Details

sample824.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 74.609375%

Guaranteed chance to sample good point: 54.014423%

Results

12.0ms	177×	body	80	valid
9.0ms	27×	body	640	valid
7.0ms	10×	body	1280	valid
5.0ms	26×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	8×	body	80	nan
0.0ms	2×	body	80	invalid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune5.0ms

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: 9.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
4.7b	(log (- 1.0 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`log-pow` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 70

Calls

3 calls:

6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series21.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify34.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	340	429
1	1217	375
2	5001	353

prune123.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	6	80

Merged error: 0.0b

Counts

80 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
0.3b	(* x (log y))
7.8b	(* z (pow y 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`log-prod`
17×	`add-cbrt-cube`
13×	`add-log-exp`
12×	`div-exp`
9×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-l`
8×	`pow-to-exp` `associate-+r+` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`associate-+l+` `associate--l+` `cbrt-unprod` `unswap-sqr`
4×	`sum-log`
3×	`*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `diff-log` `pow-prod-down`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `associate-*r/` `log-pow` `flip-+` `div-inv`

Counts

4 → 122

Calls

4 calls:

10.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
11.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
4.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

series56.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
28.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
7.0ms	(* x (log y))
10.0ms	(* z (pow y 2))

simplify71.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	568	943
1	2410	842
2	5001	842

prune238.0ms

Filtered

85 candidates to 134 candidates (-57.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	133	7	140

Merged error: 0.0b

Counts

140 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)
4.7b	(log (- 1.0 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `associate-+l+`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`associate-+r+`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series73.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
22.0ms	(cbrt y)
22.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	431	668
1	1252	584
2	5001	529

prune180.0ms

Filtered

86 candidates to 98 candidates (-14.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sqrt y))
0.7b	(cbrt (sqrt y))
0.7b	(cbrt y)
4.7b	(log (- 1.0 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
6×	`sqrt-prod`
5×	`pow1` `add-exp-log` `log-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`log-div`
1×	`flip3--` `rem-log-exp` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt (sqrt y))
16.0ms	(cbrt (sqrt y))
24.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify68.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	259	338
1	664	310
2	2451	271
3	5001	264

prune95.0ms

Filtered

50 candidates to 67 candidates (-34.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

regimes316.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 74.609375%

Guaranteed chance to sample good point: 54.014423%

Results

378.0ms	5514×	body	80	valid
322.0ms	908×	body	640	valid
277.0ms	407×	body	1280	valid
159.0ms	709×	body	320	valid
64.0ms	462×	body	160	valid
10.0ms	146×	body	80	nan
2.0ms	35×	body	80	invalid

Details

sample824.0ms

simplify21.0ms

prune5.0ms

localize11.0ms

rewrite15.0ms

series21.0ms

simplify34.0ms

prune123.0ms

localize21.0ms

rewrite36.0ms

series56.0ms

simplify71.0ms

prune238.0ms

localize20.0ms

rewrite19.0ms

series73.0ms

simplify44.0ms

prune180.0ms

localize23.0ms

rewrite9.0ms

series59.0ms

simplify68.0ms

prune95.0ms

regimes316.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling