Details

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 2.240021%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

18.0ms	256×	body	80	valid
4.0ms	83×	body	80	invalid

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

prune4.0ms

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: 2.4b

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	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
6.0b	(* (* (* 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` `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:

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

series49.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
3.0ms	(* (* a 27.0) b)
3.0ms	(* (* y 9.0) z)
6.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune127.0ms

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	(- (* 27.0 (* a b)) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.0b	(* (* (* 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)

series31.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

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

prune105.0ms

Filtered

46 candidates to 81 candidates (-76.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.3b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
6.0b	(* t (* z y))

rewrite23.0ms

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:

6.0ms	(- (* 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))

series34.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (* 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))

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

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

prune96.0ms

Filtered

46 candidates to 81 candidates (-76.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
0.0b	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
0.3b	(* 27.0 (* a b))
6.1b	(* (* 9.0 t) (* z y))

rewrite21.0ms

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

Counts

4 → 67

Calls

4 calls:

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

series64.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x 2.0) (- (* 27.0 (* a b)) (* (* 9.0 t) (* z y))))
18.0ms	(- (* 27.0 (* a b)) (* (* 9.0 t) (* z y)))
3.0ms	(* 27.0 (* a b))
6.0ms	(* (* 9.0 t) (* z y))

simplify53.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	360	499
1	1535	444
2	5002	444

prune71.0ms

Filtered

47 candidates to 79 candidates (-68.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

regimes1.5s

Accuracy

79.1% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.6b

bsearch135.0ms

Steps

Iters	Range		Point
10	6.610588676216214e+33	1.6560598352712615e+44	9.504002918303983e+33
10	-6.131220236816538e+78	-5.001152826863514e+67	-1.394761878481807e+69

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

end0.0ms

sample4.8s

Algorithm

intervals

sampling

Space saved by range analysis: 2.240021%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

384.0ms	8000×	body	80	valid
145.0ms	2847×	body	80	invalid

Details

sample3.9s

simplify74.0ms

prune4.0ms

localize12.0ms

rewrite22.0ms

series49.0ms

simplify55.0ms

prune127.0ms

localize15.0ms

rewrite21.0ms

series31.0ms

simplify50.0ms

prune105.0ms

localize13.0ms

rewrite23.0ms

series34.0ms

simplify44.0ms

prune96.0ms

localize12.0ms

rewrite21.0ms

series64.0ms

simplify53.0ms

prune71.0ms

regimes1.5s

bsearch135.0ms

simplify2.0ms

end0.0ms

sample4.8s

Profiling