Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	330×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.0b	(* x (+ (* (+ y z) 2) t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

11.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
14.0ms	(* x (+ (* (+ y z) 2) t))

series27.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
11.0ms	(* x (+ (* (+ y z) 2) t))

simplify44.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5376	519

prune76.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(cbrt x)

series99.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt x) (cbrt x))
23.0ms	(cbrt x)
23.0ms	(cbrt x)
23.0ms	(cbrt x)

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5165	356

prune97.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t))) (* y 5.0))
0.1b	(* x (sqrt (+ (* (+ y z) 2) t)))
0.2b	(* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
7×	`sqrt-prod`
5×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 64

Calls

3 calls:

21.0ms	(+ (* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t))) (* y 5.0))
11.0ms	(* x (sqrt (+ (* (+ y z) 2) t)))
19.0ms	(* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t))) (* y 5.0))
28.0ms	(* x (sqrt (+ (* (+ y z) 2) t)))
29.0ms	(* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4965	1134
1	4965	1134

prune115.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ (* (+ y z) 2) t)))
0.1b	(* x (sqrt (sqrt (+ (* (+ y z) 2) t))))
0.1b	(* (* x (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (sqrt (+ (* (+ y z) 2) t))))
0.2b	(* (* (* x (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (+ (* (+ y z) 2) t)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
36×	`associate-*r/`
35×	`flip3-+` `flip-+`
34×	`sqrt-prod`
32×	`frac-times`
24×	`associate-r`
23×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 131

Calls

4 calls:

8.0ms	(sqrt (sqrt (+ (* (+ y z) 2) t)))
13.0ms	(* x (sqrt (sqrt (+ (* (+ y z) 2) t))))
23.0ms	(* (* x (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (sqrt (+ (* (+ y z) 2) t))))
35.0ms	(* (* (* x (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (+ (* (+ y z) 2) t)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (sqrt (+ (* (+ y z) 2) t)))
43.0ms	(* x (sqrt (sqrt (+ (* (+ y z) 2) t))))
28.0ms	(* (* x (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (sqrt (+ (* (+ y z) 2) t))))
29.0ms	(* (* (* x (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (sqrt (+ (* (+ y z) 2) t)))) (sqrt (+ (* (+ y z) 2) t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4938	2837
1	4938	2837

prune294.0ms

Filtered

90 candidates to 143 candidates (-58.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	143	5	148

Merged error: 0.0b

Counts

148 → 5

regimes260.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample932.0ms

Algorithm

intervals

Results

395.0ms	10712×	body	80	valid
12.0ms	90×	body	640	valid
11.0ms	68×	body	1280	valid
6.0ms	57×	body	320	valid
2.0ms	31×	body	160	valid

Details

sample32.0ms

simplify8.0ms

prune9.0ms

localize9.0ms

rewrite26.0ms

series27.0ms

simplify44.0ms

prune76.0ms

localize14.0ms

rewrite15.0ms

series99.0ms

simplify52.0ms

prune97.0ms

localize14.0ms

rewrite53.0ms

series80.0ms

simplify60.0ms

prune115.0ms

localize14.0ms

rewrite88.0ms

series137.0ms

simplify90.0ms

prune294.0ms

regimes260.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample932.0ms

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