Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample31.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

prune14.0ms

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: 10.1b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.8b	(/ (* y z) t)
7.5b	(/ (* y b) t)
9.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

9.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)
12.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
37.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5026	1713

prune195.0ms

Filtered

79 candidates to 118 candidates (-49.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	104	14	118
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	106	14	120

Merged error: 7.3b

Counts

120 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.9b	(* (* y z) (/ 1 t))
7.5b	(/ (* y b) t)
9.1b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
33×	`add-exp-log`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
15×	`distribute-lft-out`
13×	`associate-r` `prod-exp`
9×	`pow1` `add-log-exp`
8×	`associate-/r*`
7×	`div-exp` `cbrt-unprod`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`frac-add` `associate-/r/` `associate-/l*`
3×	`pow-prod-down` `sum-log` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-r/` `associate-l` `un-div-inv` `-commutative`

Counts

4 → 117

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
9.0ms	(* (* y z) (/ 1 t))
4.0ms	(/ (* y b) t)
11.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(* (* y z) (/ 1 t))
5.0ms	(/ (* y b) t)
37.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4977	1678
1	4977	1678

prune175.0ms

Filtered

81 candidates to 129 candidates (-59.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	129	14	143

Merged error: 7.3b

Counts

143 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ a (+ 1.0 (* (/ b t) y))))
4.8b	(/ (* y z) t)
4.9b	(* (/ b t) y)
8.9b	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* (/ b t) y)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
39×	`times-frac`
32×	`add-cube-cbrt`
27×	`add-exp-log`
21×	`associate-r` `add-cbrt-cube`
17×	`associate-l`
9×	`pow1`
8×	`distribute-lft-out`
7×	`div-exp` `prod-exp` `associate-/r*`
5×	`cbrt-undiv` `cbrt-unprod` `unswap-sqr`
4×	`flip3-+` `associate-/r/` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
3×	`associate-*l/`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow-flip` `associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 136

Calls

4 calls:

6.0ms	(/ 1 (+ a (+ 1.0 (* (/ b t) y))))
4.0ms	(/ (* y z) t)
6.0ms	(* (/ b t) y)
14.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* (/ b t) y)))))

series62.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ 1 (+ a (+ 1.0 (* (/ b t) y))))
4.0ms	(/ (* y z) t)
5.0ms	(* (/ b t) y)
39.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* (/ b t) y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4986	1838
1	4986	1838

prune216.0ms

Filtered

98 candidates to 148 candidates (-51.0%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	143	5	148
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	147	15	162

Merged error: 7.3b

Counts

162 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (/ (* (cbrt b) (cbrt b)) 1) (* y (/ (cbrt b) t)))
2.1b	(* y (/ (cbrt b) t))
4.8b	(/ (* y z) t)
8.9b	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* (/ (* (cbrt b) (cbrt b)) 1) (* y (/ (cbrt b) t)))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-exp-log`
46×	`add-sqr-sqrt`
45×	`add-cbrt-cube`
41×	`associate-r`
40×	`*-un-lft-identity` `times-frac`
38×	`prod-exp`
31×	`add-cube-cbrt`
23×	`cbrt-unprod`
22×	`div-exp`
14×	`associate-l`
13×	`pow1` `cbrt-undiv`
10×	`cbrt-prod`
7×	`1-exp`
6×	`unswap-sqr`
5×	`associate-*r/` `pow-prod-down`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`frac-times` `flip3-+` `associate-l/` `associate-/r` `*-commutative` `flip-+`
2×	`associate-/r/`
1×	`rec-exp` `frac-2neg` `clear-num` `un-div-inv` `associate-/l*`

Counts

4 → 154

Calls

4 calls:

11.0ms	(* (/ (* (cbrt b) (cbrt b)) 1) (* y (/ (cbrt b) t)))
8.0ms	(* y (/ (cbrt b) t))
6.0ms	(/ (* y z) t)
15.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* (/ (* (cbrt b) (cbrt b)) 1) (* y (/ (cbrt b) t)))))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (/ (* (cbrt b) (cbrt b)) 1) (* y (/ (cbrt b) t)))
23.0ms	(* y (/ (cbrt b) t))
5.0ms	(/ (* y z) t)
42.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ a (+ 1.0 (* (/ (* (cbrt b) (cbrt b)) 1) (* y (/ (cbrt b) t)))))))

simplify87.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4966	1706
1	4966	1706

prune159.0ms

Filtered

100 candidates to 166 candidates (-66.0%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	166	15	181

Merged error: 7.3b

Counts

181 → 15

regimes973.0ms

Accuracy

0% (5.6b remaining)

Error of 16.5b against oracle of 11.0b and baseline of 16.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms

sample707.0ms

Algorithm

intervals

Results

428.0ms	8000×	body	80	valid
16.0ms	309×	body	80	invalid

Details

analyze1.2s

sample31.0ms

simplify3.0ms

prune14.0ms

localize12.0ms

rewrite33.0ms

series55.0ms

simplify39.0ms

prune195.0ms

localize13.0ms

rewrite34.0ms

series54.0ms

simplify61.0ms

prune175.0ms

localize13.0ms

rewrite34.0ms

series62.0ms

simplify53.0ms

prune216.0ms

localize18.0ms

rewrite46.0ms

series77.0ms

simplify87.0ms

prune159.0ms

regimes973.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample707.0ms

Profiling