Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	286×	body	80	valid
8.0ms	309×	body	80	nan

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-+l+`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`+-commutative` `sub-neg`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`associate-+l-` `*-commutative`

Counts

2 → 17

Calls

2 calls:

4.0ms	(+ (- 1.0 z) (log z))
5.0ms	(* y (+ (- 1.0 z) (log z)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(+ (- 1.0 z) (log z))
75.0ms	(* y (+ (- 1.0 z) (log z)))

simplify37.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	146	116
1	392	106
2	1219	106
3	5001	96

prune42.0ms

Filtered

23 candidates to 12 candidates (52.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0.0b

Counts

24 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (log z)) (* y (- 1.0 z)))
0.3b	(* y (log z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
2×	`fma-def` `associate-*r/`
1×	`+-commutative` `distribute-rgt-out` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 19

Calls

3 calls:

3.0ms	(* y (- 1.0 z))
5.0ms	(+ (* y (log z)) (* y (- 1.0 z)))
2.0ms	(* y (log z))

series166.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* y (- 1.0 z))
91.0ms	(+ (* y (log z)) (* y (- 1.0 z)))
37.0ms	(* y (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	174	111
1	601	103
2	2502	94
3	5001	94

prune49.0ms

Filtered

28 candidates to 13 candidates (46.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.5b	(* (log z) (log z))
5.1b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
8.7b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-commutative`
16×	`distribute-rgt-in` `distribute-lft-in`
9×	`flip3--` `flip--`
8×	`sub-neg` `associate-r` `prod-diff` `associate--l+` `difference-of-squares`
6×	`associate-r/` `associate-/l`
4×	`frac-times`
2×	`pow2` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 56

Calls

4 calls:

4.0ms	(* (- 1.0 z) (- 1.0 z))
3.0ms	(* (log z) (log z))
10.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
13.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (- 1.0 z) (- 1.0 z))
149.0ms	(* (log z) (log z))
81.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
206.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	502	628
1	1963	591
2	5001	562

prune140.0ms

Filtered

68 candidates to 30 candidates (44.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.2b	(/ (- (- 1.0 z) (log z)) y)
0.5b	(* (log z) (log z))
14.2b	(/ (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))) (/ (- (- 1.0 z) (log z)) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-commutative`
9×	`flip3--` `flip--`
8×	`difference-of-squares`
7×	`div-inv`
6×	`associate-/l/`
5×	`associate-/r/`
4×	`frac-times` `times-frac` `associate-/l*`
3×	`frac-2neg` `div-sub` `clear-num`
2×	`pow2` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`associate--l-` `associate-/r*`

Counts

4 → 43

Calls

4 calls:

4.0ms	(* (- 1.0 z) (- 1.0 z))
5.0ms	(/ (- (- 1.0 z) (log z)) y)
3.0ms	(* (log z) (log z))
13.0ms	(/ (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))) (/ (- (- 1.0 z) (log z)) y))

series391.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (- 1.0 z) (- 1.0 z))
79.0ms	(/ (- (- 1.0 z) (log z)) y)
151.0ms	(* (log z) (log z))
144.0ms	(/ (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))) (/ (- (- 1.0 z) (log z)) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	460	463
1	1847	432
2	5002	391

prune134.0ms

Filtered

55 candidates to 34 candidates (61.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0b

Counts

60 → 5

regimes144.0ms

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	12	5
1	12	5

end0.0ms

sample960.0ms

Algorithm

intervals

Results

321.0ms	9170×	body	80	valid
266.0ms	9380×	body	80	nan