Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	276×	body	80	valid
9.0ms	287×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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 (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 1 expressions with local error:

0.3b	(* y (sqrt z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* y (sqrt z))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* y (sqrt z))

simplify84.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	148	113
1	603	100
2	2850	94
3	5001	94

prune55.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize10.0ms

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)))

rewrite21.0ms

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))
6.0ms	(* y (sqrt (sqrt z)))
9.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt z))
131.0ms	(sqrt (sqrt z))
78.0ms	(* y (sqrt (sqrt z)))
43.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	336	516
1	1470	454
2	5002	427

prune188.0ms

Filtered

100 candidates to 59 candidates (59.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt z)))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
0.4b	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

69×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
23×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`sqrt-pow1`
5×	`associate-l`
4×	`add-log-exp`
3×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

3.0ms	(sqrt (sqrt (sqrt z)))
6.0ms	(* y (sqrt (sqrt z)))
11.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
16.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(sqrt (sqrt (sqrt z)))
78.0ms	(* y (sqrt (sqrt z)))
109.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
45.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	478	919
1	2379	763
2	5002	680

prune236.0ms

Filtered

120 candidates to 68 candidates (56.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	120	6	126

Merged error: 0b

Counts

126 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt z)))
0.2b	(* (pow z 1/4) y)
0.3b	(* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z))))
0.4b	(* (* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

57×	`sqrt-prod`
35×	`add-exp-log`
27×	`associate-r`
26×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
10×	`cbrt-unprod`
9×	`sqrt-pow1` `associate-l`
4×	`unpow-prod-down` `pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `unswap-sqr`
2×	`sqr-pow`

Counts

4 → 109

Calls

4 calls:

3.0ms	(sqrt (sqrt (sqrt z)))
5.0ms	(* (pow z 1/4) y)
9.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z))))
14.0ms	(* (* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(sqrt (sqrt (sqrt z)))
89.0ms	(* (pow z 1/4) y)
117.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z))))
122.0ms	(* (* (* (pow z 1/4) y) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify67.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	541	904
1	2471	775
2	5002	737

prune244.0ms

Filtered

121 candidates to 70 candidates (57.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0b

Counts

127 → 6

regimes202.0ms

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

sample914.0ms

Algorithm

intervals

Results

293.0ms	8543×	body	80	valid
273.0ms	8550×	body	80	nan