Details

sample102.0ms

Algorithm

intervals

Results

25.0ms	51×	body	10240	exit
24.0ms	48×	body	1280	valid
14.0ms	51×	body	640	valid
7.0ms	125×	body	80	valid
4.0ms	21×	body	320	valid
3.0ms	88×	body	80	nan
3.0ms	2×	body	2560	valid
2.0ms	9×	body	640	nan
1.0ms	10×	body	160	valid
1.0ms	4×	body	1280	nan
1.0ms	5×	body	320	nan
0.0ms	2×	body	160	nan

simplify226.0ms

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	710	7
9	1092	7
10	1238	7
11	1552	7
12	4056	7
13	5001	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: 24.4b

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)
1.5b	(log (+ (- 1.0 y) (* y (exp z))))
3.2b	(+ (- 1.0 y) (* y (exp z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-div`
3×	`flip3-+` `flip-+`
2×	`associate-+l+` `div-sub`
1×	`+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `clear-num` `*-commutative` `div-inv`

Counts

4 → 14

Calls

4 calls:

2.0ms	(* y (exp z))
5.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
4.0ms	(log (+ (- 1.0 y) (* y (exp z))))
5.0ms	(+ (- 1.0 y) (* y (exp z)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
154.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
35.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify130.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	297	264
1	1009	259
2	4657	251
3	5002	251

prune96.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Merged error: 4.2b

Counts

27 → 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))
3.0b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.2b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+-commutative` `flip3-+` `associate-r` `flip-+`
2×	`distribute-rgt-in` `distribute-rgt-out` `distribute-lft-in` `associate-*r/` `associate-/l/` `unpow2`
1×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 21

Calls

4 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
3.0ms	(- 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)))
9.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series396.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
124.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
88.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
118.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify98.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	218	271
1	689	269
2	2841	261
3	5003	261

prune104.0ms

Filtered

33 candidates to 21 candidates (63.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	29	9	38

Merged error: 4.2b

Counts

38 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.3b	(/ (* z y) t)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/l*` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

2 → 11

Calls

2 calls:

3.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.0ms	(/ (* z y) t)

series102.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify160.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	87	97
1	260	97
2	971	97
3	4848	97
4	5001	97

prune58.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	17	9	26

Merged error: 3.5b

Counts

26 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
0.6b	(/ 1 (/ t (* z y)))
4.1b	(/ t (* z y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r*` `associate-/r/`
4×	`clear-num`
3×	`frac-2neg` `div-inv`
2×	`*-commutative` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `remove-double-div` `inv-pow`

Counts

3 → 22

Calls

3 calls:

3.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
4.0ms	(/ 1 (/ t (* z y)))
3.0ms	(/ t (* z y))

series158.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
24.0ms	(/ 1 (/ t (* z y)))
20.0ms	(/ t (* z y))

simplify57.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	115	130
1	363	126
2	1663	121
3	5002	121

prune63.0ms

Filtered

31 candidates to 20 candidates (64.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	31	9	40

Merged error: 3.5b

Counts

40 → 9

regimes475.0ms

Accuracy

64.8% (4.6b remaining)

Error of 8.1b against oracle of 3.5b and baseline of 16.6b

bsearch51.0ms

Steps

Iters	Range		Point
6	-3186624082.971198	-222898000.12023225	-226906882.28480622

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

731.0ms	1407×	body	1280	valid
717.0ms	1480×	body	10240	exit
455.0ms	1595×	body	640	valid
211.0ms	3566×	body	80	valid
160.0ms	888×	body	320	valid
98.0ms	80×	body	2560	valid
92.0ms	2530×	body	80	nan
53.0ms	279×	body	640	nan
53.0ms	486×	body	160	valid
38.0ms	120×	body	1280	nan
25.0ms	193×	body	320	nan
10.0ms	119×	body	160	nan