Details

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 21.247751%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

32.0ms	49×	body	1280	valid
25.0ms	55×	body	640	valid
8.0ms	101×	body	80	valid
8.0ms	30×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	19×	body	160	valid
2.0ms	8×	body	640	nan
1.0ms	24×	body	80	nan
1.0ms	14×	body	80	overflowed
1.0ms	5×	body	320	nan
1.0ms	2×	body	1280	nan
0.0ms	1×	body	160	nan

simplify212.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	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: 27.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.0b	(log (+ (- 1.0 y) (* y (exp z))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
42.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
14.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5002	726

prune150.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 4.5b

Counts

93 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
3.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.1b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

5.0ms	(* 0.5 (pow z 2))
7.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series71.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 0.5 (pow z 2))
30.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
16.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
22.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	460	952
1	1914	882
2	5001	882

prune236.0ms

Filtered

73 candidates to 105 candidates (-43.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	98	12	110

Merged error: 4.4b

Counts

110 → 12

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.5b	(/ (* z y) t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

11.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series22.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.0ms	(/ (* z y) t)

simplify79.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune114.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	37	6	43
Fresh	5	5	10
Picked	1	0	1
Done	0	1	1
Total	43	12	55

Merged error: 4.1b

Counts

55 → 12

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
4.9b	(* z (/ y t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1`
3×	`associate-l`
2×	`diff-log` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip--` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 48

Calls

2 calls:

10.0ms	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
6.0ms	(* z (/ y t))

series22.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- x (+ (* 1.0 (* z (/ y t))) (/ (log 1.0) t)))
5.0ms	(* z (/ y t))

simplify106.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	272	334
1	1124	304
2	4767	304
3	5002	304

prune70.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	52	14	66

Merged error: 4.1b

Counts

66 → 14

regimes1.2s

Accuracy

61.7% (4.8b remaining)

Error of 8.5b against oracle of 3.7b and baseline of 16.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	30
1	36	30

end0.0ms

sample5.7s

Algorithm

intervals

sampling

Space saved by range analysis: 21.247751%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

873.0ms	1495×	body	1280	valid
547.0ms	1589×	body	640	valid
259.0ms	3446×	body	80	valid
197.0ms	885×	body	320	valid
123.0ms	96×	body	2560	valid
66.0ms	489×	body	160	valid
64.0ms	254×	body	640	nan
42.0ms	873×	body	80	nan
41.0ms	115×	body	1280	nan
34.0ms	207×	body	320	nan
27.0ms	504×	body	80	overflowed
12.0ms	111×	body	160	nan
1.0ms	20×	body	80	invalid
0.0ms	1×	body	640	invalid

Details

sample3.2s

simplify212.0ms

prune4.0ms

localize10.0ms

rewrite26.0ms

series68.0ms

simplify49.0ms

prune150.0ms

localize13.0ms

rewrite27.0ms

series71.0ms

simplify58.0ms

prune236.0ms

localize10.0ms

rewrite17.0ms

series22.0ms

simplify79.0ms

prune114.0ms

localize10.0ms

rewrite18.0ms

series22.0ms

simplify106.0ms

prune70.0ms

regimes1.2s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample5.7s

Profiling