Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

270×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5002	8

prune5.0ms

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: 22.5b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(+ y (* z (- b y)))
1.4b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(* z (- t a))
3.0ms	(+ y (* z (- b y)))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
7.0ms	(+ y (* z (- b y)))
13.0ms	(+ (* x y) (* z (- t a)))
90.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	359	708
1	1499	648
2	5001	648

prune155.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 21.8b

Counts

100 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.4b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
155.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
14.0ms	(+ (* x y) (* z (- t a)))
62.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify67.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	525	2046
1	2373	1868
2	5002	1780

prune159.0ms

Filtered

88 candidates to 157 candidates (-78.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	155	12	167

Merged error: 21.8b

Counts

167 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.5b	(/ 1 (+ y (* z (- b y))))
1.4b	(+ (* x y) (* z (- t a)))
21.6b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`associate-+r+` `add-log-exp`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `frac-times` `rec-exp` `1-exp` `associate-*l/` `sum-log` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 105

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series124.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
89.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	400	949
1	1818	836
2	5001	810

prune139.0ms

Filtered

73 candidates to 117 candidates (-60.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	117	12	129

Merged error: 21.8b

Counts

129 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.6b	(/ 1 (+ (* x y) (* z (- t a))))
1.4b	(+ (* x y) (* z (- t a)))
21.5b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`frac-times` `associate-+r+` `associate-l/` `associate-/r` `cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `sum-log` `*-commutative`

Counts

4 → 134

Calls

4 calls:

10.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
36.0ms	(/ 1 (+ (* x y) (* z (- t a))))
17.0ms	(+ (* x y) (* z (- t a)))
64.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	499	1404
1	2401	1184
2	5001	1145

prune102.0ms

Filtered

77 candidates to 146 candidates (-89.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	146	12	158

Merged error: 21.8b

Counts

158 → 12

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 22.8b against oracle of 22.0b and baseline of 22.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample919.0ms

Algorithm

intervals

Results

415.0ms

8443×

body

valid

Details

sample34.0ms

simplify114.0ms

prune5.0ms

localize17.0ms

rewrite23.0ms

series116.0ms

simplify49.0ms

prune155.0ms

localize13.0ms

rewrite30.0ms

series238.0ms

simplify67.0ms

prune159.0ms

localize16.0ms

rewrite25.0ms

series124.0ms

simplify58.0ms

prune139.0ms

localize14.0ms

rewrite34.0ms

series274.0ms

simplify60.0ms

prune102.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample919.0ms

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