Details

sample107.0ms

Algorithm

intervals

Results

26.0ms	51×	body	10240	exit
25.0ms	48×	body	1280	valid
15.0ms	51×	body	640	valid
8.0ms	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

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	35	7
2	53	7
3	81	7
4	121	7
5	250	7
6	314	7
7	532	7
8	908	7
9	1397	7
10	1551	7
11	1886	7
12	4545	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

localize14.0ms

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)))

rewrite17.0ms

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)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
159.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
81.0ms	(log (+ (- 1.0 y) (* y (exp z))))
36.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	314	255
1	1084	244
2	5001	234

prune107.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	5	27

Merged error: 4.2b

Counts

27 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ 1.0 (* y (expm1 z)))) t))
0.0b	(* y (expm1 z))
0.1b	(/ (log (+ 1.0 (* y (expm1 z)))) t)
3.4b	(log (+ 1.0 (* y (expm1 z))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

2.0ms	(- x (/ (log (+ 1.0 (* y (expm1 z)))) t))
2.0ms	(* y (expm1 z))
4.0ms	(/ (log (+ 1.0 (* y (expm1 z)))) t)
5.0ms	(log (+ 1.0 (* y (expm1 z))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- x (/ (log (+ 1.0 (* y (expm1 z)))) t))
36.0ms	(* y (expm1 z))
162.0ms	(/ (log (+ 1.0 (* y (expm1 z)))) t)
75.0ms	(log (+ 1.0 (* y (expm1 z))))

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	350	267
1	1208	261
2	5001	251

prune109.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	22	9	31

Merged error: 4.2b

Counts

31 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (log (+ 1.0 (* y (expm1 z)))) (/ 1 t)))
0.0b	(* y (expm1 z))
0.1b	(* (log (+ 1.0 (* y (expm1 z)))) (/ 1 t))
3.4b	(log (+ 1.0 (* y (expm1 z))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 14

Calls

4 calls:

2.0ms	(- x (* (log (+ 1.0 (* y (expm1 z)))) (/ 1 t)))
2.0ms	(* y (expm1 z))
3.0ms	(* (log (+ 1.0 (* y (expm1 z)))) (/ 1 t))
3.0ms	(log (+ 1.0 (* y (expm1 z))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- x (* (log (+ 1.0 (* y (expm1 z)))) (/ 1 t)))
37.0ms	(* y (expm1 z))
159.0ms	(* (log (+ 1.0 (* y (expm1 z)))) (/ 1 t))
75.0ms	(log (+ 1.0 (* y (expm1 z))))

simplify36.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	350	228
1	1328	217
2	5001	205

prune88.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	25	10	35

Merged error: 4.2b

Counts

35 → 10

localize15.0ms

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)

series232.0ms

Counts

2 → 6

Calls

2 calls:

213.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify33.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	94
1	275	92
2	1066	92
3	5001	92

prune37.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	16	11	27

Merged error: 3.4b

Counts

27 → 11

regimes299.0ms

Accuracy

39.7% (4.6b remaining)

Error of 8.0b against oracle of 3.4b and baseline of 11.0b

bsearch57.0ms

Steps

Iters	Range		Point
5	-1.1801389682136069e-93	-4.1747844910918537e-94	-9.793489954022148e-94

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms

sample3.3s

Algorithm

intervals

Results

787.0ms	1480×	body	10240	exit
777.0ms	1407×	body	1280	valid
498.0ms	1595×	body	640	valid
226.0ms	3566×	body	80	valid
175.0ms	888×	body	320	valid
103.0ms	80×	body	2560	valid
101.0ms	2530×	body	80	nan
59.0ms	279×	body	640	nan
58.0ms	486×	body	160	valid
36.0ms	120×	body	1280	nan
28.0ms	193×	body	320	nan
11.0ms	119×	body	160	nan