Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	274×	body	80	valid
7.0ms	282×	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

localize10.0ms

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))

series74.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* y (sqrt z)))
39.0ms	(* y (sqrt z))

simplify115.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (26.0ms)

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

prune87.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

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)))

rewrite24.0ms

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)))
12.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(sqrt (sqrt z))
128.0ms	(sqrt (sqrt z))
75.0ms	(* y (sqrt (sqrt z)))
39.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (36.0ms)

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

prune211.0ms

Filtered

100 candidates to 59 candidates (59.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `associate-l`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `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 (* (* (pow z 1/4) y) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
5.0ms	(* (pow z 1/4) y)
8.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
133.0ms	(sqrt (sqrt z))
91.0ms	(* (pow z 1/4) y)
124.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	471	563
1	1928	514
2	5002	491

prune234.0ms

Filtered

92 candidates to 63 candidates (68.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	93	6	99

Merged error: 0b

Counts

99 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1` `associate-l`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `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 (* (* (pow z 1/4) y) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
5.0ms	(* (pow z 1/4) y)
8.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
135.0ms	(sqrt (sqrt z))
90.0ms	(* (pow z 1/4) y)
122.0ms	(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	471	563
1	1928	514
2	5002	491

prune243.0ms

Filtered

92 candidates to 63 candidates (68.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0b

Counts

98 → 6

regimes217.0ms

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

sample804.0ms

Algorithm

intervals

Results

230.0ms	8568×	body	80	valid
220.0ms	8679×	body	80	nan