Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 46.142578%

Results

12.0ms	172×	body	80	valid
11.0ms	16×	body	1280	valid
9.0ms	25×	body	640	valid
6.0ms	26×	body	320	valid
5.0ms	78×	body	80	nan
2.0ms	17×	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

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: 9.2b

Counts

2 → 1

localize12.0ms

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))

rewrite25.0ms

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)
9.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series37.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

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

prune168.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.1b

Counts

99 → 6

localize20.0ms

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))
6.7b	(* z (pow y 2))

rewrite31.0ms

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

series68.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
38.0ms	(- (+ (* 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))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (45.0ms)

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

prune214.0ms

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	2	3	5
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.1b

Counts

100 → 9

localize30.0ms

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))
6.7b	(* z (pow y 2))
6.7b	(* z (pow y 2))
6.7b	(* z (pow y 2))

rewrite30.0ms

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

series274.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(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))
7.0ms	(* z (pow y 2))

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

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

prune533.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	106	11	117

Merged error: 0.1b

Counts

117 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

6.7b	(* z (pow y 2))
6.7b	(* z (pow y 2))
6.7b	(* z (pow y 2))
6.7b	(* z (pow y 2))

rewrite28.0ms

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:

6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
8.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series26.0ms

Counts

4 → 12

Calls

4 calls:

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

prune864.0ms

Filtered

72 candidates to 120 candidates (-66.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	120	11	131

Merged error: 0.1b

Counts

131 → 11

regimes541.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample3.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 46.142578%

Results

388.0ms	5486×	body	80	valid
311.0ms	850×	body	640	valid
283.0ms	417×	body	1280	valid
171.0ms	751×	body	320	valid
143.0ms	1937×	body	80	nan
70.0ms	496×	body	160	valid
2.0ms	33×	body	80	invalid

Details

sample1.4s

simplify21.0ms

prune5.0ms

localize12.0ms

rewrite25.0ms

series37.0ms

simplify45.0ms

prune168.0ms

localize20.0ms

rewrite31.0ms

series68.0ms

simplify57.0ms

prune214.0ms

localize30.0ms

rewrite30.0ms

series274.0ms

simplify42.0ms

prune533.0ms

localize33.0ms

rewrite28.0ms

series26.0ms

simplify76.0ms

prune864.0ms

regimes541.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.3s

Profiling