Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	273×	body	80	nan
10.0ms	257×	body	80	valid

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

8.0ms	(- (- (* x (log y)) z) y)
5.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series123.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
55.0ms	(- (* x (log y)) z)
37.0ms	(* x (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	365	609
1	1312	480
2	5001	447

prune171.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
23×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`sqrt-prod`
14×	`pow1`
12×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
9×	`add-exp-log` `associate-r` `associate-l` `log-pow` `add-log-exp`
8×	`add-cbrt-cube`
5×	`associate-+r+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sqrt-pow1` `pow1/2` `prod-diff`
2×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `fma-def` `flip3-+` `diff-log` `rem-log-exp` `flip-+`

Counts

4 → 110

Calls

4 calls:

2.0ms	(log (sqrt y))
9.0ms	(+ (* x (log (sqrt y))) (- (* (log (sqrt y)) x) z))
5.0ms	(* (log (sqrt y)) x)
8.0ms	(* x (log (sqrt y)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log (sqrt y))
94.0ms	(+ (* x (log (sqrt y))) (- (* (log (sqrt y)) x) z))
114.0ms	(* (log (sqrt y)) x)
85.0ms	(* x (log (sqrt y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	430	783
1	1595	690
2	5001	653

prune251.0ms

Filtered

122 candidates to 89 candidates (73.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (log (sqrt y)) 3)) x)
0.3b	(* x (log (sqrt y)))
0.6b	(cbrt (pow (log (sqrt y)) 3))
0.7b	(pow (log (sqrt y)) 3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
32×	`add-sqr-sqrt`
24×	`associate-l`
23×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity` `log-pow`
19×	`unpow-prod-down` `cube-prod`
12×	`log-prod`
9×	`add-exp-log` `associate-r`
8×	`add-cbrt-cube`
7×	`sqrt-pow1` `pow1/2`
6×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `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 → 137

Calls

4 calls:

8.0ms	(* (cbrt (pow (log (sqrt y)) 3)) x)
5.0ms	(* x (log (sqrt y)))
5.0ms	(cbrt (pow (log (sqrt y)) 3))
4.0ms	(pow (log (sqrt y)) 3)

series393.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (pow (log (sqrt y)) 3)) x)
83.0ms	(* x (log (sqrt y)))
60.0ms	(cbrt (pow (log (sqrt y)) 3))
133.0ms	(pow (log (sqrt y)) 3)

simplify70.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	552	837
1	2344	769
2	5001	754

prune281.0ms

Filtered

149 candidates to 84 candidates (56.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	149	6	155

Merged error: 0.0b

Counts

155 → 6

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)

rewrite21.0ms

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×	`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 → 104

Calls

4 calls:

7.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series532.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (* 2 (log (cbrt y))))
89.0ms	(* x (log (cbrt y)))
173.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	297	668
1	1179	591
2	5001	567

prune236.0ms

Filtered

116 candidates to 76 candidates (65.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0.0b

Counts

122 → 6

regimes79.0ms

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	11	9
1	11	9

end0.0ms

sample868.0ms

Algorithm

intervals

Results

300.0ms	8025×	body	80	valid
226.0ms	8076×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid