Details

analyze295.0ms

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) y)
8.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4979	345
1	4979	345

prune45.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

16.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
8.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
38.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
40.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
38.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4952	1968
1	4952	1968

prune211.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.6b	(cbrt (pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 6))
1.2b	(pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 6)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 71

Calls

4 calls:

7.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
11.0ms	(cbrt (pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 6))
9.0ms	(pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 6)

series233.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
40.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
61.0ms	(cbrt (pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 6))
94.0ms	(pow (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) 6)

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4949	1570
1	4949	1570

prune277.0ms

Filtered

66 candidates to 83 candidates (-25.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0.0b

Counts

86 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b	(* x (* x (* z z)))
3.0b	(- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z))))
7.2b	(* x (* z z))
24.2b	(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* x (* x (* z z)))
14.0ms	(- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z))))
5.0ms	(* x (* z z))
23.0ms	(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (* x (* z z)))
25.0ms	(- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z))))
7.0ms	(* x (* z z))
52.0ms	(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

simplify32.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5506	1698

prune104.0ms

Filtered

64 candidates to 95 candidates (-48.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample403.0ms

Algorithm

intervals

Results

216.0ms	8000×	body	80	valid
18.0ms	697×	body	80	invalid

Details

analyze295.0ms

sample15.0ms

simplify12.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series12.0ms

simplify49.0ms

prune45.0ms

localize11.0ms

rewrite39.0ms

series177.0ms

simplify54.0ms

prune211.0ms

localize17.0ms

rewrite36.0ms

series233.0ms

simplify46.0ms

prune277.0ms

localize16.0ms

rewrite51.0ms

series90.0ms

simplify32.0ms

prune104.0ms

regimes187.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample403.0ms

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