Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

268×

body

valid

simplify104.0ms

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	5001	8

prune5.0ms

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: 21.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.6b	(+ (* x y) (* z (- t a)))
20.9b	(/ (+ (* 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:

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

series405.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (* z (- b y)))
33.0ms	(* z (- t a))
40.0ms	(+ (* x y) (* z (- t a)))
300.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

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

prune257.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	87	12	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	12	100

Merged error: 20.9b

Counts

100 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
1.1b	(+ (* x y) (* t z))
1.4b	(+ (+ (* x y) (* t z)) (* z (- a)))
20.9b	(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `sum-log` `flip-+`
4×	`pow1` `associate-+r+` `distribute-rgt-neg-out`
3×	`+-commutative` `associate-/r` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-sub` `unsub-neg` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `associate-+l+` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 74

Calls

4 calls:

3.0ms	(+ y (* 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))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (* z (- b y)))
37.0ms	(+ (* x y) (* t z))
38.0ms	(+ (+ (* x y) (* t z)) (* z (- a)))
287.0ms	(/ (+ (+ (* x y) (* t z)) (* z (- a))) (+ y (* z (- b y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	353	832
1	1420	751
2	5001	744

prune228.0ms

Filtered

86 candidates to 65 candidates (75.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	85	13	98

Merged error: 20.9b

Counts

98 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.6b	(/ 1 (+ y (* z (- b y))))
1.6b	(+ (* x y) (* z (- t a)))
20.5b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite33.0ms

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 (- t a))
8.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* z (- t a))
81.0ms	(/ 1 (+ y (* z (- b y))))
44.0ms	(+ (* x y) (* z (- t a)))
303.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	448	957
1	2212	849
2	5002	823

prune446.0ms

Filtered

128 candidates to 78 candidates (60.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	129	12	141

Merged error: 20.9b

Counts

141 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.6b	(+ (* x y) (* z (- t a)))
20.9b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite34.0ms

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:

7.0ms	(* z (- t a))
9.0ms	(/ 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))))

series1.1s

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- t a))
793.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
45.0ms	(+ (* x y) (* z (- t a)))
265.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify73.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	570	2054
1	2752	1881
2	5001	1793

prune290.0ms

Filtered

168 candidates to 94 candidates (56.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	168	12	180

Merged error: 20.9b

Counts

180 → 12

regimes387.0ms

Accuracy

0% (0.6b remaining)

Error of 22.5b against oracle of 21.8b and baseline of 22.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	29	10
2	30	10
3	30	10

end0.0ms

sample704.0ms

Algorithm

intervals

Results

419.0ms

8397×

body

valid