Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

sample40.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
6.0ms	99×	body	80	invalid

simplify83.0ms

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

prune6.0ms

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: 3.9b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.4b	(* (* y 9.0) z)
6.7b	(* (* (* 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` `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:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
4.0ms	(* (* a 27.0) b)
4.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5001	383

prune149.0ms

Filtered

49 candidates to 84 candidates (-71.4%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
6.1b	(* (* y 9.0) (* z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

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

series74.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
45.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
4.0ms	(* (* a 27.0) b)
8.0ms	(* (* y 9.0) (* z t))

simplify70.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	385	495
1	1778	438
2	5001	438

prune140.0ms

Filtered

49 candidates to 79 candidates (-61.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
0.2b	(* 9.0 (* z t))
0.2b	(* (* a 27.0) b)
5.7b	(* y (* 9.0 (* z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
4.0ms	(* 9.0 (* z t))
4.0ms	(* (* a 27.0) b)
8.0ms	(* y (* 9.0 (* z t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	357	453
1	1674	381
2	5002	381

prune256.0ms

Filtered

51 candidates to 84 candidates (-64.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
0.2b	(* (* 9.0 z) t)
0.2b	(* (* a 27.0) b)
5.7b	(* y (* (* 9.0 z) t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
5.0ms	(* (* 9.0 z) t)
4.0ms	(* (* a 27.0) b)
7.0ms	(* y (* (* 9.0 z) t))

series47.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
3.0ms	(* (* 9.0 z) t)
4.0ms	(* (* a 27.0) b)
6.0ms	(* y (* (* 9.0 z) t))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	368	455
1	1884	383
2	5001	383

prune76.0ms

Filtered

51 candidates to 84 candidates (-64.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

regimes2.1s

Accuracy

83.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	28
1	50	28

end0.0ms

analyze1.8s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

sample1.1s

Algorithm

intervals

Results

470.0ms	8000×	body	80	valid
191.0ms	3010×	body	80	invalid

Details

analyze1.5s

sample40.0ms

simplify83.0ms

prune6.0ms

localize15.0ms

rewrite31.0ms

series58.0ms

simplify64.0ms

prune149.0ms

localize15.0ms

rewrite26.0ms

series74.0ms

simplify70.0ms

prune140.0ms

localize15.0ms

rewrite32.0ms

series58.0ms

simplify60.0ms

prune256.0ms

localize15.0ms

rewrite26.0ms

series47.0ms

simplify57.0ms

prune76.0ms

regimes2.1s

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze1.8s

sample1.1s

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