Details

sample101.0ms

Algorithm

intervals

Results

21.0ms	43×	body	1280	valid
19.0ms	38×	body	10240	exit
17.0ms	61×	body	640	valid
6.0ms	105×	body	80	valid
6.0ms	33×	body	320	valid
4.0ms	3×	body	2560	valid
3.0ms	18×	body	640	nan
3.0ms	79×	body	80	nan
2.0ms	14×	body	320	nan
1.0ms	12×	body	160	valid
1.0ms	8×	body	160	nan
0.0ms	2×	body	1280	nan

simplify204.0ms

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: 25.6b

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)
1.8b	(log (+ (- 1.0 y) (* y (exp z))))
2.4b	(+ (- 1.0 y) (* y (exp z)))

rewrite21.0ms

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:

4.0ms	(* y (exp z))
7.0ms	(/ (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)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
152.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
73.0ms	(log (+ (- 1.0 y) (* y (exp z))))
53.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify32.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (28.0ms)

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

prune104.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	4	27

Merged error: 5.1b

Counts

27 → 4

localize10.0ms

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)
3.8b	(log (+ 1.0 (* y (expm1 z))))

rewrite11.0ms

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))
3.0ms	(/ (log (+ 1.0 (* y (expm1 z)))) t)
3.0ms	(log (+ 1.0 (* y (expm1 z))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- x (/ (log (+ 1.0 (* y (expm1 z)))) t))
41.0ms	(* y (expm1 z))
148.0ms	(/ (log (+ 1.0 (* y (expm1 z)))) t)
73.0ms	(log (+ 1.0 (* y (expm1 z))))

simplify33.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (28.0ms)

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

prune98.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	22	8	30

Merged error: 5.0b

Counts

30 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (expm1 z))
0.1b	(/ t (log (+ 1.0 (* y (expm1 z)))))
0.1b	(/ 1 (/ t (log (+ 1.0 (* y (expm1 z))))))
3.8b	(log (+ 1.0 (* y (expm1 z))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

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

series377.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (expm1 z))
197.0ms	(/ t (log (+ 1.0 (* y (expm1 z)))))
71.0ms	(/ 1 (/ t (log (+ 1.0 (* y (expm1 z))))))
73.0ms	(log (+ 1.0 (* y (expm1 z))))

simplify38.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	374	262
1	1601	254
2	5002	252

prune116.0ms

Filtered

27 candidates to 23 candidates (85.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	26	9	35

Merged error: 5.0b

Counts

35 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 t) (log (+ 1.0 (* y (expm1 z))))))
0.0b	(* y (expm1 z))
0.1b	(* (/ 1 t) (log (+ 1.0 (* y (expm1 z)))))
3.8b	(log (+ 1.0 (* y (expm1 z))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 12

Calls

4 calls:

3.0ms	(- x (* (/ 1 t) (log (+ 1.0 (* y (expm1 z))))))
2.0ms	(* y (expm1 z))
4.0ms	(* (/ 1 t) (log (+ 1.0 (* y (expm1 z)))))
6.0ms	(log (+ 1.0 (* y (expm1 z))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- x (* (/ 1 t) (log (+ 1.0 (* y (expm1 z))))))
40.0ms	(* y (expm1 z))
76.0ms	(* (/ 1 t) (log (+ 1.0 (* y (expm1 z)))))
68.0ms	(log (+ 1.0 (* y (expm1 z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	325	222
1	1178	213
2	5002	203

prune71.0ms

Filtered

24 candidates to 20 candidates (83.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	23	10	33

Merged error: 5.0b

Counts

33 → 10

regimes267.0ms

Accuracy

36.2% (4.7b remaining)

Error of 9.1b against oracle of 4.5b and baseline of 11.8b

bsearch84.0ms

Steps

Iters	Range		Point
7	-3.262421321844347e-177	-1.282279085600097e-178	-3.2268447585675767e-177

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	16
1	34	16

end0.0ms

sample3.1s

Algorithm

intervals

Results

752.0ms	1429×	body	1280	valid
710.0ms	1440×	body	10240	exit
483.0ms	1627×	body	640	valid
220.0ms	3481×	body	80	valid
169.0ms	926×	body	320	valid
93.0ms	73×	body	2560	valid
90.0ms	2439×	body	80	nan
56.0ms	272×	body	640	nan
55.0ms	491×	body	160	valid
33.0ms	115×	body	1280	nan
30.0ms	225×	body	320	nan
10.0ms	123×	body	160	nan