Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

268×

body

valid

simplify105.0ms

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	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 22.8b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
0.4b	(+ (* x y) (* z (- t a)))
22.1b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite22.0ms

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))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (* z (- b y)))
36.0ms	(* z (- t a))
39.0ms	(+ (* x y) (* z (- t a)))
302.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (10.0ms)

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

prune266.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	86	13	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	14	100

Merged error: 22.1b

Counts

100 → 14

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)))))
0.4b	(+ (* x y) (* z (- t a)))
22.0b	(/ (+ 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))
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))))

series1.2s

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- t a))
808.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
44.0ms	(+ (* x y) (* z (- t a)))
262.0ms	(/ (+ 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	2054
1	2752	1881
2	5001	1793

prune325.0ms

Filtered

168 candidates to 92 candidates (54.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	163	5	168
Fresh	5	7	12
Picked	1	0	1
Done	0	1	1
Total	169	13	182

Merged error: 22.1b

Counts

182 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
0.2b	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
0.4b	(+ (* x y) (* z (- t a)))
22.1b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

528×	`times-frac`
255×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
68×	`associate-/r*`
60×	`add-exp-log`
43×	`div-exp`
40×	`associate-/r/`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `flip-+`
15×	`rec-exp` `1-exp`
10×	`cbrt-undiv`
9×	`associate-/l*`
7×	`pow1`
6×	`add-log-exp`
5×	`pow-flip`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/l/`
1×	`+-commutative` `sum-log` `remove-double-div`

Counts

4 → 373

Calls

4 calls:

8.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
15.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series806.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
314.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
41.0ms	(+ (* x y) (* z (- t a)))
317.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

385 → 385

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1213	6664
1	5002	5715

prune690.0ms

Filtered

385 candidates to 190 candidates (49.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	384	1	385
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	384	14	398

Merged error: 22.1b

Counts

398 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.4b	(+ (* x y) (* z (- t a)))
0.8b	(/ 1 (+ (* x y) (* z (- t a))))
21.3b	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `add-cbrt-cube`
16×	`prod-exp`
15×	`associate-r`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
4×	`frac-times` `associate-+r+` `associate-l/` `associate-/r` `cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `inv-pow`
1×	`+-commutative` `sum-log` `*-commutative`

Counts

4 → 134

Calls

4 calls:

10.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
4.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
10.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

822.0ms	(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
40.0ms	(+ (* x y) (* z (- t a)))
56.0ms	(/ 1 (+ (* x y) (* z (- t a))))
265.0ms	(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	499	1409
1	2391	1189
2	5003	1150

prune280.0ms

Filtered

146 candidates to 80 candidates (54.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	146	14	160

Merged error: 22.1b

Counts

160 → 14

regimes473.0ms

Accuracy

0% (0.6b remaining)

Error of 23.0b against oracle of 22.4b and baseline of 23.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample701.0ms

Algorithm

intervals

Results

420.0ms

8430×

body

valid