Details

sample106.0ms

Algorithm

intervals

Results

27.0ms	44×	body	1280	valid
15.0ms	45×	body	640	valid
9.0ms	118×	body	80	valid
7.0ms	9×	body	640	nan
6.0ms	26×	body	320	valid
4.0ms	73×	body	80	nan
3.0ms	23×	body	160	valid
3.0ms	52×	body	80	overflowed
3.0ms	8×	body	1280	nan
2.0ms	1×	body	2560	valid
1.0ms	5×	body	320	nan
0.0ms	3×	body	160	nan

simplify238.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 25.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.5b	(log (+ (- 1.0 y) (* y (exp z))))
3.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite27.0ms

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)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* y (exp z))
39.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
18.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (48.0ms)

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

prune168.0ms

Filtered

92 candidates to 68 candidates (26.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 4.3b

Counts

93 → 6

localize14.0ms

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))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.3b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite31.0ms

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))
8.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
9.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series70.0ms

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))
15.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
22.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (15.0ms)

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

prune252.0ms

Filtered

105 candidates to 73 candidates (30.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	100	11	111

Merged error: 4.2b

Counts

111 → 11

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.8b	(/ (* z y) t)

rewrite16.0ms

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)))
5.0ms	(/ (* z y) t)

series26.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.0ms	(/ (* z y) t)

simplify93.0ms

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

prune126.0ms

Filtered

43 candidates to 29 candidates (32.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	40	14	54

Merged error: 3.9b

Counts

54 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* z y) t)
22.9b	(cbrt (/ (* z y) t))
22.9b	(cbrt (/ (* z y) t))
22.9b	(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:

5.0ms	(/ (* z y) t)
3.0ms	(cbrt (/ (* z y) t))
3.0ms	(cbrt (/ (* z y) t))
3.0ms	(cbrt (/ (* z y) t))

series68.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (* z y) t)
22.0ms	(cbrt (/ (* z y) t))
20.0ms	(cbrt (/ (* z y) t))
21.0ms	(cbrt (/ (* z y) t))

simplify87.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	199	457
1	764	421
2	3486	370
3	5001	367

prune121.0ms

Filtered

81 candidates to 64 candidates (21.0%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	79	16	95

Merged error: 3.9b

Counts

95 → 16

regimes1.3s

Accuracy

62.9% (5.0b remaining)

Error of 9.0b against oracle of 4.0b and baseline of 17.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	42
1	45	42

end0.0ms

sample3.2s

Algorithm

intervals

Results

891.0ms	1453×	body	1280	valid
571.0ms	1584×	body	640	valid
261.0ms	3464×	body	80	valid
224.0ms	965×	body	320	valid
130.0ms	2569×	body	80	nan
113.0ms	78×	body	2560	valid
95.0ms	1567×	body	80	overflowed
79.0ms	303×	body	640	nan
74.0ms	485×	body	160	valid
49.0ms	127×	body	1280	nan
33.0ms	168×	body	320	nan
15.0ms	123×	body	160	nan

Details

sample106.0ms

simplify238.0ms

prune5.0ms

localize11.0ms

rewrite27.0ms

series70.0ms

simplify58.0ms

prune168.0ms

localize14.0ms

rewrite31.0ms

series70.0ms

simplify71.0ms

prune252.0ms

localize10.0ms

rewrite16.0ms

series26.0ms

simplify93.0ms

prune126.0ms

localize14.0ms

rewrite15.0ms

series68.0ms

simplify87.0ms

prune121.0ms

regimes1.3s

bsearch2.0ms

simplify2.0ms

end0.0ms

sample3.2s

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