Details

sample20.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
14.1b	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`add-sqr-sqrt`
2×	`pow1` `add-cube-cbrt` `flip3--` `-un-lft-identity` `associate-l/` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

11.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
22.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
83.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	342	496
1	1633	364
2	5001	364

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
14.1b	(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log` `add-cbrt-cube`
22×	`prod-exp` `cbrt-unprod`
12×	`associate-*l/`
10×	`cbrt-undiv` `div-exp`
8×	`frac-times` `associate-/r/`
6×	`add-sqr-sqrt` `flip3--` `flip3-+` `flip--` `flip-+`
4×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-log-exp`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

26.0ms	(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
38.0ms	(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

series375.0ms

Counts

2 → 6

Calls

2 calls:

178.0ms	(* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0)))
197.0ms	(/ (* i i) (* (* (+ (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	628	1179
1	3646	850
2	5001	825

prune144.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))))
0.2b	(/ (pow (sqrt 1.0) 4) (pow i 4))
0.2b	(/ (* 0.015625 1.0) (pow i 2))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

87×	`unpow-prod-down`
78×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`sqrt-prod`
21×	`sqr-pow`
15×	`div-exp` `associate-/r*`
11×	`associate-/l*`
10×	`add-cbrt-cube`
8×	`pow-to-exp` `pow-exp` `add-log-exp`
3×	`pow1` `cbrt-undiv` `prod-exp` `sum-log`
2×	`frac-2neg` `flip3-+` `associate-*r/` `frac-add` `clear-num` `flip-+` `div-inv` `unpow2`
1×	`+-commutative` `associate-+l+` `cbrt-unprod`

Counts

3 → 157

Calls

3 calls:

52.0ms	(+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))))
8.0ms	(/ (pow (sqrt 1.0) 4) (pow i 4))
5.0ms	(/ (* 0.015625 1.0) (pow i 2))

series205.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4))))
102.0ms	(/ (pow (sqrt 1.0) 4) (pow i 4))
29.0ms	(/ (* 0.015625 1.0) (pow i 2))

simplify68.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	590	1436
1	2632	1227
2	5002	1119

prune351.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.9b

bsearch44.0ms

Steps

Iters	Range		Point
8	0.50163782953455	244.25361255399255	219.76498440921787

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms

sample384.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
65.0ms	8000×	pre	80	true