Details

analyze1.0s

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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune12.0ms

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: 0.0b

Counts

2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
0.0b	(/ (- z y) (+ t (- 1.0 z)))
1.7b	(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
9.0ms	(/ (- z y) (+ t (- 1.0 z)))
15.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

series63.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
10.0ms	(/ (- z y) (+ t (- 1.0 z)))
19.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	1564
1	4968	1564

prune132.0ms

Filtered

76 candidates to 122 candidates (-60.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
0.0b	(/ 1 (+ t (- 1.0 z)))
0.1b	(* (- z y) (/ 1 (+ t (- 1.0 z))))
1.7b	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `pow-prod-down` `associate-*l/` `associate-/r/` `flip--`
3×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `clear-num` `sum-log` `inv-pow` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

4.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
7.0ms	(/ 1 (+ t (- 1.0 z)))
15.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
14.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

series69.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
5.0ms	(/ 1 (+ t (- 1.0 z)))
13.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
19.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

simplify28.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5048	1531

prune132.0ms

Filtered

85 candidates to 142 candidates (-67.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	142	5	147

Merged error: 0b

Counts

147 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
10.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 191

Calls

3 calls:

33.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(/ (+ (- t z) 1.0) a)
13.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
7.0ms	(/ (+ (- t z) 1.0) a)
28.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify57.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5358	3545

prune187.0ms

Filtered

121 candidates to 200 candidates (-65.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	2	0	2
Picked	0	1	1
Done	1	1	2
Total	202	3	205

Merged error: 0b

Counts

205 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
9.9b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
10.0ms	(/ a (+ (- t z) 1.0))
16.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
9.0ms	(/ a (+ (- t z) 1.0))
18.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5018	1252

prune99.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes429.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample591.0ms

Algorithm

intervals

Results

317.0ms	7998×	body	80	valid
22.0ms	500×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze1.0s

sample23.0ms

simplify47.0ms

prune12.0ms

localize14.0ms

rewrite32.0ms

series63.0ms

simplify54.0ms

prune132.0ms

localize10.0ms

rewrite45.0ms

series69.0ms

simplify28.0ms

prune132.0ms

localize9.0ms

rewrite64.0ms

series67.0ms

simplify57.0ms

prune187.0ms

localize9.0ms

rewrite32.0ms

series58.0ms

simplify42.0ms

prune99.0ms

regimes429.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample591.0ms

Profiling