Details

analyze645.0ms

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample21.0ms

Algorithm

intervals

Results

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

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	9
1	67	9

prune14.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z x) t)))
0.0b	(/ (- z x) t)
6.3b	(* y (/ (- z x) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-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`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z x) t)))
5.0ms	(/ (- z x) t)
9.0ms	(* y (/ (- z x) t))

series28.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (* y (/ (- z x) t)))
6.0ms	(/ (- z x) t)
12.0ms	(* y (/ (- z x) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5524	890

prune110.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	88	10	98

Merged error: 0.0b

Counts

98 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (- z x))
0.7b	(cbrt (- z x))
0.7b	(cbrt (- z x))
1.2b	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`cbrt-div`
9×	`pow1`
8×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
5×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 72

Calls

4 calls:

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

series128.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z x))
26.0ms	(cbrt (- z x))
27.0ms	(cbrt (- z x))
50.0ms	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))

simplify33.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5251	913

prune115.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	84	10	94

Merged error: 0b

Counts

94 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

1.2b	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
6.0b	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
6.0b	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
6.0b	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-div`
24×	`associate-*r/`
18×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 69

Calls

4 calls:

16.0ms	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
13.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
13.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
13.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t)))))
68.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
68.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))
67.0ms	(cbrt (* y (* (cbrt (- z x)) (/ (cbrt (- z x)) (* (cbrt t) (cbrt t))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5080	1567

prune165.0ms

Filtered

72 candidates to 81 candidates (-12.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	81	10	91

Merged error: 0b

Counts

91 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ x (* y (/ 1 (/ t (- z x)))))
0.4b	(/ 1 (/ t (- z x)))
6.3b	(* y (/ 1 (/ t (- z x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 253

Calls

4 calls:

5.0ms	(/ t (- z x))
2.0ms	(+ x (* y (/ 1 (/ t (- z x)))))
8.0ms	(/ 1 (/ t (- z x)))
21.0ms	(* y (/ 1 (/ t (- z x))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ t (- z x))
15.0ms	(+ x (* y (/ 1 (/ t (- z x)))))
7.0ms	(/ 1 (/ t (- z x)))
12.0ms	(* y (/ 1 (/ t (- z x))))

simplify63.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4965	2815
1	4965	2815

prune206.0ms

Filtered

168 candidates to 265 candidates (-57.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	263	2	265
Fresh	3	4	7
Picked	0	1	1
Done	2	0	2
Total	268	7	275

Merged error: 0b

Counts

275 → 7

regimes341.0ms

Accuracy

38% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch3.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	51
1	25	51

end0.0ms

analyze609.0ms

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample554.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
68.0ms	2133×	body	80	invalid

Details

analyze645.0ms

sample21.0ms

simplify5.0ms

prune14.0ms

localize7.0ms

rewrite20.0ms

series28.0ms

simplify51.0ms

prune110.0ms

localize17.0ms

rewrite25.0ms

series128.0ms

simplify33.0ms

prune115.0ms

localize24.0ms

rewrite60.0ms

series254.0ms

simplify67.0ms

prune165.0ms

localize8.0ms

rewrite50.0ms

series41.0ms

simplify63.0ms

prune206.0ms

regimes341.0ms

bsearch3.0ms

simplify1.0ms

end0.0ms

analyze609.0ms

sample554.0ms

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