Details

sample23.0ms

Algorithm

intervals

Results

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

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

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)

	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: 16.3b

Counts

2 → 1

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)))

rewrite15.0ms

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:

14.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(/ (* 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

prune39.0ms

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)))
15.3b	(/ 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×	`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:

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))

series161.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
81.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (53.0ms)

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

prune138.0ms

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

localize14.0ms

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))
0.5b	(/ 1 (pow i 2))

rewrite26.0ms

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:

13.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
4.0ms	(/ 1 (pow i 4))
5.0ms	(/ 1 (pow i 2))

series76.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 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))

simplify59.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	474	797
1	2042	702
2	5001	626

prune152.0ms

Filtered

136 candidates to 57 candidates (41.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Merged error: 0b

Counts

139 → 3

Details

sample23.0ms

simplify32.0ms

prune5.0ms

localize8.0ms

rewrite15.0ms

series81.0ms

simplify40.0ms

prune39.0ms

localize8.0ms

rewrite28.0ms

series161.0ms

simplify64.0ms

prune138.0ms

localize14.0ms

rewrite26.0ms

series76.0ms

simplify59.0ms

prune152.0ms

regimes19.0ms

bsearch3.0ms

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