Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
7.0ms	271×	body	80	nan

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.3b	(* x (log y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (- (* x (log y)) z) y)
7.0ms	(* x (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	229	284
1	693	253
2	2061	235
3	5002	235

prune68.0ms

Filtered

55 candidates to 36 candidates (34.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	6	56

Merged error: 0.0b

Counts

56 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(- (- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z) y)
0.3b	(* x (log (sqrt y)))
0.3b	(* x (log (sqrt y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`sqrt-prod`
14×	`pow1`
13×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
6×	`associate-l`
5×	`diff-log`
4×	`associate--l+`
3×	`sqrt-pow1` `pow1/2` `distribute-lft-out--`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `flip3--` `rem-log-exp` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

2.0ms	(log (sqrt y))
9.0ms	(- (- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z) y)
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (sqrt y))
11.0ms	(- (- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z) y)
9.0ms	(* x (log (sqrt y)))
9.0ms	(* x (log (sqrt y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	311	806
1	1154	714
2	5001	681

prune113.0ms

Filtered

116 candidates to 75 candidates (35.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (sqrt y)))
0.3b	(* x (cbrt (pow (log (sqrt y)) 3)))
0.5b	(cbrt (pow (log (sqrt y)) 3))
0.8b	(pow (log (sqrt y)) 3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
32×	`add-sqr-sqrt`
27×	`associate-r`
23×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity` `log-pow`
19×	`unpow-prod-down` `cube-prod`
12×	`log-prod`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`sqrt-pow1` `pow1/2`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `sqrt-prod` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 129

Calls

4 calls:

5.0ms	(* x (log (sqrt y)))
8.0ms	(* x (cbrt (pow (log (sqrt y)) 3)))
3.0ms	(cbrt (pow (log (sqrt y)) 3))
3.0ms	(pow (log (sqrt y)) 3)

series37.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* x (log (sqrt y)))
11.0ms	(* x (cbrt (pow (log (sqrt y)) 3)))
4.0ms	(cbrt (pow (log (sqrt y)) 3))
13.0ms	(pow (log (sqrt y)) 3)

simplify74.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	552	830
1	2467	776
2	5001	763

prune147.0ms

Filtered

141 candidates to 75 candidates (46.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	141	7	148

Merged error: 0.0b

Counts

148 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series83.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 2 (log (cbrt y))))
21.0ms	(* x (log (cbrt y)))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify99.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	317	680
1	1171	607
2	4308	566
3	5001	542

prune86.0ms

Filtered

108 candidates to 62 candidates (42.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

regimes178.0ms

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	10	9
1	10	9

end0.0ms

sample955.0ms

Algorithm

intervals

Results

274.0ms	8037×	body	80	valid
196.0ms	7878×	body	80	nan
0.0ms	1×	body	640	valid

Details

sample35.0ms

simplify14.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series15.0ms

simplify48.0ms

prune68.0ms

localize9.0ms

rewrite24.0ms

series33.0ms

simplify44.0ms

prune113.0ms

localize14.0ms

rewrite23.0ms

series37.0ms

simplify74.0ms

prune147.0ms

localize12.0ms

rewrite16.0ms

series83.0ms

simplify99.0ms

prune86.0ms

regimes178.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample955.0ms

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