Details

analyze484.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

sample21.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	452	21
1	452	21

prune10.0ms

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: 17.4b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 6.012459259764103))
0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.1b	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
17.1b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

6.0ms	(* z (+ z 6.012459259764103))
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
14.0ms	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
13.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series43.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (+ z 6.012459259764103))
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
24.0ms	(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
6.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify60.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5363	1944

prune206.0ms

Filtered

89 candidates to 122 candidates (-37.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.1b	(* y (/ 1 (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))))
0.4b	(/ 1 (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
17.2b	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
112×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
96×	`add-cube-cbrt`
53×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`associate-/r*` `associate-/r/`
15×	`div-exp`
10×	`flip3-+` `flip-+` `div-inv`
9×	`pow1`
8×	`prod-exp`
7×	`cbrt-undiv`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `un-div-inv` `inv-pow`

Counts

4 → 216

Calls

4 calls:

6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
26.0ms	(* y (/ 1 (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))))
14.0ms	(/ 1 (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
13.0ms	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
25.0ms	(* y (/ 1 (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))))
5.0ms	(/ 1 (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
6.0ms	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

simplify101.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4982	5326
1	4982	5326

prune449.0ms

Filtered

156 candidates to 228 candidates (-46.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	230	3	233

Merged error: 0b

Counts

233 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 6.012459259764103))
0.1b	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.3b	(/ y (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
17.2b	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

8.0ms	(* z (+ z 6.012459259764103))
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
14.0ms	(/ y (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
13.0ms	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

series39.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 6.012459259764103))
6.0ms	(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
24.0ms	(/ y (/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
6.0ms	(/ (+ (* z (+ z 6.012459259764103)) 3.350343815022304) (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

simplify86.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4973	3777
1	4973	3777

prune285.0ms

Filtered

129 candidates to 166 candidates (-28.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	166	3	169

Merged error: 0b

Counts

169 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)))
0.4b	(pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)
0.6b	(cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3))
17.1b	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

78×	`cbrt-prod`
74×	`add-sqr-sqrt`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
47×	`unpow-prod-down` `cube-prod`
39×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3-+` `flip-+`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

25.0ms	(* y (cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)))
14.0ms	(pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)
13.0ms	(cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3))
14.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series41.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)))
6.0ms	(pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3)
6.0ms	(cbrt (pow (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) 3))
6.0ms	(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify64.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5785	4811

prune285.0ms

Filtered

114 candidates to 200 candidates (-75.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	200	3	203

Merged error: 0b

Counts

203 → 3

regimes192.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.2b

bsearch196.0ms

Steps

Iters	Range		Point
8	14380.388834566827	4175221.7948810225	768379.4244246448
6	-610173549160.8141	-127541283937.8039	-131171491123.31871

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	48
1	52	48

end0.0ms

analyze484.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

sample566.0ms

Algorithm

intervals

Results

405.0ms

8000×

body

valid

Details

analyze484.0ms

sample21.0ms

simplify11.0ms

prune10.0ms

localize17.0ms

rewrite42.0ms

series43.0ms

simplify60.0ms

prune206.0ms

localize15.0ms

rewrite69.0ms

series42.0ms

simplify101.0ms

prune449.0ms

localize14.0ms

rewrite46.0ms

series39.0ms

simplify86.0ms

prune285.0ms

localize17.0ms

rewrite74.0ms

series41.0ms

simplify64.0ms

prune285.0ms

regimes192.0ms

bsearch196.0ms

simplify1.0ms

end0.0ms

analyze484.0ms

sample566.0ms

Profiling