Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	294×	body	80	valid
11.0ms	314×	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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

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

series239.0ms

Counts

2 → 6

Calls

2 calls:

163.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	247	273
1	1060	236
2	5001	235

prune114.0ms

Filtered

54 candidates to 33 candidates (61.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	8	55

Merged error: 0.0b

Counts

55 → 8

localize13.0ms

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)

rewrite30.0ms

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:

12.0ms	(+ (- (+ (* 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)

series875.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
177.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
177.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	317	676
1	1327	594
2	5002	546

prune263.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Merged error: 0.0b

Counts

95 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

7.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series138.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
42.0ms	(* y (log z))

simplify128.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	249	284
1	977	249
2	4898	228
3	5001	228

prune111.0ms

Filtered

53 candidates to 34 candidates (64.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log (cbrt z)))
0.3b	(+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`associate-+l+` `log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

5.0ms	(* y (log (cbrt z)))
10.0ms	(+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z))))
2.0ms	(cbrt z)
6.0ms	(cbrt z)

series636.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* y (log (cbrt z)))
139.0ms	(+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z))))
184.0ms	(cbrt z)
192.0ms	(cbrt z)

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	256	562
1	1105	510
2	5002	408

prune314.0ms

Filtered

91 candidates to 72 candidates (79.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

regimes133.0ms

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

sample1.2s

Algorithm

intervals

Results

419.0ms	9156×	body	80	valid
353.0ms	9077×	body	80	nan