Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
8.0ms	265×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`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` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

5.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series91.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* x (log y)) z)
37.0ms	(* x (log y))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	221	261
1	761	224
2	2785	207
3	5001	203

prune99.0ms

Filtered

57 candidates to 38 candidates (66.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Merged error: 0.0b

Counts

58 → 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)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`log-prod` `*-un-lft-identity`
28×	`add-cube-cbrt`
18×	`prod-diff`
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×	`fma-neg` `associate-l`
4×	`expm1-log1p-u` `distribute-rgt-out` `count-2` `log1p-expm1-u` `distribute-lft-out`
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 → 131

Calls

4 calls:

2.0ms	(log (sqrt y))
8.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (sqrt y))
90.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
79.0ms	(* x (log (sqrt y)))
82.0ms	(* x (log (sqrt y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	391	1143
1	1403	877
2	5001	847

prune260.0ms

Filtered

143 candidates to 86 candidates (60.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	141	8	149

Merged error: 0b

Counts

149 → 8

localize22.0ms

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))

rewrite22.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 128

Calls

4 calls:

7.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
6.0ms	(* x (log (cbrt (sqrt y))))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series541.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
114.0ms	(* x (log (cbrt (sqrt y))))
140.0ms	(cbrt (sqrt y))
145.0ms	(cbrt (sqrt y))

simplify54.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	405	1092
1	1442	1004
2	5001	972

prune355.0ms

Filtered

140 candidates to 82 candidates (58.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	141	7	148

Merged error: 0b

Counts

148 → 7

localize25.0ms

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)

rewrite21.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 126

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)

series518.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
74.0ms	(* x (log (pow y 1/6)))
138.0ms	(cbrt (sqrt y))
165.0ms	(pow y 1/6)

simplify63.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	499	955
1	1937	867
2	5002	842

prune390.0ms

Filtered

138 candidates to 80 candidates (58.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	138	7	145

Merged error: 0b

Counts

145 → 7

regimes90.0ms

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

sample870.0ms

Algorithm

intervals

Results

305.0ms	8032×	body	80	valid
225.0ms	7930×	body	80	nan