Details

analyze493.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 50.073206%

Guaranteed chance to sample good point: 84.698486%

sample23.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

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

prune3.0ms

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 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

4.0ms	(- x (* (+ y 0.5) (log y)))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series44.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- x (* (+ y 0.5) (log y)))
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms	(* (+ y 0.5) (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	388	492
1	1420	429
2	5002	404

prune90.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize17.0ms

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)

rewrite29.0ms

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))))
13.0ms	(+ (* (+ 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:

64.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
111.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (58.0ms)

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

prune160.0ms

Filtered

87 candidates to 120 candidates (-37.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	6	125

Merged error: 0.0b

Counts

125 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.3b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
27×	`distribute-rgt-in` `distribute-lft-in`
25×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
14×	`sqrt-div` `associate-l`
12×	`pow1` `associate--r+`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
9×	`sqrt-prod`
8×	`flip3-+` `flip-+`
5×	`associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`sub-neg` `associate-+l+` `diff-log` `associate-r/` `sum-log` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3--` `log-pow` `flip--`

Counts

4 → 114

Calls

4 calls:

4.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
5.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
13.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
8.0ms	(* (sqrt (+ y 0.5)) (log y))

series55.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
11.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
23.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
11.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify77.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	774	1257
1	2952	1080
2	5002	1038

prune199.0ms

Filtered

88 candidates to 126 candidates (-43.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
0.4b	(* (sqrt (+ y 0.5)) (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`cbrt-prod`
23×	`add-cube-cbrt`
14×	`associate-l`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-prod`
6×	`associate-r`
4×	`sqrt-div` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `log-pow` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
8.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series88.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
18.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
24.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify77.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	738	1281
1	2760	1210
2	5001	1144

prune227.0ms

Filtered

75 candidates to 121 candidates (-61.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

regimes309.0ms

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

analyze498.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 50.073206%

Guaranteed chance to sample good point: 84.698486%

sample542.0ms

Algorithm

intervals

Results

354.0ms	7998×	body	80	valid
1.0ms	35×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze493.0ms

sample23.0ms

simplify142.0ms

prune3.0ms

localize9.0ms

rewrite17.0ms

series44.0ms

simplify42.0ms

prune90.0ms

localize17.0ms

rewrite29.0ms

series219.0ms

simplify72.0ms

prune160.0ms

localize11.0ms

rewrite34.0ms

series55.0ms

simplify77.0ms

prune199.0ms

localize18.0ms

rewrite25.0ms

series88.0ms

simplify77.0ms

prune227.0ms

regimes309.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze498.0ms

sample542.0ms

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