Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

264×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	5001	8

prune3.0ms

Filtered

1 candidates to 0 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: 24.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.0b	(+ (* x y) (* z (- t a)))
23.8b	(/ (+ (* 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))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- t a))
35.0ms	(* z (- b y))
43.0ms	(+ (* x y) (* z (- t a)))
308.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

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

prune301.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	12	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Merged error: 23.9b

Counts

111 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
1.0b	(+ (* x y) (* t z))
1.6b	(+ (+ (* x y) (* t z)) (* z (- a)))
23.8b	(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-r`
4×	`flip3-+` `sum-log` `distribute-rgt-neg-out` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-sub` `associate-*r/` `unsub-neg` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `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 → 85

Calls

4 calls:

6.0ms	(* z (- b y))
3.0ms	(+ (* x y) (* t z))
6.0ms	(+ (+ (* x y) (* t z)) (* z (- a)))
10.0ms	(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (- b y))
36.0ms	(+ (* x y) (* t z))
39.0ms	(+ (+ (* x y) (* t z)) (* z (- a)))
279.0ms	(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	402	838
1	1845	762
2	5002	757

prune254.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	96	13	109

Merged error: 23.9b

Counts

109 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.7b	(/ 1 (+ y (* z (- b y))))
1.0b	(+ (* x y) (* z (- t a)))
23.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

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)))
11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (- b y))
80.0ms	(/ 1 (+ y (* z (- b y))))
41.0ms	(+ (* x y) (* z (- t a)))
306.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	449	957
1	2234	849
2	5001	823

prune273.0ms

Filtered

128 candidates to 78 candidates (60.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	128	13	141

Merged error: 23.9b

Counts

141 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.0b	(+ (* x y) (* z (- t a)))
23.9b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite35.0ms

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))
11.0ms	(/ 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))))

series1.2s

Counts

4 → 12

Calls

4 calls:

55.0ms	(* z (- b y))
850.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
42.0ms	(+ (* x y) (* z (- t a)))
267.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify79.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	576	2059
1	2790	1881
2	5001	1793

prune293.0ms

Filtered

168 candidates to 95 candidates (56.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	1	9	10
Picked	1	0	1
Done	1	1	2
Total	170	11	181

Merged error: 23.9b

Counts

181 → 11

regimes345.0ms

Accuracy

0% (0.7b remaining)

Error of 23.6b against oracle of 22.9b and baseline of 23.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample800.0ms

Algorithm

intervals

Results

454.0ms

8427×

body

valid