Details

sample38.0ms

Algorithm

intervals

Results

20.0ms

337×

body

valid

simplify110.0ms

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: 3.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
6.8b	(* (* (* y 9.0) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series212.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
24.0ms	(* (* a 27.0) b)
26.0ms	(* (* (* y 9.0) z) t)

simplify77.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5002	383

prune188.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.0b

Counts

85 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
0.2b	(* 27.0 (* a b))
0.2b	(* (* y 9.0) z)
6.8b	(* (* (* 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`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
20.0ms	(* 27.0 (* a b))
18.0ms	(* (* y 9.0) z)
29.0ms	(* (* (* y 9.0) z) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	319	384
1	1527	325
2	5002	325

prune162.0ms

Filtered

81 candidates to 46 candidates (56.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.2b	(* 27.0 (* a b))
6.8b	(* t (* z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

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

series156.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
28.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* 27.0 (* a b))
29.0ms	(* t (* z y))

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	289	380
1	1155	321
2	5001	321

prune168.0ms

Filtered

81 candidates to 46 candidates (56.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	80	9	89

Merged error: 0.0b

Counts

89 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* a b))
0.3b	(* (cbrt 9.0) (* t (* z y)))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
6.8b	(* t (* z y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1` `add-exp-log`
38×	`add-cbrt-cube`
36×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `add-log-exp`
3×	`cbrt-prod`

Counts

4 → 94

Calls

4 calls:

4.0ms	(* 27.0 (* a b))
11.0ms	(* (cbrt 9.0) (* t (* z y)))
13.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
5.0ms	(* t (* z y))

series206.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 27.0 (* a b))
73.0ms	(* (cbrt 9.0) (* t (* z y)))
86.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
26.0ms	(* t (* z y))

simplify69.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	361	663
1	1500	473
2	5001	436

prune186.0ms

Filtered

106 candidates to 51 candidates (48.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

regimes651.0ms

Accuracy

80.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	35
1	56	35

end0.0ms

sample925.0ms

Algorithm

intervals

Results

542.0ms

10955×

body

valid