Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

271×

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

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: 23.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.3b	(+ (* x y) (* z (- t a)))
23.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite29.0ms

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

series121.0ms

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))))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (10.0ms)

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

prune171.0ms

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: 23.1b

Counts

111 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(+ (* x y) (* z (- t a)))
0.3b	(/ 1 (+ y (* z (- b y))))
22.8b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

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

series130.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
14.0ms	(+ (* x y) (* z (- t a)))
17.0ms	(/ 1 (+ y (* z (- b y))))
92.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

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

prune169.0ms

Filtered

77 candidates to 128 candidates (-66.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	127	13	140

Merged error: 23.1b

Counts

140 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.3b	(+ (* x y) (* z (- t a)))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
22.8b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite29.0ms

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)))
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))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
15.0ms	(+ (* x y) (* z (- t a)))
162.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
66.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify64.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (47.0ms)

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

prune147.0ms

Filtered

88 candidates to 157 candidates (-78.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	157	13	170

Merged error: 23.1b

Counts

170 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x y) (* z (- t a)))
0.3b	(/ 1 (+ y (* z (- b y))))
0.9b	(/ 1 (+ (* x y) (* z (- t a))))
22.1b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite51.0ms

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)))
4.0ms	(/ 1 (+ y (* z (- b y))))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
17.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x y) (* z (- t a)))
18.0ms	(/ 1 (+ y (* z (- b y))))
23.0ms	(/ 1 (+ (* x y) (* z (- t a))))
166.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify101.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1647	7166
1	5001	6605

prune350.0ms

Filtered

188 candidates to 380 candidates (-102.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	378	2	380
Fresh	0	9	9
Picked	0	1	1
Done	2	1	3
Total	380	13	393

Merged error: 23.0b

Counts

393 → 13

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 23.0b against oracle of 22.3b and baseline of 23.0b

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

404.0ms

8392×

body

valid

Details

sample34.0ms

simplify113.0ms

prune5.0ms

localize11.0ms

rewrite29.0ms

series121.0ms

simplify48.0ms

prune171.0ms

localize15.0ms

rewrite28.0ms

series130.0ms

simplify60.0ms

prune169.0ms

localize13.0ms

rewrite29.0ms

series250.0ms

simplify64.0ms

prune147.0ms

localize13.0ms

rewrite51.0ms

series221.0ms

simplify101.0ms

prune350.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample919.0ms

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