Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	290×	body	80	valid
10.0ms	281×	body	80	nan

simplify58.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite26.0ms

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:

8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
159.0ms	(+ (- 1.0 z) (log z))
70.0ms	(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370

prune275.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.1b	(+ (- (+ (* 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:

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

series859.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
336.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
169.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify44.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

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

prune231.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

8.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series194.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
93.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	368	448
1	1478	396
2	5002	380

prune138.0ms

Filtered

69 candidates to 47 candidates (68.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (neg z) (log z))
0.0b	(+ (* x 0.5) (+ (* y 1.0) (* y (+ (neg z) (log z)))))
0.1b	(+ (* y 1.0) (* y (+ (neg z) (log z))))
0.1b	(* y (+ (neg z) (log z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
13×	`add-log-exp`
10×	`pow1`
9×	`add-sqr-sqrt` `distribute-lft-out`
7×	`add-cube-cbrt` `associate-r`
6×	`add-exp-log` `associate-+r+` `sum-log` `add-cbrt-cube`
4×	`distribute-rgt-neg-in` `flip3-+` `log-pow` `flip-+`
3×	`+-commutative` `log-prod` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`neg-sub0` `associate-+l-` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

6.0ms	(+ (neg z) (log z))
7.0ms	(+ (* x 0.5) (+ (* y 1.0) (* y (+ (neg z) (log z)))))
4.0ms	(+ (* y 1.0) (* y (+ (neg z) (log z))))
9.0ms	(* y (+ (neg z) (log z)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ (neg z) (log z))
58.0ms	(+ (* x 0.5) (+ (* y 1.0) (* y (+ (neg z) (log z)))))
94.0ms	(+ (* y 1.0) (* y (+ (neg z) (log z))))
71.0ms	(* y (+ (neg z) (log z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	446	566
1	1897	482
2	5002	474

prune164.0ms

Filtered

85 candidates to 63 candidates (74.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes189.0ms

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	21	11
1	21	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

419.0ms	9144×	body	80	valid
326.0ms	9080×	body	80	nan

Details

sample38.0ms

simplify58.0ms

prune2.0ms

localize9.0ms

rewrite26.0ms

series286.0ms

simplify46.0ms

prune275.0ms

localize13.0ms

rewrite29.0ms

series859.0ms

simplify44.0ms

prune231.0ms

localize10.0ms

rewrite21.0ms

series194.0ms

simplify50.0ms

prune138.0ms

localize17.0ms

rewrite27.0ms

series389.0ms

simplify58.0ms

prune164.0ms

regimes189.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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