Details

sample16.0ms

Algorithm

intervals

Results

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

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (29.0ms)

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 16.6b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

16.1b

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

rewrite14.0ms

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:

13.0ms

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

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (8.0ms)

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

prune46.0ms

Filtered

30 candidates to 17 candidates (56.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

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)))
15.5b	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite27.0ms

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:

15.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
9.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series168.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
85.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (54.0ms)

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

prune176.0ms

Filtered

92 candidates to 69 candidates (75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.00390625 (/ 1 (pow i 4)))
0.0b	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.3b	(/ 1 (pow i 4))
0.6b	(/ 1 (pow i 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
67×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
52×	`add-cube-cbrt`
42×	`add-exp-log`
35×	`unpow-prod-down`
25×	`associate-r`
18×	`div-exp`
15×	`associate-/r*`
13×	`add-cbrt-cube` `sqr-pow`
10×	`prod-exp`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `add-log-exp`
7×	`unswap-sqr`
6×	`pow1` `associate-/l*`
4×	`frac-add` `unpow2`
3×	`cbrt-undiv` `flip3-+` `associate-r/` `associate-l*` `sum-log` `un-div-inv` `flip-+` `div-inv`
2×	`pow-flip` `frac-2neg` `clear-num` `cbrt-unprod` `inv-pow`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `*-commutative`

Counts

4 → 185

Calls

4 calls:

13.0ms	(* 0.00390625 (/ 1 (pow i 4)))
13.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
5.0ms	(/ 1 (pow i 4))
5.0ms	(/ 1 (pow i 2))

series119.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 0.00390625 (/ 1 (pow i 4)))
37.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
29.0ms	(/ 1 (pow i 4))
16.0ms	(/ 1 (pow i 2))

simplify76.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	620	1113
1	2778	964
2	5001	861

prune293.0ms

Filtered

197 candidates to 91 candidates (46.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	197	3	200

Merged error: 0b

Counts

200 → 3

regimes17.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch46.0ms

Steps

Iters	Range		Point
9	186.20284390131098	5469466370.794394	251.35206175244863

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample360.0ms

Algorithm

intervals

Results

209.0ms	8000×	body	80	valid
63.0ms	8000×	pre	80	true