Details

sample35.0ms

Algorithm

intervals

Results

19.0ms

525×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

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: 6.3b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.0b	(* (* y 4.0) (- (* z z) t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-r` `associate--r+` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))

series132.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
58.0ms	(* (* y 4.0) (- (* z z) t))

simplify39.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281

prune82.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 1.7b

Counts

48 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.0b	(* (* y 4.0) (- (* z z) t))
6.0b	(* (* y 4.0) (- (* z z) t))
6.0b	(* (* y 4.0) (- (* z z) t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-r`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-l` `*-commutative` `difference-of-squares`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 86

Calls

4 calls:

6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))
8.0ms	(* (* y 4.0) (- (* z z) t))
8.0ms	(* (* y 4.0) (- (* z z) t))

series333.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
59.0ms	(* (* y 4.0) (- (* z z) t))
63.0ms	(* (* y 4.0) (- (* z z) t))
62.0ms	(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	616
1	1138	518
2	5002	507

prune212.0ms

Filtered

98 candidates to 61 candidates (62.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 1.7b

Counts

104 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
5.9b	(sqrt (- (* z z) t))
5.9b	(sqrt (- (* z z) t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

9.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
18.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(sqrt (- (* z z) t))

series223.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
64.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
50.0ms	(sqrt (- (* z z) t))
44.0ms	(sqrt (- (* z z) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	372	769
1	1759	649
2	5001	641

prune218.0ms

Filtered

101 candidates to 69 candidates (68.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	99	8	107

Merged error: 1.7b

Counts

107 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
5.9b	(sqrt (- (* z z) t))
5.9b	(sqrt (- (* z z) t))
5.9b	(sqrt (- (* z z) t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

86×	`sqrt-prod`
59×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1` `sqrt-div`
19×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
16×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3--` `pow-prod-up` `flip--` `unswap-sqr`
7×	`difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

16.0ms	(* (sqrt (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(sqrt (- (* z z) t))
4.0ms	(sqrt (- (* z z) t))

series188.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (sqrt (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
44.0ms	(sqrt (- (* z z) t))
50.0ms	(sqrt (- (* z z) t))
45.0ms	(sqrt (- (* z z) t))

simplify45.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	246	896
1	916	830
2	5001	810

prune310.0ms

Filtered

146 candidates to 84 candidates (57.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	146	8	154

Merged error: 1.7b

Counts

154 → 8

regimes506.0ms

Accuracy

67.3% (1.0b remaining)

Error of 3.8b against oracle of 2.8b and baseline of 5.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample963.0ms

Algorithm

intervals

Results

584.0ms

15839×

body

valid