Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

359×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune9.0ms

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: 3.9b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
6.6b	(* (* (* y 9.0) z) t)

rewrite22.0ms

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

series138.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
21.0ms	(* (* y 9.0) z)
20.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* y 9.0) z) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (13.0ms)

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

prune246.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.6b	(* (* (* 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`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
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))
5.0ms	(* (* y 9.0) z)
7.0ms	(* 27.0 (* a b))
7.0ms	(* (* (* y 9.0) z) t)

series142.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
18.0ms	(* (* y 9.0) z)
20.0ms	(* 27.0 (* a b))
26.0ms	(* (* (* y 9.0) z) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	359	416
1	1685	350
2	5001	350

prune224.0ms

Filtered

91 candidates to 56 candidates (61.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* (* a 27.0) b)
6.6b	(* t (* z y))

rewrite22.0ms

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
31.0ms	(* 9.0 (* t (* z y)))
20.0ms	(* (* a 27.0) b)
25.0ms	(* t (* z y))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	346	413
1	1494	347
2	5001	347

prune210.0ms

Filtered

91 candidates to 58 candidates (63.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
0.0b	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
0.3b	(* (* a 27.0) b)
6.6b	(* (* 9.0 t) (* z y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-+l+` `fma-def`
2×	`sub-neg` `diff-log` `associate-l` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
4.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* 9.0 t) (* z y))

series302.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* a 27.0) b))
82.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
20.0ms	(* (* a 27.0) b)
33.0ms	(* (* 9.0 t) (* z y))

simplify79.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	413	563
1	2016	495
2	5002	493

prune222.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

regimes665.0ms

Accuracy

68.8% (1.1b remaining)

Error of 1.1b 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	52	28
1	52	28

end0.0ms

sample856.0ms

Algorithm

intervals

Results

463.0ms

11033×

body

valid