Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

360×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize14.0ms

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)

rewrite31.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

4.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
5.0ms	(* (* a 27.0) b)
11.0ms	(* (* y 9.0) z)
8.0ms	(* (* (* y 9.0) z) t)

series151.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
22.0ms	(* (* a 27.0) b)
20.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify72.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	371	417
1	1863	351
2	5001	351

prune263.0ms

Filtered

91 candidates to 58 candidates (63.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 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))

rewrite18.0ms

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*`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 60

Calls

3 calls:

4.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* y 9.0) (* z t))

series135.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
22.0ms	(* (* a 27.0) b)
34.0ms	(* (* y 9.0) (* z t))

simplify66.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	340	348
1	1589	291
2	5002	290

prune173.0ms

Filtered

69 candidates to 43 candidates (62.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

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)
0.3b	(* 9.0 (* z t))
4.2b	(* y (* 9.0 (* z t)))

rewrite29.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

4.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
6.0ms	(* (* a 27.0) b)
5.0ms	(* 9.0 (* z t))
12.0ms	(* y (* 9.0 (* z t)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
21.0ms	(* (* a 27.0) b)
19.0ms	(* 9.0 (* z t))
28.0ms	(* y (* 9.0 (* z t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	362	415
1	1658	349
2	5002	349

prune238.0ms

Filtered

91 candidates to 59 candidates (64.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	90	8	98

Merged error: 0b

Counts

98 → 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))))

rewrite38.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 95

Calls

4 calls:

5.0ms	(* (* a 27.0) b)
10.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* z t)))
7.0ms	(* (sqrt 9.0) (* z t))
12.0ms	(* y (* (sqrt 9.0) (* (sqrt 9.0) (* z t))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* a 27.0) b)
87.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* z t)))
54.0ms	(* (sqrt 9.0) (* z t))
123.0ms	(* y (* (sqrt 9.0) (* (sqrt 9.0) (* z t))))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	352	527
1	1635	416
2	5001	403

prune263.0ms

Filtered

107 candidates to 66 candidates (61.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	107	8	115

Merged error: 0b

Counts

115 → 8

regimes740.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	53	29
1	53	29

end0.0ms

sample873.0ms

Algorithm

intervals

Results

476.0ms

11009×

body

valid