Details

sample18.0ms

Algorithm

intervals

Results

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

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	32	12
1	172	11
2	974	9
3	5001	8

prune4.0ms

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)))

rewrite22.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

21.0ms

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

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	319	406
1	1586	285
2	5001	285

prune53.0ms

Filtered

32 candidates to 19 candidates (59.4%)

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))

rewrite78.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 90

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))

series156.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
80.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	549	997
1	2561	859
2	5001	846

prune180.0ms

Filtered

96 candidates to 73 candidates (76.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)

rewrite123.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 240

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))
28.0ms	(/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)

series265.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* (/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)) (/ i (* 2.0 2.0)))
80.0ms	(/ 1 (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i))
105.0ms	(/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i)

simplify53.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1091	2824
1	5001	2469

prune466.0ms

Filtered

249 candidates to 170 candidates (68.3%)

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	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
0.1b	(/ 1 (pow i 4))
0.3b	(/ 1 (pow i 2))

rewrite11.0ms

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×	`sqr-pow`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
4×	`unpow2`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `div-inv` `inv-pow`
1×	`fma-udef`

Counts

3 → 124

Calls

3 calls:

0.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
4.0ms	(/ 1 (pow i 4))
4.0ms	(/ 1 (pow i 2))

series77.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
31.0ms	(/ 1 (pow i 4))
16.0ms	(/ 1 (pow i 2))

simplify37.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	300	623
1	1163	535
2	5001	459

prune206.0ms

Filtered

133 candidates to 57 candidates (42.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes18.0ms

Accuracy

100% (0.0b remaining)

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

bsearch43.0ms

Steps

Iters	Range		Point
8	6.5002133467297405	9777.759552888077	204.76020695153215

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample380.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	80	valid
65.0ms	8000×	pre	80	true