Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

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

prune6.0ms

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

localize11.0ms

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))))

rewrite25.0ms

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

series113.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
87.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

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

prune393.0ms

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

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

rewrite29.0ms

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

series235.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
151.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
64.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify75.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (53.0ms)

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

prune615.0ms

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

localize17.0ms

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)))))

rewrite27.0ms

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)))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* z (- t a))
16.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
88.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	448	955
1	2212	847
2	5002	821

prune428.0ms

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

localize16.0ms

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)))))

rewrite47.0ms

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

series205.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 1 (+ (* x y) (* z (- t a))))
16.0ms	(/ 1 (+ y (* z (- b y))))
15.0ms	(+ (* x y) (* z (- t a)))
155.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (34.0ms)

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

regimes1.3s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample925.0ms

Algorithm

intervals

Results

411.0ms

8431×

body

valid

Details

sample35.0ms

simplify109.0ms

prune6.0ms

localize11.0ms

rewrite25.0ms

series113.0ms

simplify46.0ms

prune393.0ms

localize13.0ms

rewrite29.0ms

series235.0ms

simplify75.0ms

prune615.0ms

localize17.0ms

rewrite27.0ms

series126.0ms

simplify64.0ms

prune428.0ms

localize16.0ms

rewrite47.0ms

series205.0ms

simplify96.0ms

prune1.6s

regimes1.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample925.0ms

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