Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
6.0ms	238×	body	80	nan

simplify19.0ms

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

prune3.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series84.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* y (sqrt z)))
49.0ms	(* y (sqrt z))

simplify126.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	219	188
1	829	168
2	3837	161
3	5002	161

prune105.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	8	40

Merged error: 0.0b

Counts

40 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
10.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt z))
137.0ms	(sqrt (sqrt z))
87.0ms	(* y (sqrt (sqrt z)))
49.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	336	520
1	1470	454
2	5002	427

prune241.0ms

Filtered

100 candidates to 59 candidates (59.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

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))
0.2b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 80

Calls

4 calls:

3.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
5.0ms	(* y (pow z 1/4))
8.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
141.0ms	(sqrt (sqrt z))
73.0ms	(* y (pow z 1/4))
92.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	477	564
1	2149	507
2	5001	507

prune260.0ms

Filtered

92 candidates to 62 candidates (67.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (pow z 1/4))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`sqrt-prod`
20×	`add-sqr-sqrt`
19×	`add-exp-log`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`unpow-prod-down` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

3.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
8.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series391.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
148.0ms	(sqrt (sqrt z))
91.0ms	(* y (sqrt (sqrt z)))
92.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify71.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	513	603
1	2293	547
2	5001	547

prune224.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

regimes311.0ms

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

sample822.0ms

Algorithm

intervals

Results

240.0ms	8543×	body	80	valid
220.0ms	8276×	body	80	nan