates to 101 candidates (-40.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x z) (/ (- z x) y))) (cbrt (* (+ x z) (/ (- z x) y))))
9.5b	(cbrt (* (+ x z) (/ (- z x) y)))
9.5b	(cbrt (* (+ x z) (/ (- z x) y)))
9.5b	(cbrt (* (+ x z) (/ (- z x) y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div`
55×	`frac-times`
35×	`associate-*l/`
30×	`flip3-+` `flip-+`
20×	`associate-*r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* (cbrt (* (+ x z) (/ (- z x) y))) (cbrt (* (+ x z) (/ (- z x) y))))
7.0ms	(cbrt (* (+ x z) (/ (- z x) y)))
7.0ms	(cbrt (* (+ x z) (/ (- z x) y)))
7.0ms	(cbrt (* (+ x z) (/ (- z x) y)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (* (+ x z) (/ (- z x) y))) (cbrt (* (+ x z) (/ (- z x) y))))
29.0ms	(cbrt (* (+ x z) (/ (- z x) y)))
31.0ms	(cbrt (* (+ x z) (/ (- z x) y)))
29.0ms	(cbrt (* (+ x z) (/ (- z x) y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5037	2284

prune145.0ms

Filtered

91 candidates to 120 candidates (-31.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0b

Counts

126 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x z))
5.6b	(cbrt (/ (- z x) y))
9.5b	(cbrt (* (+ x z) (/ (- z x) y)))
9.5b	(cbrt (* (+ x z) (/ (- z x) y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
14×	`add-cube-cbrt`
13×	`cbrt-div`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-*r/`
1×	`div-inv` `distribute-lft-out`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt (+ x z))
4.0ms	(cbrt (/ (- z x) y))
7.0ms	(cbrt (* (+ x z) (/ (- z x) y)))
10.0ms	(cbrt (* (+ x z) (/ (- z x) y)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ x z))
32.0ms	(cbrt (/ (- z x) y))
30.0ms	(cbrt (* (+ x z) (/ (- z x) y)))
29.0ms	(cbrt (* (+ x z) (/ (- z x) y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4944	984
1	4944	984

prune113.0ms

Filtered

71 candidates to 82 candidates (-15.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x z)) (cbrt (+ x z)))
0.5b	(cbrt (+ x z))
0.5b	(cbrt (+ x z))
0.5b	(cbrt (+ x z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ x z)) (cbrt (+ x z)))
5.0ms	(cbrt (+ x z))
3.0ms	(cbrt (+ x z))
3.0ms	(cbrt (+ x z))

series130.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (+ x z)) (cbrt (+ x z)))
31.0ms	(cbrt (+ x z))
30.0ms	(cbrt (+ x z))
30.0ms	(cbrt (+ x z))

simplify80.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4950	919
1	4950	919

prune85.0ms

Filtered

65 candidates to 107 candidates (-64.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	107	7	114

Merged error: 0b

Counts

114 → 7

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms

analyze604.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample663.0ms

Algorithm

intervals

Results

332.0ms	8000×	body	80	valid
115.0ms	2777×	body	80	invalid

Details

analyze612.0ms

sample23.0ms

simplify46.0ms

prune11.0ms

localize8.0ms

rewrite25.0ms

series30.0ms

simplify63.0ms

prune110.0ms

localize15.0ms

rewrite34.0ms

series130.0ms

simplify61.0ms

prune145.0ms

localize16.0ms

rewrite27.0ms

series121.0ms

simplify57.0ms

prune113.0ms

localize12.0ms

rewrite23.0ms

series130.0ms

simplify80.0ms

prune85.0ms

regimes173.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze604.0ms

sample663.0ms

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