Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

268×

body

valid

simplify110.0ms

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

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: 23.6b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.8b	(+ (* x y) (* z (- t a)))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite26.0ms

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 (- 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))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
90.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

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

prune179.0ms

Filtered

110 candidates to 74 candidates (32.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	97	13	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Merged error: 22.9b

Counts

111 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.6b	(/ 1 (+ y (* z (- b y))))
0.8b	(+ (* x y) (* z (- t a)))
22.6b	(* (+ (* 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 (- t a))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series123.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (- t a))
16.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
86.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

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

prune145.0ms

Filtered

128 candidates to 76 candidates (40.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	128	13	141

Merged error: 22.9b

Counts

141 → 13

localize214.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.5b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.8b	(+ (* x y) (* z (- t a)))
22.8b	(/ (+ 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:

6.0ms	(* 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))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
154.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
65.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify72.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (54.0ms)

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

prune154.0ms

Filtered

168 candidates to 92 candidates (45.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	168	13	181

Merged error: 22.9b

Counts

181 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.8b	(+ (* x y) (* z (- t a)))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

series151.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
21.0ms	(cbrt z)
12.0ms	(+ (* x y) (* z (- t a)))
96.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

simplify40.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	309	860
1	1109	784
2	5002	762

prune74.0ms

Filtered

80 candidates to 61 candidates (23.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	80	13	93

Merged error: 22.9b

Counts

93 → 13

regimes1.0s

Accuracy

0% (0.7b remaining)

Error of 23.2b against oracle of 22.5b and baseline of 23.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample941.0ms

Algorithm

intervals

Results

423.0ms

8436×

body

valid

Details

sample34.0ms

simplify110.0ms

prune5.0ms

localize16.0ms

rewrite26.0ms

series117.0ms

simplify52.0ms

prune179.0ms

localize13.0ms

rewrite28.0ms

series123.0ms

simplify59.0ms

prune145.0ms

localize214.0ms

rewrite31.0ms

series239.0ms

simplify72.0ms

prune154.0ms

localize15.0ms

rewrite14.0ms

series151.0ms

simplify40.0ms

prune74.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample941.0ms

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