Details

sample89.0ms

Algorithm

intervals

Results

23.0ms	37×	body	1280	valid
17.0ms	51×	body	640	valid
12.0ms	127×	body	80	valid
5.0ms	4×	body	2560	valid
4.0ms	20×	body	320	valid
3.0ms	75×	body	80	nan
2.0ms	17×	body	160	valid
2.0ms	34×	body	80	overflowed
1.0ms	6×	body	640	nan
1.0ms	5×	body	320	nan
1.0ms	2×	body	1280	nan
0.0ms	2×	body	160	nan

simplify227.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 23.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.7b	(log (+ (- 1.0 y) (* y (exp z))))
3.5b	(+ (- 1.0 y) (* y (exp z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
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)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
177.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
77.0ms	(log (+ (- 1.0 y) (* y (exp z))))
44.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune268.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 3.8b

Counts

93 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(* 0.5 (pow z 2))
2.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.9b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
6.0ms	(* 0.5 (pow z 2))
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series334.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
33.0ms	(* 0.5 (pow z 2))
94.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
131.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	415	800
1	1832	721
2	5001	715

prune510.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	96	12	108

Merged error: 3.8b

Counts

108 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(* 0.5 (pow z 2))
2.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
7.0b	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`associate-r`
20×	`add-exp-log`
18×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`times-frac`
9×	`associate-l`
8×	`pow1` `prod-exp` `unswap-sqr`
6×	`add-log-exp`
4×	`unpow-prod-down` `flip3-+` `cbrt-unprod` `flip-+`
3×	`associate-r/` `-commutative`
2×	`frac-times` `div-exp` `pow-prod-down` `associate-*l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `rec-exp` `distribute-lft-in` `1-exp` `pow-exp` `sum-log` `un-div-inv` `div-inv`

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
8.0ms	(* 0.5 (pow z 2))
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

series310.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
25.0ms	(* 0.5 (pow z 2))
85.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
131.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

simplify82.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	526	909
1	2623	809
2	5001	797

prune273.0ms

Filtered

112 candidates to 74 candidates (66.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	112	12	124

Merged error: 3.8b

Counts

124 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
21.4b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
21.4b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
21.4b	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
3.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
2.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
3.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

86.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
329.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
319.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))
323.0ms	(cbrt (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	374	1161
1	1546	1097
2	5001	1007

prune280.0ms

Filtered

73 candidates to 58 candidates (79.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	73	12	85

Merged error: 3.8b

Counts

85 → 12

regimes566.0ms

Accuracy

74.1% (4.2b remaining)

Error of 8.5b against oracle of 4.3b and baseline of 20.5b

bsearch23.0ms

Steps

Iters	Range		Point
2	-8.328242841637719	-7.218583477017294	-7.33677571999249

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	17
1	38	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

843.0ms	1436×	body	1280	valid
539.0ms	1601×	body	640	valid
255.0ms	3545×	body	80	valid
190.0ms	867×	body	320	valid
113.0ms	2423×	body	80	nan
105.0ms	77×	body	2560	valid
82.0ms	1511×	body	80	overflowed
65.0ms	492×	body	160	valid
58.0ms	232×	body	640	nan
39.0ms	114×	body	1280	nan
28.0ms	173×	body	320	nan
11.0ms	110×	body	160	nan