Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	298×	body	80	valid
10.0ms	276×	body	80	nan

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

7.0ms	(+ (- 1.0 z) (log z))
5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series315.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(+ (- 1.0 z) (log z))
66.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
79.0ms	(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune146.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `add-log-exp`
9×	`cbrt-prod`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
4×	`sum-log` `log-pow` `distribute-lft-out--`
3×	`associate-+l+` `associate-l`
2×	`flip3-+` `pow1/3` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

11.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
13.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series896.0ms

Counts

4 → 12

Calls

4 calls:

349.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
182.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
186.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	592
2	5001	543

prune256.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 0.0b

Counts

95 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (+ (* 2 (log (pow z 1/3))) 1.0) z) (log (cbrt z)))
0.2b	(* y (+ (- (+ (* 2 (log (pow z 1/3))) 1.0) z) (log (cbrt z))))
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt`
10×	`add-log-exp`
8×	`distribute-lft-out`
7×	`add-exp-log` `associate-r`
6×	`cbrt-prod` `associate-+r+` `log-prod` `add-cbrt-cube`
4×	`sum-log` `log-pow` `distribute-lft-out--`
3×	`unpow-prod-down` `pow-unpow` `associate-+l+` `associate-l`
2×	`flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+l-` `sub-neg` `pow-pow` `distribute-lft-in` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

12.0ms	(+ (- (+ (* 2 (log (pow z 1/3))) 1.0) z) (log (cbrt z)))
13.0ms	(* y (+ (- (+ (* 2 (log (pow z 1/3))) 1.0) z) (log (cbrt z))))
1.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

451.0ms	(+ (- (+ (* 2 (log (pow z 1/3))) 1.0) z) (log (cbrt z)))
224.0ms	(* y (+ (- (+ (* 2 (log (pow z 1/3))) 1.0) z) (log (cbrt z))))
187.0ms	(cbrt z)
183.0ms	(pow z 1/3)

simplify53.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	402	699
1	1759	604
2	5001	580

prune276.0ms

Filtered

94 candidates to 66 candidates (70.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (+ (* 2 (log (pow z 1/3))) 1.0) z))
0.2b	(* (log (pow z 1/3)) y)
5.0b	(pow z 1/3)
5.0b	(pow z 1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1` `add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`associate-l`
6×	`unpow-prod-down` `pow-unpow`
4×	`add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`pow-to-exp` `sub-neg` `pow-pow` `unpow1/3` `associate-r/` `pow-prod-down` `pow-exp` `prod-exp` `associate--l+` `-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

9.0ms	(* y (- (+ (* 2 (log (pow z 1/3))) 1.0) z))
4.0ms	(* (log (pow z 1/3)) y)
2.0ms	(pow z 1/3)
2.0ms	(pow z 1/3)

series633.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* y (- (+ (* 2 (log (pow z 1/3))) 1.0) z))
106.0ms	(* (log (pow z 1/3)) y)
179.0ms	(pow z 1/3)
182.0ms	(pow z 1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	311	461
1	1426	405
2	5001	377

prune248.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0b

Counts

102 → 6

regimes231.0ms

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	24	11
1	24	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

426.0ms	9225×	body	80	valid
358.0ms	9251×	body	80	nan

Details

sample40.0ms

simplify60.0ms

prune2.0ms

localize10.0ms

rewrite24.0ms

series315.0ms

simplify46.0ms

prune146.0ms

localize14.0ms

rewrite29.0ms

series896.0ms

simplify43.0ms

prune256.0ms

localize23.0ms

rewrite31.0ms

series1.0s

simplify53.0ms

prune276.0ms

localize20.0ms

rewrite20.0ms

series633.0ms

simplify49.0ms

prune248.0ms

regimes231.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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