Details

sample95.0ms

Algorithm

intervals

Results

23.0ms	40×	body	1280	valid
18.0ms	53×	body	640	valid
11.0ms	121×	body	80	valid
8.0ms	5×	body	2560	valid
5.0ms	25×	body	320	valid
3.0ms	76×	body	80	nan
3.0ms	60×	body	80	overflowed
3.0ms	11×	body	640	nan
2.0ms	12×	body	160	valid
1.0ms	3×	body	1280	nan
1.0ms	5×	body	320	nan
0.0ms	2×	body	160	nan

simplify202.0ms

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	1240	7
11	1558	7
12	4191	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: 21.5b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.6b	(log (+ (- 1.0 y) (* y (exp z))))
2.3b	(+ (- 1.0 y) (* y (exp z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-log-exp`
9×	`pow1`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`log-pow`
4×	`flip3-+` `div-sub` `flip-+` `associate-/l*`
3×	`log-prod` `associate-/r*`
2×	`sub-neg` `associate-+l+` `diff-log` `sum-log` `associate--r-` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 79

Calls

4 calls:

8.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t))
150.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
69.0ms	(log (+ (- 1.0 y) (* y (exp z))))
37.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	473	933
1	1592	875
2	5001	868

prune279.0ms

Filtered

91 candidates to 70 candidates (76.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	82	9	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	9	92

Merged error: 4.5b

Counts

92 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ 1.0 (* (- (exp z) 1) y))) t))
0.1b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
1.6b	(log (+ 1.0 (* (- (exp z) 1) y)))
3.4b	(- (exp z) 1)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
9×	`pow1`
8×	`add-log-exp`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`log-pow`
4×	`div-sub` `associate-/l*` `difference-of-squares`
3×	`log-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `associate--r-`
1×	`cbrt-undiv` `frac-2neg` `difference-of-sqr-1` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 80

Calls

4 calls:

7.0ms	(- x (/ (log (+ 1.0 (* (- (exp z) 1) y))) t))
5.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
6.0ms	(- (exp z) 1)

series250.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- x (/ (log (+ 1.0 (* (- (exp z) 1) y))) t))
117.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
60.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
15.0ms	(- (exp z) 1)

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	458	879
1	1676	827
2	5001	819

prune213.0ms

Filtered

92 candidates to 67 candidates (72.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 4.5b

Counts

101 → 8

localize9.0ms

Local error

Found 1 expressions with local error:

4.5b	(/ (* z y) t)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* z y) t)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(/ (* z y) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	111	85
1	514	70
2	2471	70
3	5001	70

prune82.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	18	14	32

Merged error: 3.6b

Counts

32 → 14

localize9.0ms

Local error

Found 1 expressions with local error:

4.8b	(/ z (/ t y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/r*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ z (/ t y))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(/ z (/ t y))

simplify57.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	325	452
1	1331	432
2	5002	431

prune218.0ms

Filtered

73 candidates to 60 candidates (82.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	73	14	87

Merged error: 3.6b

Counts

87 → 14

regimes746.0ms

Accuracy

53% (6.1b remaining)

Error of 9.6b against oracle of 3.5b and baseline of 16.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	84
1	71	84

end0.0ms

sample2.8s

Algorithm

intervals

Results

854.0ms	1433×	body	1280	valid
537.0ms	1595×	body	640	valid
248.0ms	3538×	body	80	valid
192.0ms	877×	body	320	valid
125.0ms	2533×	body	80	nan
110.0ms	83×	body	2560	valid
83.0ms	1571×	body	80	overflowed
66.0ms	498×	body	160	valid
56.0ms	230×	body	640	nan
47.0ms	128×	body	1280	nan
29.0ms	175×	body	320	nan
12.0ms	118×	body	160	nan