Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
7.0ms	265×	body	80	nan

simplify16.0ms

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

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 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* x (log y)) z)
35.0ms	(* x (log y))

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	171	218
1	516	200
2	1464	185
3	5001	185

prune88.0ms

Filtered

49 candidates to 32 candidates (65.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 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)
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

2.0ms	(log (sqrt y))
7.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
5.0ms	(* x (log (sqrt y)))
9.0ms	(* x (log (sqrt y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (sqrt y))
94.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
84.0ms	(* x (log (sqrt y)))
85.0ms	(* x (log (sqrt y)))

simplify139.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	303	755
1	1056	648
2	4521	622
3	5001	622

prune232.0ms

Filtered

111 candidates to 70 candidates (63.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0b

Counts

117 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
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 → 120

Calls

4 calls:

8.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
10.0ms	(* x (log (cbrt (sqrt y))))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series531.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
116.0ms	(* x (log (cbrt (sqrt y))))
144.0ms	(cbrt (sqrt y))
147.0ms	(cbrt (sqrt y))

simplify56.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	395	1060
1	1413	970
2	5002	938

prune318.0ms

Filtered

132 candidates to 74 candidates (56.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	133	7	140

Merged error: 0b

Counts

140 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt (sqrt y)))))
0.3b	(* x (log (pow y 1/6)))
0.6b	(cbrt (sqrt y))
4.0b	(pow y 1/6)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-prod`
43×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
15×	`sqrt-prod`
12×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`unpow-prod-down`
6×	`associate-l`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`*-commutative`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `log-pow` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

7.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
5.0ms	(* x (log (pow y 1/6)))
2.0ms	(cbrt (sqrt y))
2.0ms	(pow y 1/6)

series649.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
214.0ms	(* x (log (pow y 1/6)))
148.0ms	(cbrt (sqrt y))
168.0ms	(pow y 1/6)

simplify60.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	488	926
1	1912	837
2	5002	812

prune321.0ms

Filtered

130 candidates to 72 candidates (55.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	130	7	137

Merged error: 0b

Counts

137 → 7

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

sample879.0ms

Algorithm

intervals

Results

302.0ms	8032×	body	80	valid
225.0ms	7930×	body	80	nan