Details

sample51.0ms

Algorithm

intervals

Results

11.0ms	24×	body	1280	valid
10.0ms	208×	body	80	valid
8.0ms	32×	body	640	valid
4.0ms	108×	body	80	nan
3.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (28.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4208	6
7	5001	6

prune8.0ms

Filtered

1 candidates to 1 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: 3.9b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.2b	(log (/ y (+ z y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`clear-num` `div-inv`
3×	`distribute-rgt-in` `log-div` `distribute-lft-in`
2×	`frac-2neg` `log-rec`
1×	`+-commutative` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 23

Calls

4 calls:

4.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
3.0ms	(/ y (+ z y))
4.0ms	(* y (log (/ y (+ z y))))
3.0ms	(log (/ y (+ z y)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
37.0ms	(/ y (+ z y))
74.0ms	(* y (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 4 (48.0ms)

Iter	Nodes	Cost
0	158	180
1	317	176
2	675	174
3	1649	173
4	5002	171

prune101.0ms

Filtered

35 candidates to 27 candidates (77.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `flip3-+` `flip-+`

Counts

1 → 3

Calls

1 calls:

2.0ms

(+ x (/ (exp 0) y))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(+ x (/ (exp 0) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	52	29
1	137	24
2	362	21
3	696	21
4	2302	21
5	5001	21

prune19.0ms

Filtered

6 candidates to 4 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	6	4	10

Merged error: 0b

Counts

10 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (* -1 z)) y))
0.0b	(/ (exp (* -1 z)) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l/`

Counts

2 → 7

Calls

2 calls:

3.0ms	(+ x (/ (exp (* -1 z)) y))
4.0ms	(/ (exp (* -1 z)) y)

series40.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (exp (* -1 z)) y))
19.0ms	(/ (exp (* -1 z)) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (70.0ms)

Iter	Nodes	Cost
0	83	59
1	187	58
2	522	56
3	2018	55
4	5001	51

prune35.0ms

Filtered

13 candidates to 9 candidates (69.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	13	4	17

Merged error: 0b

Counts

17 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

5.8b	(pow (/ y (+ z y)) y)
5.8b	(pow (/ y (+ z y)) y)
5.8b	(pow (/ y (+ z y)) y)
27.5b	(/ (fma (/ (pow (/ y (+ z y)) y) (* y y)) (- (pow (/ y (+ z y)) y)) (* x x)) (+ (/ (- (pow (/ y (+ z y)) y)) y) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`unpow-prod-down`
8×	`associate-/r/`
4×	`flip3-+` `flip-+` `div-inv`
3×	`pow-to-exp` `sqr-pow`
1×	`frac-2neg` `clear-num`

Counts

4 → 20

Calls

4 calls:

2.0ms	(pow (/ y (+ z y)) y)
2.0ms	(pow (/ y (+ z y)) y)
2.0ms	(pow (/ y (+ z y)) y)
7.0ms	(/ (fma (/ (pow (/ y (+ z y)) y) (* y y)) (- (pow (/ y (+ z y)) y)) (* x x)) (+ (/ (- (pow (/ y (+ z y)) y)) y) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

228.0ms	(pow (/ y (+ z y)) y)
230.0ms	(pow (/ y (+ z y)) y)
280.0ms	(pow (/ y (+ z y)) y)
271.0ms	(/ (fma (/ (pow (/ y (+ z y)) y) (* y y)) (- (pow (/ y (+ z y)) y)) (* x x)) (+ (/ (- (pow (/ y (+ z y)) y)) y) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	232	293
1	703	286
2	2878	280
3	5001	270

prune115.0ms

Filtered

32 candidates to 27 candidates (84.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	32	4	36

Merged error: 0b

Counts

36 → 4

regimes73.0ms

Accuracy

67.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.5b

bsearch36.0ms

Steps

Iters	Range		Point
8	1.9839578581908613e-17	9.529615378338151e-13	9.252180414583137e-13

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

342.0ms	787×	body	1280	valid
303.0ms	6444×	body	80	valid
264.0ms	994×	body	640	valid
108.0ms	614×	body	320	valid
106.0ms	3158×	body	80	nan
32.0ms	303×	body	160	valid