Details

sample821.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 82.806756%

Results

11.0ms	256×	body	80	valid
1.0ms	20×	body	80	nan
0.0ms	1×	body	80	invalid

simplify143.0ms

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))

rewrite16.0ms

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:

3.0ms	(- x (* (+ y 0.5) (log y)))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series42.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms	(* (+ y 0.5) (log y))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

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

prune103.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

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)
0.4b	(* (sqrt (+ y 0.5)) (log y))
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

rewrite32.0ms

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)
7.0ms	(* (sqrt (+ y 0.5)) (log y))
12.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 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)
11.0ms	(* (sqrt (+ y 0.5)) (log y))
23.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (63.0ms)

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

prune211.0ms

Filtered

87 candidates to 126 candidates (-44.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	125	8	133

Merged error: 0.0b

Counts

133 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune146.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log (cbrt y))))
0.4b	(* (sqrt (+ y 0.5)) (log (cbrt y)))
0.5b	(cbrt y)
5.9b	(pow y 2/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`cbrt-prod`
14×	`sqrt-div` `associate-l`
13×	`pow1`
12×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-*l/`
9×	`sqrt-prod`
7×	`flip3-+` `flip-+`
6×	`associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow1/3` `associate-r/` `log-pow` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 121

Calls

4 calls:

13.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log (cbrt y))))
8.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series121.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log (cbrt y))))
18.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
23.0ms	(cbrt y)
20.0ms	(pow y 2/3)

simplify72.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	676	1192
1	2601	1083
2	5001	993

prune222.0ms

Filtered

76 candidates to 133 candidates (-75.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	133	7	140

Merged error: 0.0b

Counts

140 → 7

regimes342.0ms

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

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 82.806756%

Results

348.0ms	7998×	body	80	valid
21.0ms	503×	body	80	nan
2.0ms	39×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

sample821.0ms

simplify143.0ms

prune3.0ms

localize9.0ms

rewrite16.0ms

series42.0ms

simplify41.0ms

prune103.0ms

localize11.0ms

rewrite32.0ms

series53.0ms

simplify77.0ms

prune211.0ms

localize23.0ms

rewrite11.0ms

series90.0ms

simplify74.0ms

prune146.0ms

localize24.0ms

rewrite28.0ms

series121.0ms

simplify72.0ms

prune222.0ms

regimes342.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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