Details

sample185.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 94.117647%

Results

12.0ms	258×	body	80	valid
1.0ms	17×	body	80	nan

simplify142.0ms

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)
0.1b	(* (+ y 0.5) (log y))

rewrite24.0ms

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)
6.0ms	(* (+ y 0.5) (log y))

series60.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
24.0ms	(* (+ y 0.5) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

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

prune126.0ms

Filtered

67 candidates to 93 candidates (-38.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize14.0ms

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)

rewrite27.0ms

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:

8.0ms	(* (+ 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)

series219.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
108.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
24.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify69.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	692	1152
1	2432	1025
2	5003	966

prune166.0ms

Filtered

87 candidates to 120 candidates (-37.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	121	7	128

Merged error: 0b

Counts

128 → 7

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)

rewrite15.0ms

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)

series218.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
63.0ms	(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
22.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (39.0ms)

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

prune107.0ms

Filtered

54 candidates to 72 candidates (-33.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	72	7	79

Merged error: 0b

Counts

79 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* 1/3 (* (log y) (+ y (* (+ y 0.5) 2)))) (* (log (cbrt y)) 0.5))
0.2b	(* (log y) (+ y (* (+ y 0.5) 2)))
0.5b	(* 1/3 (* (log y) (+ y (* (+ y 0.5) 2))))
0.6b	(cbrt y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(+ (* 1/3 (* (log y) (+ y (* (+ y 0.5) 2)))) (* (log (cbrt y)) 0.5))
7.0ms	(* (log y) (+ y (* (+ y 0.5) 2)))
6.0ms	(* 1/3 (* (log y) (+ y (* (+ y 0.5) 2))))
1.0ms	(cbrt y)

series151.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* 1/3 (* (log y) (+ y (* (+ y 0.5) 2)))) (* (log (cbrt y)) 0.5))
22.0ms	(* (log y) (+ y (* (+ y 0.5) 2)))
24.0ms	(* 1/3 (* (log y) (+ y (* (+ y 0.5) 2))))
22.0ms	(cbrt y)

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	518	747
1	2009	646
2	5002	627

prune107.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes327.0ms

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: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 94.117647%

Results

374.0ms	8042×	body	80	valid
221.0ms	496×	body	80	nan
0.0ms	2×	body	320	valid

Details

sample185.0ms

simplify142.0ms

prune4.0ms

localize9.0ms

rewrite24.0ms

series60.0ms

simplify47.0ms

prune126.0ms

localize14.0ms

rewrite27.0ms

series219.0ms

simplify69.0ms

prune166.0ms

localize15.0ms

rewrite15.0ms

series218.0ms

simplify46.0ms

prune107.0ms

localize18.0ms

rewrite25.0ms

series151.0ms

simplify61.0ms

prune107.0ms

regimes327.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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