Details

analyze615.0ms

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

sample26.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	89×	body	80	invalid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5100	13

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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×	`flip3-+` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `distribute-lft-out`

Counts

3 → 92

Calls

3 calls:

4.0ms	(+ y (* (+ x z) (/ (- x z) y)))
5.0ms	(/ (- x z) y)
12.0ms	(* (+ x z) (/ (- x z) y))

series29.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ y (* (+ x z) (/ (- x z) y)))
6.0ms	(/ (- x z) y)
12.0ms	(* (+ x z) (/ (- x z) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5087	1084

prune129.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	92	11	103

Merged error: 0b

Counts

103 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
0.2b	(* (+ x z) (* (- x z) (/ 1 y)))
0.3b	(* (- x z) (/ 1 y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
21×	`add-sqr-sqrt`
20×	`frac-times`
17×	`*-un-lft-identity` `add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1` `associate-r/` `associate-l/`
9×	`associate-l`
8×	`flip3--` `flip3-+` `flip--` `flip-+`
7×	`cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `pow-prod-down` `un-div-inv`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`+-commutative` `sum-log` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

4.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
12.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
10.0ms	(* (- x z) (/ 1 y))

series31.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ y (* (+ x z) (* (- x z) (/ 1 y))))
11.0ms	(* (+ x z) (* (- x z) (/ 1 y)))
6.0ms	(* (- x z) (/ 1 y))

simplify40.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4986	1209
1	4986	1209

prune118.0ms

Filtered

68 candidates to 105 candidates (-54.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	105	11	116

Merged error: 0b

Counts

116 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x z) (/ (- x z) y))) (cbrt (* (+ x z) (/ (- x z) y))))
10.1b	(cbrt (* (+ x z) (/ (- x z) y)))
10.1b	(cbrt (* (+ x z) (/ (- x z) y)))
10.1b	(cbrt (* (+ x z) (/ (- x z) 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) (/ (- x z) y))) (cbrt (* (+ x z) (/ (- x z) y))))
8.0ms	(cbrt (* (+ x z) (/ (- x z) y)))
8.0ms	(cbrt (* (+ x z) (/ (- x z) y)))
8.0ms	(cbrt (* (+ x z) (/ (- x z) y)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (cbrt (* (+ x z) (/ (- x z) y))) (cbrt (* (+ x z) (/ (- x z) y))))
30.0ms	(cbrt (* (+ x z) (/ (- x z) y)))
30.0ms	(cbrt (* (+ x z) (/ (- x z) y)))
32.0ms	(cbrt (* (+ x z) (/ (- x z) y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4896	2271
1	4896	2271

prune151.0ms

Filtered

90 candidates to 120 candidates (-33.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	120	11	131

Merged error: 0b

Counts

131 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`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 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune74.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	85	11	96

Merged error: 0b

Counts

96 → 11

regimes341.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms

sample739.0ms

Algorithm

intervals

Results

355.0ms	8000×	body	80	valid
134.0ms	2954×	body	80	invalid

Details

analyze615.0ms

sample26.0ms

simplify66.0ms

prune10.0ms

localize13.0ms

rewrite24.0ms

series29.0ms

simplify51.0ms

prune129.0ms

localize10.0ms

rewrite30.0ms

series31.0ms

simplify40.0ms

prune118.0ms

localize13.0ms

rewrite34.0ms

series134.0ms

simplify65.0ms

prune151.0ms

localize13.0ms

rewrite11.0ms

series90.0ms

simplify45.0ms

prune74.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample739.0ms

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