Details

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.71875%

Guaranteed chance to sample good point: 44.524336%

Results

22.0ms	37×	body	1280	valid
18.0ms	50×	body	640	valid
13.0ms	123×	body	80	valid
6.0ms	26×	body	320	valid
3.0ms	11×	body	640	nan
3.0ms	48×	body	80	overflowed
3.0ms	19×	body	160	valid
2.0ms	2×	body	2560	valid
2.0ms	34×	body	80	nan
0.0ms	2×	body	320	nan
0.0ms	3×	body	160	nan

simplify215.0ms

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: 23.1b

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)
2.0b	(+ (- 1.0 y) (* y (exp z)))
2.9b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite25.0ms

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

series67.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
38.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
9.0ms	(+ (- 1.0 y) (* y (exp z)))
14.0ms	(log (+ (- 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

prune166.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 4.2b

Counts

93 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
2.8b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

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

series73.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
6.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
21.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	402	953
1	1641	882
2	5001	876

prune222.0ms

Filtered

66 candidates to 89 candidates (-34.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	83	13	96

Merged error: 4.1b

Counts

96 → 13

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.1b	(/ (* z y) t)

rewrite15.0ms

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:

10.0ms	(- 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 (5.0ms)

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

prune112.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	42	14	56

Merged error: 3.4b

Counts

56 → 14

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
4.6b	(/ z (/ t y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 86

Calls

2 calls:

15.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
6.0ms	(/ z (/ t y))

series26.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
6.0ms	(/ z (/ t y))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	431	653
1	1704	618
2	5001	617

prune108.0ms

Filtered

73 candidates to 92 candidates (-26.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	95	11	106

Merged error: 3.4b

Counts

106 → 11

regimes975.0ms

Accuracy

66.5% (4.4b remaining)

Error of 7.8b against oracle of 3.3b and baseline of 16.5b

bsearch89.0ms

Steps

Iters	Range		Point
7	7.558501420362544e-134	4.142319313225199e-132	1.4219674450745225e-132
6	-0.0007847244422099917	-0.00018390156386416634	-0.00019391797682074183

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	23
1	49	23

end0.0ms

sample5.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.71875%

Guaranteed chance to sample good point: 44.524336%

Results

821.0ms	1383×	body	1280	valid
528.0ms	1513×	body	640	valid
280.0ms	3661×	body	80	valid
205.0ms	882×	body	320	valid
100.0ms	76×	body	2560	valid
92.0ms	1506×	body	80	overflowed
76.0ms	516×	body	160	valid
67.0ms	256×	body	640	nan
53.0ms	1043×	body	80	nan
38.0ms	107×	body	1280	nan
35.0ms	201×	body	320	nan
15.0ms	110×	body	160	nan

Details

sample3.0s

simplify215.0ms

prune4.0ms

localize10.0ms

rewrite25.0ms

series67.0ms

simplify49.0ms

prune166.0ms

localize13.0ms

rewrite27.0ms

series73.0ms

simplify51.0ms

prune222.0ms

localize9.0ms

rewrite15.0ms

series22.0ms

simplify79.0ms

prune112.0ms

localize10.0ms

rewrite24.0ms

series26.0ms

simplify45.0ms

prune108.0ms

regimes975.0ms

bsearch89.0ms

simplify1.0ms

end0.0ms

sample5.7s

Profiling