Details

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 67.502597%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

18.0ms	233×	body	80	valid
11.0ms	139×	body	80	nan
11.0ms	136×	body	80	invalid
2.0ms	8×	body	320	valid
2.0ms	5×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	8×	body	160	valid
1.0ms	3×	body	640	invalid
1.0ms	2×	body	320	invalid
0.0ms	3×	body	160	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune8.0ms

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: 0.7b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
6.3b	(log (- 1.0 z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-r/` `associate-r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `flip3--` `associate-l` `flip--` `add-log-exp`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `sum-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
11.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
7.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series124.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
67.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
13.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify69.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	698	1103
1	2731	1014
2	5002	988

prune210.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	4	120

Merged error: 0b

Counts

120 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.2b	(* y (- (log z) t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate--l+`
28×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
18×	`add-cube-cbrt`
17×	`associate-r`
14×	`associate-+r+`
12×	`pow1` `sub-neg` `associate-*r/`
10×	`associate-+l+` `add-cbrt-cube`
9×	`add-exp-log` `associate-l`
7×	`distribute-lft-out--`
6×	`flip3--` `flip--` `add-log-exp`
4×	`frac-add`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`log-pow` `difference-of-squares`
1×	`+-commutative` `flip3-+` `exp-sum` `sum-log` `flip-+`

Counts

4 → 129

Calls

4 calls:

23.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
19.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
21.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
7.0ms	(* y (- (log z) t))

series182.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
21.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
92.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
14.0ms	(* y (- (log z) t))

simplify85.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	690	1916
1	2944	1773
2	5002	1755

prune361.0ms

Filtered

92 candidates to 141 candidates (-53.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	141	4	145

Merged error: 0b

Counts

145 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (* y (- (log z) t)))
6.3b	(cbrt (* y (- (log z) t)))
6.3b	(cbrt (* y (- (log z) t)))
6.3b	(log (- 1.0 z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

5.0ms	(cbrt (* y (- (log z) t)))
5.0ms	(cbrt (* y (- (log z) t)))
5.0ms	(cbrt (* y (- (log z) t)))
3.0ms	(log (- 1.0 z))

series120.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (* y (- (log z) t)))
41.0ms	(cbrt (* y (- (log z) t)))
38.0ms	(cbrt (* y (- (log z) t)))
3.0ms	(log (- 1.0 z))

simplify41.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	449	1032
1	1517	995
2	5001	825

prune383.0ms

Filtered

54 candidates to 61 candidates (-13.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Merged error: 0b

Counts

65 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.3b	(log (- 1.0 z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
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 → 49

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(log (- 1.0 z))

series70.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)
3.0ms	(log (- 1.0 z))

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	188	258
1	459	236
2	1493	201
3	5001	198

prune93.0ms

Filtered

48 candidates to 61 candidates (-27.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	61	4	65

Merged error: 0b

Counts

65 → 4

regimes855.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 67.502597%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

586.0ms	7243×	body	80	valid
381.0ms	4715×	body	80	invalid
377.0ms	4599×	body	80	nan
105.0ms	253×	body	640	valid
73.0ms	269×	body	320	valid
50.0ms	114×	body	640	invalid
39.0ms	49×	body	1280	valid
35.0ms	137×	body	320	invalid
34.0ms	186×	body	160	valid
16.0ms	88×	body	160	invalid
15.0ms	20×	body	1280	invalid

Details

sample2.4s

simplify35.0ms

prune8.0ms

localize15.0ms

rewrite37.0ms

series124.0ms

simplify69.0ms

prune210.0ms

localize22.0ms

rewrite75.0ms

series182.0ms

simplify85.0ms

prune361.0ms

localize21.0ms

rewrite18.0ms

series120.0ms

simplify41.0ms

prune383.0ms

localize19.0ms

rewrite8.0ms

series70.0ms

simplify44.0ms

prune93.0ms

regimes855.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling