Details

sample35.0ms

Algorithm

intervals

Results

12.0ms

264×

body

valid

simplify109.0ms

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

prune9.0ms

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: 25.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.4b	(+ (* x y) (* z (- t a)))
25.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite21.0ms

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))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (* z (- b y)))
42.0ms	(* z (- t a))
42.0ms	(+ (* x y) (* z (- t a)))
338.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (9.0ms)

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

prune379.0ms

Filtered

99 candidates to 69 candidates (30.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Merged error: 25.1b

Counts

100 → 10

localize12.0ms

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)))))
1.4b	(+ (* x y) (* z (- t a)))
25.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite30.0ms

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 (- t a))
8.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
6.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.3s

Counts

4 → 12

Calls

4 calls:

44.0ms	(* z (- t a))
915.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
45.0ms	(+ (* x y) (* z (- t a)))
341.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify75.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	570	2052
1	2752	1879
2	5001	1791

prune595.0ms

Filtered

168 candidates to 91 candidates (45.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	166	12	178

Merged error: 25.1b

Counts

178 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.9b	(/ 1 (+ y (* z (- b y))))
1.4b	(+ (* x y) (* z (- t a)))
24.2b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite26.0ms

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

series518.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (- t a))
94.0ms	(/ 1 (+ y (* z (- b y))))
42.0ms	(+ (* x y) (* z (- t a)))
341.0ms	(* (+ (* 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	955
1	2212	847
2	5002	821

prune426.0ms

Filtered

128 candidates to 76 candidates (40.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	128	12	140

Merged error: 25.1b

Counts

140 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 1 (+ (* x y) (* z (- t a))))
0.9b	(/ 1 (+ y (* z (- b y))))
1.4b	(+ (* x y) (* z (- t a)))
23.9b	(/ (/ 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:

5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
18.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ 1 (+ (* x y) (* z (- t a))))
90.0ms	(/ 1 (+ y (* z (- b y))))
42.0ms	(+ (* x y) (* z (- t a)))
1.2s	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1647	7166
1	5001	6605

prune1.6s

Filtered

380 candidates to 188 candidates (50.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	380	12	392

Merged error: 25.1b

Counts

392 → 12

regimes1.0s

Accuracy

0% (0.6b remaining)

Error of 23.1b against oracle of 22.5b and baseline of 23.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample893.0ms

Algorithm

intervals

Results

388.0ms

8431×

body

valid

Details

sample35.0ms

simplify109.0ms

prune9.0ms

localize12.0ms

rewrite21.0ms

series453.0ms

simplify44.0ms

prune379.0ms

localize12.0ms

rewrite30.0ms

series1.3s

simplify75.0ms

prune595.0ms

localize12.0ms

rewrite26.0ms

series518.0ms

simplify60.0ms

prune426.0ms

localize14.0ms

rewrite51.0ms

series1.4s

simplify104.0ms

prune1.6s

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample893.0ms

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