Details

sample89.0ms

Algorithm

intervals

Results

28.0ms	48×	body	1280	valid
17.0ms	52×	body	640	valid
8.0ms	114×	body	80	valid
6.0ms	33×	body	320	valid
4.0ms	83×	body	80	nan
4.0ms	43×	body	80	overflowed
3.0ms	2×	body	2560	valid
1.0ms	8×	body	320	nan
1.0ms	6×	body	640	nan
1.0ms	9×	body	160	valid
0.0ms	1×	body	1280	nan
0.0ms	3×	body	160	nan

simplify268.0ms

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: 26.6b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
0.5b	(log (+ (- 1.0 y) (* y (exp z))))
3.0b	(+ (- 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)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
153.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
73.0ms	(log (+ (- 1.0 y) (* y (exp z))))
35.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

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

prune236.0ms

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: 4.8b

Counts

93 → 5

localize12.0ms

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))
2.8b	(* 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:

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

series382.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
24.0ms	(* 0.5 (pow z 2))
85.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
125.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

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

prune320.0ms

Filtered

105 candidates to 73 candidates (69.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	98	12	110

Merged error: 4.7b

Counts

110 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

9.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series111.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
20.0ms	(/ (* z y) t)

simplify84.0ms

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

prune125.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	36	7	43
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	41	14	55

Merged error: 4.0b

Counts

55 → 14

localize9.0ms

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:

12.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
9.0ms	(/ z (/ t y))

series132.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
21.0ms	(/ z (/ t y))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

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

prune219.0ms

Filtered

92 candidates to 73 candidates (79.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	92	14	106

Merged error: 4.0b

Counts

106 → 14

regimes625.0ms

Accuracy

62.4% (5.0b remaining)

Error of 8.8b against oracle of 3.8b and baseline of 17.1b

bsearch65.0ms

Steps

Iters	Range		Point
6	-4.515775859699128e-49	-4.430215495624517e-50	-4.428002266340116e-49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	24
1	32	24

end0.0ms

sample2.8s

Algorithm

intervals

Results

865.0ms	1446×	body	1280	valid
527.0ms	1512×	body	640	valid
253.0ms	3579×	body	80	valid
200.0ms	925×	body	320	valid
128.0ms	89×	body	2560	valid
121.0ms	2522×	body	80	nan
79.0ms	1508×	body	80	overflowed
65.0ms	478×	body	160	valid
62.0ms	238×	body	640	nan
43.0ms	126×	body	1280	nan
31.0ms	194×	body	320	nan
12.0ms	116×	body	160	nan

Details

sample89.0ms

simplify268.0ms

prune3.0ms

localize13.0ms

rewrite25.0ms

series284.0ms

simplify51.0ms

prune236.0ms

localize12.0ms

rewrite27.0ms

series382.0ms

simplify61.0ms

prune320.0ms

localize9.0ms

rewrite14.0ms

series111.0ms

simplify84.0ms

prune125.0ms

localize9.0ms

rewrite24.0ms

series132.0ms

simplify51.0ms

prune219.0ms

regimes625.0ms

bsearch65.0ms

simplify2.0ms

end0.0ms

sample2.8s

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