Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

361×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

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: 2.9b

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)
0.2b	(* (* a 27.0) b)
5.3b	(* (* (* y 9.0) z) t)

rewrite195.0ms

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))
4.0ms	(* (* y 9.0) z)
177.0ms	(* (* a 27.0) b)
6.0ms	(* (* (* y 9.0) z) t)

series46.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
3.0ms	(* (* y 9.0) z)
3.0ms	(* (* a 27.0) b)
6.0ms	(* (* (* y 9.0) z) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune141.0ms

Filtered

49 candidates to 84 candidates (-71.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	73	11	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	11	85

Merged error: 0.0b

Counts

85 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
5.3b	(* (* (* 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-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	(* (* y 9.0) z)
4.0ms	(* 27.0 (* a b))
6.0ms	(* (* (* y 9.0) z) t)

series32.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
3.0ms	(* (* y 9.0) z)
5.0ms	(* 27.0 (* a b))
6.0ms	(* (* (* y 9.0) z) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

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

prune109.0ms

Filtered

46 candidates to 81 candidates (-76.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 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)))
0.3b	(* 27.0 (* a b))
5.3b	(* 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))

series35.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
6.0ms	(* 9.0 (* t (* z y)))
3.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

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

prune94.0ms

Filtered

46 candidates to 81 candidates (-76.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.3b	(* 27.0 (* a b))
5.4b	(* (* 9.0 t) (* z y))

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-l*`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 52

Calls

3 calls:

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
3.0ms	(* 27.0 (* a b))
6.0ms	(* (* 9.0 t) (* z y))

simplify46.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	274	321
1	1186	270
2	5001	270

prune52.0ms

Filtered

32 candidates to 61 candidates (-90.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

regimes1.5s

Accuracy

84.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	30
1	54	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

553.0ms

10983×

body

valid

Details

sample48.0ms

simplify74.0ms

prune5.0ms

localize12.0ms

rewrite195.0ms

series46.0ms

simplify57.0ms

prune141.0ms

localize12.0ms

rewrite21.0ms

series32.0ms

simplify49.0ms

prune109.0ms

localize12.0ms

rewrite21.0ms

series35.0ms

simplify42.0ms

prune94.0ms

localize15.0ms

rewrite16.0ms

series28.0ms

simplify46.0ms

prune52.0ms

regimes1.5s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

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