Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	31	12
1	168	11
2	965	9
3	5001	8

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize8.0ms

Local error

Found 1 expressions with local error:

15.8b

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
2×	`associate-*l/` `associate-/r/`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

25.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	392
1	1550	273
2	5001	273

prune49.0ms

Filtered

30 candidates to 17 candidates (56.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.2b	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
31×	`times-frac`
25×	`add-exp-log` `add-cbrt-cube`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r` `difference-of-squares`
4×	`pow1` `associate-/r*` `associate-/r/` `unswap-sqr`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `flip--` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 86

Calls

2 calls:

56.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
19.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series167.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
83.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	530	978
1	2493	842
2	5001	833

prune182.0ms

Filtered

92 candidates to 69 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)) (/ i (* 2.0 2.0)))
0.3b	(/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i))
15.0b	(/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

212×	`times-frac`
157×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
104×	`add-cube-cbrt`
94×	`add-exp-log`
53×	`associate-l`
46×	`add-cbrt-cube`
43×	`div-exp`
28×	`prod-exp`
25×	`difference-of-squares`
19×	`cbrt-undiv` `associate-/r*`
12×	`cbrt-unprod`
11×	`div-inv`
10×	`unswap-sqr`
8×	`rec-exp` `1-exp`
7×	`associate-r` `associate-/l*`
6×	`pow1`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`frac-times` `flip3--` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `inv-pow`

Counts

3 → 234

Calls

3 calls:

63.0ms	(* (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)) (/ i (* 2.0 2.0)))
20.0ms	(/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i))
32.0ms	(/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)

series277.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)) (/ i (* 2.0 2.0)))
84.0ms	(/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i))
105.0ms	(/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)

simplify51.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1070	2802
1	5001	2449

prune445.0ms

Filtered

243 candidates to 164 candidates (67.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.1b	(/ 1 (pow i 4))
0.3b	(/ 1 (pow i 2))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`add-exp-log`
15×	`associate-/r*`
12×	`div-exp`
8×	`add-log-exp` `sqr-pow`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
4×	`frac-add` `unpow2`
3×	`pow1` `flip3-+` `sum-log` `flip-+`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `div-inv` `inv-pow`
1×	`+-commutative` `associate-+r+`

Counts

3 → 127

Calls

3 calls:

23.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
4.0ms	(/ 1 (pow i 4))
4.0ms	(/ 1 (pow i 2))

series79.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
27.0ms	(/ 1 (pow i 4))
16.0ms	(/ 1 (pow i 2))

simplify60.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	474	821
1	2042	726
2	5001	650

prune187.0ms

Filtered

136 candidates to 57 candidates (41.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch37.0ms

Steps

Iters	Range		Point
8	6.5002133467297405	9777.759552888077	204.76020695153215

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample395.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
63.0ms	8000×	pre	80	true