Details

sample65.0ms

Algorithm

intervals

Results

21.0ms	404×	body	80	nan
20.0ms	373×	body	80	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	40	12
1	92	12
2	269	12
3	669	12
4	1565	11
5	2855	11
6	5001	11

prune9.0ms

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: 7.9b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
7.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 15

Calls

4 calls:

5.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
6.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
1.0ms	(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
10.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series268.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* (+ y 0.0007936500793651) z) 0.0027777777777778)
37.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
126.0ms	(fma (log x) (- x 0.5) (- (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x) (- x 0.91893853320467)))
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	234	173
1	688	157
2	3241	150
3	5001	143

prune102.0ms

Filtered

27 candidates to 20 candidates (74.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	24	5	29

Merged error: 5.5b

Counts

29 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
7.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 17

Calls

4 calls:

9.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
5.0ms	(- (* (- x 0.5) (log x)) x)
4.0ms	(* (- x 0.5) (log x))
9.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series794.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
420.0ms	(- (* (- x 0.5) (log x)) x)
258.0ms	(* (- x 0.5) (log x))
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	289	191
1	844	169
2	3635	163
3	5001	156

prune114.0ms

Filtered

29 candidates to 20 candidates (69.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	27	7	34

Merged error: 5.5b

Counts

34 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
7.5b	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times` `associate-*l/`
4×	`flip3-+` `clear-num` `*-commutative` `flip-+`
3×	`flip3--` `frac-2neg` `associate-*r/` `flip--`
2×	`fma-neg` `un-div-inv`
1×	`sub-neg` `associate-r` `div-inv`

Counts

4 → 27

Calls

4 calls:

6.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
5.0ms	(- (* (- x 0.5) (log x)) x)
3.0ms	(* (- x 0.5) (log x))
10.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

series859.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
423.0ms	(- (* (- x 0.5) (log x)) x)
256.0ms	(* (- x 0.5) (log x))
81.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

simplify36.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	329	314
1	1183	291
2	5002	285

prune144.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 5.5b

Counts

46 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.0027777777777778 (/ z x))
0.2b	(* 0.083333333333333 (/ 1 x))
0.3b	(fma 0.0007936500793651 (/ (pow z 2) x) (- (* 0.083333333333333 (/ 1 x)) (* 0.0027777777777778 (/ z x))))
10.0b	(/ (pow z 2) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-*r/`
5×	`clear-num`
3×	`frac-2neg` `un-div-inv` `div-inv`
2×	`associate-r` `-commutative` `associate-/l`
1×	`fma-udef` `unpow2` `sqr-pow`

Counts

4 → 19

Calls

4 calls:

3.0ms	(* 0.0027777777777778 (/ z x))
3.0ms	(* 0.083333333333333 (/ 1 x))
1.0ms	(fma 0.0007936500793651 (/ (pow z 2) x) (- (* 0.083333333333333 (/ 1 x)) (* 0.0027777777777778 (/ z x))))
3.0ms	(/ (pow z 2) x)

series98.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 0.0027777777777778 (/ z x))
15.0ms	(* 0.083333333333333 (/ 1 x))
48.0ms	(fma 0.0007936500793651 (/ (pow z 2) x) (- (* 0.083333333333333 (/ 1 x)) (* 0.0027777777777778 (/ z x))))
18.0ms	(/ (pow z 2) x)

simplify34.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	59	58
1	207	55
2	859	52
3	5002	52

prune70.0ms

Filtered

31 candidates to 16 candidates (51.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	31	7	38

Merged error: 1.7b

Counts

38 → 7

regimes312.0ms

Accuracy

62.1% (2.1b remaining)

Error of 2.8b against oracle of 0.7b and baseline of 6.4b

bsearch201.0ms

Steps

Iters	Range		Point
10	1.8487663556299588e+34	2.1173410429035314e+45	2.0917626344359026e+45
6	-9.172211881684603e+85	-6.388102385432176e+84	-1.4076613045065106e+85

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	27
1	60	27
2	60	27

end0.0ms

sample1.8s

Algorithm

intervals

Results

665.0ms	11672×	body	80	valid
582.0ms	11650×	body	80	nan