Details

sample122.0ms

Algorithm

intervals

Results

31.0ms	48×	body	1280	valid
14.0ms	36×	body	640	valid
9.0ms	116×	body	80	valid
9.0ms	33×	body	320	valid
8.0ms	21×	body	160	valid
6.0ms	3×	body	2560	valid
5.0ms	91×	body	80	nan
3.0ms	9×	body	640	nan
3.0ms	47×	body	80	overflowed
1.0ms	4×	body	320	nan
0.0ms	1×	body	1280	nan
0.0ms	2×	body	160	nan

simplify237.0ms

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	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	7

prune4.0ms

Filtered

1 candidates to 0 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: 24.8b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.3b	(log (+ (- 1.0 y) (* y (exp z))))
3.0b	(+ (- 1.0 y) (* y (exp z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow1` `add-log-exp`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `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` `clear-num` `div-inv`

Counts

3 → 62

Calls

3 calls:

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)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
14.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	403	724
1	1433	668
2	5001	661

prune171.0ms

Filtered

71 candidates to 54 candidates (23.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 4.9b

Counts

72 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.6b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite26.0ms

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 0.5 (pow z 2))
6.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
21.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	415	800
1	1832	721
2	5002	715

prune211.0ms

Filtered

101 candidates to 71 candidates (29.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 4.8b

Counts

106 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.9b	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.6b	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
8.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
32.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
43.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify85.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	649	2206
1	3269	2016
2	5001	1930

prune280.0ms

Filtered

158 candidates to 92 candidates (41.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Merged error: 4.8b

Counts

165 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.6b	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

rewrite42.0ms

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:

9.0ms	(* 0.5 (pow z 2))
7.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
11.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
10.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

series74.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 0.5 (pow z 2))
7.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
27.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
37.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

simplify74.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (64.0ms)

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

prune183.0ms

Filtered

112 candidates to 75 candidates (33.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	112	7	119

Merged error: 4.8b

Counts

119 → 7

regimes766.0ms

Accuracy

73.1% (4.4b remaining)

Error of 8.7b against oracle of 4.3b and baseline of 20.7b

bsearch43.0ms

Steps

Iters	Range		Point
8	-60192190976836.18	-1881194309.1140356	-1912565115.640474

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

end0.0ms

sample3.0s

Algorithm

intervals

Results

844.0ms	1440×	body	1280	valid
542.0ms	1575×	body	640	valid
244.0ms	3503×	body	80	valid
207.0ms	938×	body	320	valid
117.0ms	2533×	body	80	nan
112.0ms	82×	body	2560	valid
80.0ms	1495×	body	80	overflowed
65.0ms	480×	body	160	valid
64.0ms	263×	body	640	nan
41.0ms	117×	body	1280	nan
35.0ms	197×	body	320	nan
10.0ms	98×	body	160	nan

Details

sample122.0ms

simplify237.0ms

prune4.0ms

localize10.0ms

rewrite20.0ms

series61.0ms

simplify39.0ms

prune171.0ms

localize12.0ms

rewrite26.0ms

series44.0ms

simplify55.0ms

prune211.0ms

localize14.0ms

rewrite31.0ms

series95.0ms

simplify85.0ms

prune280.0ms

localize14.0ms

rewrite42.0ms

series74.0ms

simplify74.0ms

prune183.0ms

regimes766.0ms

bsearch43.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling