Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	272×	body	80	valid
6.0ms	248×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune2.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-r`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-l` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* y (sqrt z)))
46.0ms	(* y (sqrt z))

simplify114.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	214	194
1	808	174
2	3684	167
3	5002	167

prune79.0ms

Filtered

41 candidates to 28 candidates (31.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	8	42

Merged error: 0.0b

Counts

42 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

74×	`sqrt-prod`
69×	`add-sqr-sqrt`
27×	`associate-r` `unswap-sqr`
26×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`*-commutative`

Counts

4 → 119

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
16.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt z))
143.0ms	(sqrt (sqrt z))
86.0ms	(* y (sqrt (sqrt z)))
46.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	360	816
1	1498	664
2	5001	628

prune222.0ms

Filtered

131 candidates to 73 candidates (44.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	131	8	139

Merged error: 0b

Counts

139 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
31×	`sqrt-prod`
27×	`associate-l` `unswap-sqr`
23×	`associate-r`
22×	`*-un-lft-identity`
19×	`add-exp-log`
16×	`add-cube-cbrt`
13×	`pow1`
11×	`unpow-prod-down` `add-cbrt-cube`
10×	`prod-exp`
7×	`sqr-pow`
6×	`add-log-exp`
4×	`sqrt-pow1` `pow-prod-down` `cbrt-unprod`
3×	`*-commutative` `distribute-lft-out`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 114

Calls

4 calls:

21.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (pow z 1/4))
15.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
136.0ms	(sqrt (sqrt z))
67.0ms	(* y (pow z 1/4))
90.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	519	858
1	2232	801
2	5001	801

prune269.0ms

Filtered

126 candidates to 81 candidates (35.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	127	7	134

Merged error: 0b

Counts

134 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series753.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt z) (cbrt z))
186.0ms	(cbrt z)
177.0ms	(cbrt z)
187.0ms	(cbrt z)

simplify92.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune252.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	88	7	95

Merged error: 0b

Counts

95 → 7

regimes239.0ms

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	13	5
1	13	5

end0.0ms

sample839.0ms

Algorithm

intervals

Results

249.0ms	8497×	body	80	valid
223.0ms	8347×	body	80	nan