Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

sample45.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
11.0ms	129×	body	80	invalid
3.0ms	66×	body	80	nan

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4961	13
1	4961	13

prune11.0ms

Filtered

1 candidates to 1 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: 1.3b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (pow k m))
0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.3b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `unpow-prod-down` `div-exp` `sum-log`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* a (pow k m))
3.0ms	(+ 1.0 (* 10.0 k))
5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
13.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* a (pow k m))
3.0ms	(+ 1.0 (* 10.0 k))
3.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
33.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	920
1	4953	920

prune109.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ k 10.0))
0.1b	(/ (pow k m) (+ 1.0 (* k (+ k 10.0))))
1.3b	(* a (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
45×	`times-frac`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
31×	`associate-r`
22×	`unpow-prod-down`
20×	`add-exp-log`
12×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`pow1` `associate-/l*`
6×	`div-exp` `associate-l`
5×	`prod-exp` `unswap-sqr`
4×	`associate-/r/`
3×	`flip3-+` `associate-r/` `associate-/r` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

6.0ms	(* k (+ k 10.0))
6.0ms	(/ (pow k m) (+ 1.0 (* k (+ k 10.0))))
11.0ms	(* a (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))))

series52.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* k (+ k 10.0))
15.0ms	(/ (pow k m) (+ 1.0 (* k (+ k 10.0))))
32.0ms	(* a (/ (pow k m) (+ 1.0 (* k (+ k 10.0)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5031	1960

prune161.0ms

Filtered

92 candidates to 129 candidates (-40.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (sqrt (+ 1.0 (* k (+ k 10.0)))))
0.1b	(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
15.2b	(sqrt (+ 1.0 (* k (+ k 10.0))))
15.2b	(sqrt (+ 1.0 (* k (+ k 10.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
110×	`times-frac`
64×	`sqrt-prod`
61×	`add-cube-cbrt` `*-un-lft-identity`
48×	`associate-r`
30×	`add-exp-log`
24×	`unpow-prod-down` `associate-l`
21×	`unswap-sqr`
18×	`add-cbrt-cube`
12×	`sqr-pow`
11×	`div-exp`
10×	`sqrt-div`
8×	`pow1` `prod-exp`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 188

Calls

4 calls:

6.0ms	(/ a (sqrt (+ 1.0 (* k (+ k 10.0)))))
32.0ms	(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
3.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))
3.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (sqrt (+ 1.0 (* k (+ k 10.0)))))
33.0ms	(* (/ a (sqrt (+ 1.0 (* k (+ k 10.0))))) (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))))
3.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))
4.0ms	(sqrt (+ 1.0 (* k (+ k 10.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4952	4399
1	4952	4399

prune342.0ms

Filtered

131 candidates to 200 candidates (-52.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 0.0b

Counts

205 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ a (* (cbrt (+ 1.0 (* k (+ k 10.0)))) (cbrt (+ 1.0 (* k (+ k 10.0))))))
15.7b	(cbrt (+ 1.0 (* k (+ k 10.0))))
15.7b	(cbrt (+ 1.0 (* k (+ k 10.0))))
15.7b	(cbrt (+ 1.0 (* k (+ k 10.0))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 68

Calls

4 calls:

10.0ms	(/ a (* (cbrt (+ 1.0 (* k (+ k 10.0)))) (cbrt (+ 1.0 (* k (+ k 10.0))))))
2.0ms	(cbrt (+ 1.0 (* k (+ k 10.0))))
2.0ms	(cbrt (+ 1.0 (* k (+ k 10.0))))
3.0ms	(cbrt (+ 1.0 (* k (+ k 10.0))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ a (* (cbrt (+ 1.0 (* k (+ k 10.0)))) (cbrt (+ 1.0 (* k (+ k 10.0))))))
8.0ms	(cbrt (+ 1.0 (* k (+ k 10.0))))
7.0ms	(cbrt (+ 1.0 (* k (+ k 10.0))))
8.0ms	(cbrt (+ 1.0 (* k (+ k 10.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5016	1421

prune184.0ms

Filtered

67 candidates to 80 candidates (-19.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

regimes165.0ms

Accuracy

98.7% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.2b

bsearch18.0ms

Steps

Iters	Range		Point
6	2.9502137966769306e+60	2.540146680776311e+61	1.140212931009092e+61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	42
1	44	42

end0.0ms

sample1.2s

Algorithm

intervals

Results

535.0ms	8000×	body	80	valid
271.0ms	3198×	body	80	invalid
94.0ms	2022×	body	80	nan

Details

analyze1.0s

sample45.0ms

simplify85.0ms

prune11.0ms

localize10.0ms

rewrite28.0ms

series54.0ms

simplify56.0ms

prune109.0ms

localize13.0ms

rewrite28.0ms

series52.0ms

simplify39.0ms

prune161.0ms

localize12.0ms

rewrite55.0ms

series58.0ms

simplify80.0ms

prune342.0ms

localize17.0ms

rewrite19.0ms

series56.0ms

simplify44.0ms

prune184.0ms

regimes165.0ms

bsearch18.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling