Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample93.0ms

Algorithm

intervals

Results

26.0ms	46×	body	1280	valid
23.0ms	54×	body	640	valid
9.0ms	120×	body	80	valid
5.0ms	22×	body	320	valid
2.0ms	7×	body	1280	nan
2.0ms	1×	body	2560	valid
2.0ms	45×	body	80	nan
2.0ms	8×	body	640	nan
2.0ms	13×	body	160	valid
2.0ms	29×	body	80	overflowed
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4686	13
1	4686	13

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.8b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
1.8b	(log (+ 1.0 (- (* y (exp z)) y)))
3.8b	(- (* y (exp z)) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

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

series65.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
40.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4956	1202
1	4956	1202

prune182.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 3.7b

Counts

90 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ (* 0.5 z) 1.0))
3.1b	(* y (* z (+ (* 0.5 z) 1.0)))
5.3b	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

6.0ms	(* z (+ (* 0.5 z) 1.0))
8.0ms	(* y (* z (+ (* 0.5 z) 1.0)))
8.0ms	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

series35.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* z (+ (* 0.5 z) 1.0))
8.0ms	(* y (* z (+ (* 0.5 z) 1.0)))
21.0ms	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

simplify27.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5049	1155

prune195.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 3.7b

Counts

90 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (+ (* 0.5 z) 1.0))
3.1b	(* y (* z (+ (* 0.5 z) 1.0)))
5.3b	(* (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) (/ 1 t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`add-exp-log`
17×	`associate-r`
15×	`*-un-lft-identity` `add-cbrt-cube`
14×	`add-cube-cbrt`
12×	`pow1`
11×	`times-frac`
9×	`associate-l`
8×	`prod-exp`
7×	`associate-*r/`
6×	`cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`flip3-+` `flip-+` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`frac-times` `div-exp` `associate-*l/`
1×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `div-inv`

Counts

3 → 86

Calls

3 calls:

6.0ms	(* z (+ (* 0.5 z) 1.0))
8.0ms	(* y (* z (+ (* 0.5 z) 1.0)))
9.0ms	(* (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) (/ 1 t))

series37.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* z (+ (* 0.5 z) 1.0))
11.0ms	(* y (* z (+ (* 0.5 z) 1.0)))
21.0ms	(* (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) (/ 1 t))

simplify68.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4948	1261
1	4948	1261

prune190.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	95	10	105

Merged error: 3.7b

Counts

105 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

3.1b	(* y (* z (+ 1.0 (* z 0.5))))
17.3b	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))
17.3b	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))
17.3b	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

6.0ms	(* y (* z (+ 1.0 (* z 0.5))))
3.0ms	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))
3.0ms	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))
3.0ms	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* y (* z (+ 1.0 (* z 0.5))))
45.0ms	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))
43.0ms	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))
45.0ms	(cbrt (+ (log 1.0) (* y (* z (+ 1.0 (* z 0.5))))))

simplify31.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5483	1675

prune281.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	74	11	85

Merged error: 3.7b

Counts

85 → 11

regimes697.0ms

Accuracy

68.2% (5.5b remaining)

Error of 9.3b against oracle of 3.8b and baseline of 21.1b

bsearch301.0ms

Steps

Iters	Range		Point
10	4.913628901149412e-175	6.1801766702033874e-161	8.583948584039459e-175
8	5.561065813766805e-243	1.340988718231447e-239	1.2779421478638847e-239
7	-2.4055882630230747e-191	-2.568937431891546e-193	-2.369736637215244e-191
9	-8.047448124443531e-140	-1.1634975511706217e-148	-3.154476448271364e-144
7	-3444.3864260856944	-15.841861868307797	-16.1650735226202

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	386	87
1	386	87

end0.0ms

sample2.6s

Algorithm

intervals

Results

837.0ms	1419×	body	1280	valid
516.0ms	1515×	body	640	valid
271.0ms	3620×	body	80	valid
206.0ms	931×	body	320	valid
110.0ms	83×	body	2560	valid
69.0ms	1420×	body	80	nan
64.0ms	264×	body	640	nan
61.0ms	432×	body	160	valid
45.0ms	817×	body	80	overflowed
41.0ms	120×	body	1280	nan
31.0ms	186×	body	320	nan
12.0ms	111×	body	160	nan
1.0ms	21×	body	80	invalid
0.0ms	1×	body	640	invalid

Details

analyze1.1s

sample93.0ms

simplify72.0ms

prune11.0ms

localize10.0ms

rewrite25.0ms

series65.0ms

simplify47.0ms

prune182.0ms

localize11.0ms

rewrite24.0ms

series35.0ms

simplify27.0ms

prune195.0ms

localize12.0ms

rewrite25.0ms

series37.0ms

simplify68.0ms

prune190.0ms

localize15.0ms

rewrite17.0ms

series143.0ms

simplify31.0ms

prune281.0ms

regimes697.0ms

bsearch301.0ms

simplify6.0ms

end0.0ms

sample2.6s

Profiling