Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	286×	body	80	nan

simplify18.0ms

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)
0.2b	(* 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:

30.0ms	(- (- (* x (log y)) z) y)
52.0ms	(- (* x (log y)) z)
40.0ms	(* x (log y))

simplify46.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

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

prune158.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(log (sqrt y))
0.2b	(* x (log (sqrt y)))
0.2b	(* x (log (sqrt y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
16×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `log-pow`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

2.0ms	(log (sqrt y))
2.0ms	(log (sqrt y))
5.0ms	(* x (log (sqrt y)))
6.0ms	(* x (log (sqrt y)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (sqrt y))
59.0ms	(log (sqrt y))
79.0ms	(* x (log (sqrt y)))
81.0ms	(* x (log (sqrt y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	213	654
1	739	584
2	3147	554
3	5002	550

prune214.0ms

Filtered

120 candidates to 78 candidates (65.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series529.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (log (cbrt y)))
94.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
169.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune322.0ms

Filtered

123 candidates to 102 candidates (82.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	122	8	130

Merged error: 0b

Counts

130 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
38×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
15×	`cbrt-prod` `unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

5.0ms	(* x (log (pow y 1/3)))
14.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series543.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* x (log (pow y 1/3)))
138.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
166.0ms	(cbrt y)
163.0ms	(pow y 1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	490	792
1	1999	672
2	5001	601

prune336.0ms

Filtered

133 candidates to 103 candidates (77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	133	8	141

Merged error: 0b

Counts

141 → 8

regimes99.0ms

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

sample877.0ms

Algorithm

intervals

Results

301.0ms	8028×	body	80	valid
227.0ms	8112×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid