Details

sample524.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 50.073206%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

15.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4938	6
10	5002	6

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series57.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
18.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	475	684
1	1731	613
2	5002	594

prune118.0ms

Filtered

67 candidates to 93 candidates (-38.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
0.0b	(+ x (- y (* (log y) (+ y 0.5))))
0.1b	(- y (* (log y) (+ y 0.5)))
0.2b	(* (log y) (+ y 0.5))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
15×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-exp-log` `add-cube-cbrt` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`distribute-rgt-in` `associate-+r-` `associate-+r+` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `flip--` `flip-+` `associate--r+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

10.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
4.0ms	(+ x (- y (* (log y) (+ y 0.5))))
3.0ms	(- y (* (log y) (+ y 0.5)))
6.0ms	(* (log y) (+ y 0.5))

series81.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
10.0ms	(+ x (- y (* (log y) (+ y 0.5))))
33.0ms	(- y (* (log y) (+ y 0.5)))
20.0ms	(* (log y) (+ y 0.5))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	437	605
1	1779	551
2	5001	534

prune103.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

9.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series212.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
104.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
23.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	692	1155
1	2432	1025
2	5003	966

prune163.0ms

Filtered

87 candidates to 120 candidates (-37.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	118	8	126

Merged error: 0b

Counts

126 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`pow1/3` `associate-r`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

6.0ms	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
5.0ms	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series211.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
59.0ms	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
23.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify49.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	371	570
1	1416	499
2	5002	438

prune90.0ms

Filtered

54 candidates to 72 candidates (-33.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	72	8	80

Merged error: 0b

Counts

80 → 8

regimes261.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 50.073206%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

361.0ms	8000×	body	80	valid
1.0ms	32×	body	80	invalid

Details

sample524.0ms

simplify149.0ms

prune4.0ms

localize9.0ms

rewrite25.0ms

series57.0ms

simplify50.0ms

prune118.0ms

localize9.0ms

rewrite25.0ms

series81.0ms

simplify50.0ms

prune103.0ms

localize15.0ms

rewrite28.0ms

series212.0ms

simplify72.0ms

prune163.0ms

localize15.0ms

rewrite16.0ms

series211.0ms

simplify49.0ms

prune90.0ms

regimes261.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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