Details

sample904.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 77.550551%

Results

11.0ms	256×	body	80	valid
1.0ms	17×	body	80	nan
0.0ms	1×	body	80	invalid

simplify140.0ms

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

7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series261.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(- x (* (+ y 0.5) (log y)))
215.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms	(* (+ y 0.5) (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (42.0ms)

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

prune129.0ms

Filtered

67 candidates to 93 candidates (-38.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize14.0ms

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)))

rewrite33.0ms

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)
8.0ms	(* (sqrt (+ y 0.5)) (log y))
12.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- 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)
12.0ms	(* (sqrt (+ y 0.5)) (log y))
21.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (63.0ms)

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

prune216.0ms

Filtered

88 candidates to 126 candidates (-43.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	124	9	133

Merged error: 0.0b

Counts

133 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

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

series149.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (cbrt (log y)) (cbrt (log y)))
35.0ms	(cbrt (log y))
37.0ms	(cbrt (log y))
36.0ms	(cbrt (log y))

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	127	502
1	388	461
2	1756	389
3	5001	367

prune101.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ y 0.5))
0.3b	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
0.3b	(* (cbrt (+ y 0.5)) (log y))
0.7b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
40×	`*-un-lft-identity`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
34×	`add-sqr-sqrt`
33×	`cbrt-prod`
32×	`frac-times`
26×	`pow1`
22×	`add-cube-cbrt`
20×	`add-exp-log`
18×	`log-prod`
15×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
12×	`associate-r`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 159

Calls

4 calls:

3.0ms	(cbrt (+ y 0.5))
17.0ms	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
7.0ms	(* (cbrt (+ y 0.5)) (log y))
10.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ y 0.5))
20.0ms	(* (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))) (* (cbrt (+ y 0.5)) (log y)))
15.0ms	(* (cbrt (+ y 0.5)) (log y))
7.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify98.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	942	2125
1	3434	1811
2	5002	1679

prune273.0ms

Filtered

96 candidates to 171 candidates (-78.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	171	9	180

Merged error: 0.0b

Counts

180 → 9

regimes395.0ms

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

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 46.875%

Guaranteed chance to sample good point: 77.550551%

Results

363.0ms	7995×	body	80	valid
17.0ms	487×	body	80	nan
2.0ms	40×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample904.0ms

simplify140.0ms

prune4.0ms

localize9.0ms

rewrite24.0ms

series261.0ms

simplify50.0ms

prune129.0ms

localize14.0ms

rewrite33.0ms

series56.0ms

simplify76.0ms

prune216.0ms

localize13.0ms

rewrite13.0ms

series149.0ms

simplify64.0ms

prune101.0ms

localize13.0ms

rewrite45.0ms

series49.0ms

simplify98.0ms

prune273.0ms

regimes395.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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