Details

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 60%

Results

16.0ms	18×	body	1280	valid
12.0ms	171×	body	80	valid
10.0ms	26×	body	640	valid
6.0ms	25×	body	320	valid
6.0ms	78×	body	80	nan
2.0ms	16×	body	160	valid

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

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: 10.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.0b	(log (- 1.0 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
5.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
11.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	458	643
1	1650	563
2	5002	529

prune156.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	5	99

Merged error: 0.1b

Counts

99 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (* z y)) (* 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)))))) t)
0.3b	(* x (log y))
8.2b	(* z (pow y 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`add-log-exp`
13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`log-prod` `diff-log` `associate-l`
5×	`sum-log` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`+-commutative` `associate--l-` `pow-to-exp` `associate-+r-` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `pow-exp` `associate--l+` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ (* 1.0 (* z y)) (* 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)))))) t)
4.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

series69.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
40.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
7.0ms	(* x (log y))
7.0ms	(* z (pow y 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	433	822
1	1787	733
2	5002	704

prune206.0ms

Filtered

61 candidates to 94 candidates (-54.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	90	9	99

Merged error: 0.1b

Counts

99 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
8.2b	(* z (pow y 2))
8.2b	(* z (pow y 2))
8.2b	(* z (pow y 2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
19×	`add-exp-log`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`unpow-prod-down` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`associate-l` `prod-exp`
6×	`unpow2` `sqr-pow`
5×	`cbrt-prod`
4×	`pow1` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

10.0ms	(cbrt (- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
6.0ms	(* z (pow y 2))
8.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series279.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
7.0ms	(* z (pow y 2))
7.0ms	(* z (pow y 2))
8.0ms	(* z (pow y 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	324	803
1	1112	723
2	5002	706

prune536.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	105	12	117

Merged error: 0.1b

Counts

117 → 12

localize31.0ms

Local error

Found 4 expressions with local error:

8.2b	(* z (pow y 2))
8.2b	(* z (pow y 2))
8.2b	(* z (pow y 2))
8.2b	(* z (pow y 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
16×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
12×	`associate-l` `prod-exp` `add-cbrt-cube`
8×	`unpow2` `sqr-pow`
4×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
7.0ms	(* z (pow y 2))
7.0ms	(* z (pow y 2))

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	107	408
1	404	348
2	1988	348
3	5002	344

prune851.0ms

Filtered

72 candidates to 120 candidates (-66.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	120	12	132

Merged error: 0.1b

Counts

132 → 12

regimes542.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 60%

Results

390.0ms	5502×	body	80	valid
320.0ms	868×	body	640	valid
288.0ms	423×	body	1280	valid
174.0ms	747×	body	320	valid
137.0ms	1937×	body	80	nan
70.0ms	492×	body	160	valid

Details

sample1.0s

simplify21.0ms

prune4.0ms

localize11.0ms

rewrite22.0ms

series39.0ms

simplify46.0ms

prune156.0ms

localize19.0ms

rewrite27.0ms

series69.0ms

simplify56.0ms

prune206.0ms

localize27.0ms

rewrite33.0ms

series279.0ms

simplify42.0ms

prune536.0ms

localize31.0ms

rewrite27.0ms

series26.0ms

simplify76.0ms

prune851.0ms

regimes542.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

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