Details

sample398.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 41.509295%

Guaranteed chance to sample good point: 42.741834%

Results

16.0ms	305×	body	80	nan
13.0ms	258×	body	80	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.3b	(* x (log y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series42.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (- (* x (log y)) y) z)
10.0ms	(- (* x (log y)) y)
13.0ms	(+ (- (- (* x (log y)) y) z) (log t))
10.0ms	(* x (log y))

simplify87.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	403	637
1	1259	592
2	4208	548
3	5002	548

prune129.0ms

Filtered

76 candidates to 110 candidates (-44.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* 2 (log (cbrt t))) (* x (log y))) (+ y z)) (log (cbrt t)))
0.3b	(* x (log y))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

13.0ms	(+ (- (+ (* 2 (log (cbrt t))) (* x (log y))) (+ y z)) (log (cbrt t)))
4.0ms	(* x (log y))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series86.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (- (+ (* 2 (log (cbrt t))) (* x (log y))) (+ y z)) (log (cbrt t)))
7.0ms	(* x (log y))
23.0ms	(cbrt t)
25.0ms	(cbrt t)

simplify33.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	357	661
1	1202	597
2	5001	503

prune99.0ms

Filtered

59 candidates to 90 candidates (-52.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Merged error: 0.0b

Counts

95 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

7.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (* 2 (log (cbrt y))))
20.0ms	(* x (log (cbrt y)))
23.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify118.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	317	680
1	1171	607
2	4308	566
3	5001	542

prune127.0ms

Filtered

62 candidates to 108 candidates (-74.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
4.0ms	(cbrt (* (cbrt y) (cbrt y)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
23.0ms	(cbrt y)
33.0ms	(cbrt (cbrt y))
36.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify201.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	147	266
1	289	242
2	847	200
3	4355	187
4	5001	187

prune81.0ms

Filtered

45 candidates to 57 candidates (-26.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	57	5	62

Merged error: 0b

Counts

62 → 5

regimes394.0ms

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	19	11
1	19	11

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 41.509295%

Guaranteed chance to sample good point: 42.741834%

Results

496.0ms	10785×	body	80	nan
441.0ms	8021×	body	80	valid
0.0ms	1×	body	320	valid

Details

sample398.0ms

simplify28.0ms

prune4.0ms

localize10.0ms

rewrite30.0ms

series42.0ms

simplify87.0ms

prune129.0ms

localize14.0ms

rewrite22.0ms

series86.0ms

simplify33.0ms

prune99.0ms

localize16.0ms

rewrite19.0ms

series87.0ms

simplify118.0ms

prune127.0ms

localize23.0ms

rewrite9.0ms

series116.0ms

simplify201.0ms

prune81.0ms

regimes394.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling