Details

sample48.0ms

Algorithm

intervals

Results

17.0ms

267×

body

valid

simplify113.0ms

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

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 22.4b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

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

series120.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
7.0ms	(* z (- b y))
14.0ms	(+ (* x y) (* z (- t a)))
93.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	401	714
1	1759	659
2	5001	659

prune547.0ms

Filtered

110 candidates to 74 candidates (32.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	94	16	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	17	111

Merged error: 21.8b

Counts

111 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
0.7b	(+ (* x y) (* z (- t a)))
21.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- b y))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
12.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
90.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	449	955
1	2234	847
2	5001	821

prune488.0ms

Filtered

128 candidates to 77 candidates (39.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	5	10	15
Picked	0	1	1
Done	0	1	1
Total	130	15	145

Merged error: 21.8b

Counts

145 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.7b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

6.0ms	(* 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))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
159.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
15.0ms	(+ (* x y) (* z (- t a)))
66.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify74.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	576	2057
1	2790	1879
2	5001	1791

prune647.0ms

Filtered

168 candidates to 94 candidates (44.0%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	1	11	12
Picked	0	1	1
Done	0	2	2
Total	168	15	183

Merged error: 21.8b

Counts

183 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- b y))
0.5b	(* (cbrt (- b y)) (cbrt (- b y)))
0.7b	(+ (* x y) (* z (- t a)))
21.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
33×	`cbrt-prod`
21×	`add-cube-cbrt`
14×	`cbrt-div`
11×	`pow1`
10×	`swap-sqr`
9×	`times-frac`
8×	`add-exp-log` `associate-r` `associate-l`
7×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
6×	`add-cbrt-cube` `add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `associate-+r+` `unswap-sqr`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 117

Calls

4 calls:

3.0ms	(cbrt (- b y))
10.0ms	(* (cbrt (- b y)) (cbrt (- b y)))
4.0ms	(+ (* x y) (* z (- t a)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series162.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- b y))
29.0ms	(* (cbrt (- b y)) (cbrt (- b y)))
14.0ms	(+ (* x y) (* z (- t a)))
92.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	524	1423
1	1906	1311
2	5001	1260

prune896.0ms

Filtered

129 candidates to 89 candidates (31.0%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	11	11
Picked	0	1	1
Done	0	3	3
Total	127	17	144

Merged error: 21.8b

Counts

144 → 17

regimes1.4s

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.8b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample866.0ms

Algorithm

intervals

Results

376.0ms

8400×

body

valid

Details

sample48.0ms

simplify113.0ms

prune7.0ms

localize16.0ms

rewrite26.0ms

series120.0ms

simplify50.0ms

prune547.0ms

localize12.0ms

rewrite30.0ms

series126.0ms

simplify57.0ms

prune488.0ms

localize13.0ms

rewrite32.0ms

series248.0ms

simplify74.0ms

prune647.0ms

localize15.0ms

rewrite30.0ms

series162.0ms

simplify61.0ms

prune896.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample866.0ms

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