Details

sample95.0ms

Algorithm

intervals

Results

29.0ms	51×	body	1280	valid
18.0ms	46×	body	640	valid
8.0ms	121×	body	80	valid
6.0ms	4×	body	2560	valid
6.0ms	29×	body	320	valid
3.0ms	76×	body	80	nan
3.0ms	43×	body	80	overflowed
3.0ms	11×	body	640	nan
1.0ms	5×	body	320	nan
1.0ms	6×	body	160	valid
0.0ms	4×	body	160	nan
0.0ms	1×	body	1280	nan

simplify213.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 23.6b

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)
0.8b	(+ (- 1.0 y) (* y (exp z)))
1.9b	(log (+ (- 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)
6.0ms	(+ (- 1.0 y) (* y (exp z)))
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
148.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
39.0ms	(+ (- 1.0 y) (* y (exp z)))
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

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

prune241.0ms

Filtered

92 candidates to 68 candidates (73.9%)

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: 5.4b

Counts

93 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
3.8b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.8b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite26.0ms

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:

4.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
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)

series405.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
128.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
86.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
120.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (45.0ms)

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

prune282.0ms

Filtered

89 candidates to 66 candidates (74.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Merged error: 5.3b

Counts

94 → 13

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
6.6b	(/ (* z y) t)

rewrite19.0ms

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:

14.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series107.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify83.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (7.0ms)

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

prune131.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	36	7	43
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	43	13	56

Merged error: 4.4b

Counts

56 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

6.6b	(/ (* z y) t)
18.1b	(cbrt (/ (* z y) t))
18.1b	(cbrt (/ (* z y) t))
18.1b	(cbrt (/ (* z y) t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 69

Calls

4 calls:

4.0ms	(/ (* z y) t)
3.0ms	(cbrt (/ (* z y) t))
3.0ms	(cbrt (/ (* z y) t))
3.0ms	(cbrt (/ (* z y) t))

series269.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z y) t)
84.0ms	(cbrt (/ (* z y) t))
82.0ms	(cbrt (/ (* z y) t))
83.0ms	(cbrt (/ (* z y) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	181	439
1	697	391
2	3119	364
3	5003	361

prune244.0ms

Filtered

81 candidates to 64 candidates (79.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Merged error: 4.4b

Counts

94 → 13

regimes571.0ms

Accuracy

65.4% (4.9b remaining)

Error of 8.5b against oracle of 3.6b and baseline of 17.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	27
1	43	27

end0.0ms

sample2.7s

Algorithm

intervals

Results

812.0ms	1427×	body	1280	valid
515.0ms	1530×	body	640	valid
249.0ms	3590×	body	80	valid
192.0ms	904×	body	320	valid
118.0ms	2455×	body	80	nan
116.0ms	88×	body	2560	valid
82.0ms	1535×	body	80	overflowed
63.0ms	492×	body	160	valid
61.0ms	262×	body	640	nan
36.0ms	107×	body	1280	nan
29.0ms	179×	body	320	nan
9.0ms	84×	body	160	nan

Details

sample95.0ms

simplify213.0ms

prune3.0ms

localize10.0ms

rewrite26.0ms

series281.0ms

simplify54.0ms

prune241.0ms

localize13.0ms

rewrite26.0ms

series405.0ms

simplify56.0ms

prune282.0ms

localize9.0ms

rewrite19.0ms

series107.0ms

simplify83.0ms

prune131.0ms

localize15.0ms

rewrite15.0ms

series269.0ms

simplify72.0ms

prune244.0ms

regimes571.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.7s

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