Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

268×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5081	17

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: 24.8b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.2b	(+ (* x y) (* z (- t a)))
23.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite27.0ms

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:

8.0ms	(* 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))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
88.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify37.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4998	1348
1	4998	1348

prune161.0ms

Filtered

74 candidates to 110 candidates (-48.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	99	11	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	12	111

Merged error: 24.2b

Counts

111 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(+ (* x y) (* z (- t a)))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
23.9b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

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:

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

series244.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
160.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
64.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify65.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5752	3664

prune174.0ms

Filtered

112 candidates to 168 candidates (-50.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	3	7	10
Picked	0	1	1
Done	1	0	1
Total	170	10	180

Merged error: 24.2b

Counts

180 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* x y) (* z (- t a)))
0.7b	(/ 1 (+ (* x y) (* z (- t a))))
0.8b	(/ 1 (+ y (* z (- b y))))
22.8b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `pow-flip` `distribute-lft-in` `inv-pow`
1×	`+-commutative` `sum-log` `associate-/l/`

Counts

4 → 368

Calls

4 calls:

4.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
6.0ms	(/ 1 (+ y (* z (- b y))))
15.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (* x y) (* z (- t a)))
23.0ms	(/ 1 (+ (* x y) (* z (- t a))))
17.0ms	(/ 1 (+ y (* z (- b y))))
360.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify117.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5098	12265

prune333.0ms

Filtered

193 candidates to 380 candidates (-96.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	379	1	380
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	380	10	390

Merged error: 24.2b

Counts

390 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- b y))
0.5b	(cbrt (- b y))
0.5b	(cbrt (- b y))
23.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`cbrt-prod` `add-cube-cbrt`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--` `difference-of-squares`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 76

Calls

4 calls:

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

series174.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- b y))
27.0ms	(cbrt (- b y))
28.0ms	(cbrt (- b y))
93.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4925	1210
1	4925	1210

prune82.0ms

Filtered

66 candidates to 88 candidates (-33.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	88	10	98

Merged error: 24.2b

Counts

98 → 10

regimes888.0ms

Accuracy

0% (0.7b remaining)

Error of 23.3b against oracle of 22.6b and baseline of 23.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	19
1	22	19

end0.0ms

sample948.0ms

Algorithm

intervals

Results

431.0ms

8424×

body

valid

Details

sample42.0ms

simplify57.0ms

prune5.0ms

localize11.0ms

rewrite27.0ms

series115.0ms

simplify37.0ms

prune161.0ms

localize13.0ms

rewrite31.0ms

series244.0ms

simplify65.0ms

prune174.0ms

localize14.0ms

rewrite50.0ms

series412.0ms

simplify117.0ms

prune333.0ms

localize16.0ms

rewrite18.0ms

series174.0ms

simplify63.0ms

prune82.0ms

regimes888.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample948.0ms

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