Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

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

prune5.0ms

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: 16.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

15.6b

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

rewrite16.0ms

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:

15.0ms

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

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (9.0ms)

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

prune45.0ms

Filtered

32 candidates to 19 candidates (59.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 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)))
15.0b	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite28.0ms

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:

16.0ms	(* (/ 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))

series170.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify68.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (55.0ms)

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

prune147.0ms

Filtered

96 candidates to 73 candidates (76.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0b

Counts

99 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
0.3b	(/ 1 (pow i 4))
0.6b	(/ 1 (pow i 2))

rewrite14.0ms

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:

1.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
5.0ms	(/ 1 (pow i 4))
5.0ms	(/ 1 (pow i 2))

series81.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
32.0ms	(/ 1 (pow i 4))
17.0ms	(/ 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

prune166.0ms

Filtered

133 candidates to 57 candidates (42.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Merged error: 0b

Counts

136 → 3

regimes17.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.7b

bsearch49.0ms

Steps

Iters	Range		Point
8	183.05816466021565	2468396.482869348	336.9398699916655

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample489.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
91.0ms	8000×	pre	80	true