Details

sample52.0ms

Algorithm

intervals

Results

24.0ms

360×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

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: 4.6b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) z)
7.0b	(* (* (* y 9.0) z) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
8.0ms	(* (* a 27.0) b)
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series128.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms	(* (* a 27.0) b)
16.0ms	(* (* y 9.0) z)
26.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	348	371
1	1755	309
2	5001	309

prune182.0ms

Filtered

81 candidates to 48 candidates (59.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* (* a 27.0) b)
4.5b	(* (* y 9.0) (* z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 52

Calls

3 calls:

4.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
5.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) (* z t))

series111.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
19.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) (* z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	313	308
1	1409	254
2	5001	254

prune120.0ms

Filtered

61 candidates to 35 candidates (57.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.2b	(* (* a 27.0) b)
0.3b	(* 9.0 (* z t))
4.2b	(* y (* 9.0 (* z t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
5.0ms	(* (* a 27.0) b)
5.0ms	(* 9.0 (* z t))
7.0ms	(* y (* 9.0 (* z t)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
19.0ms	(* (* a 27.0) b)
16.0ms	(* 9.0 (* z t))
25.0ms	(* y (* 9.0 (* z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	335	369
1	1505	307
2	5002	307

prune157.0ms

Filtered

81 candidates to 49 candidates (60.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 27.0) b)
0.3b	(* (sqrt 9.0) (* (sqrt 9.0) (* z t)))
0.3b	(* (sqrt 9.0) (* z t))
4.2b	(* y (* (sqrt 9.0) (* (sqrt 9.0) (* z t))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `sqrt-prod`
4×	`*-commutative` `add-log-exp`

Counts

4 → 87

Calls

4 calls:

5.0ms	(* (* a 27.0) b)
12.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* z t)))
6.0ms	(* (sqrt 9.0) (* z t))
11.0ms	(* y (* (sqrt 9.0) (* (sqrt 9.0) (* z t))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* a 27.0) b)
71.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* z t)))
39.0ms	(* (sqrt 9.0) (* z t))
105.0ms	(* y (* (sqrt 9.0) (* (sqrt 9.0) (* z t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	344	487
1	1627	376
2	5001	363

prune191.0ms

Filtered

99 candidates to 58 candidates (58.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	99	8	107

Merged error: 0b

Counts

107 → 8

regimes636.0ms

Accuracy

74.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	29
1	53	29

end0.0ms

sample812.0ms

Algorithm

intervals

Results

445.0ms

11009×

body

valid