Details

sample17.0ms

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 (29.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
15.1b	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-*l/` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `frac-2neg` `times-frac` `fma-neg` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

2 → 48

Calls

2 calls:

7.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
14.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
78.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	390	550
1	1886	402
2	5001	398

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.3b	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
14.3b	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
26×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`prod-exp` `cbrt-unprod` `div-inv`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `expm1-log1p-u` `prod-diff` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `associate-/r/` `difference-of-squares`

Counts

3 → 98

Calls

3 calls:

7.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
13.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
13.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

series255.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
79.0ms	(/ i (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i))
122.0ms	(/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i)

simplify82.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	534	1135
1	2701	958
2	5003	947

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 16.0 i) (* 4.0 (/ 1 i)))
0.3b	(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 47

Calls

2 calls:

7.0ms	(- (* 16.0 i) (* 4.0 (/ 1 i)))
5.0ms	(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

series150.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (* 16.0 i) (* 4.0 (/ 1 i)))
89.0ms	(/ i (- (* 16.0 i) (* 4.0 (/ 1 i))))

simplify225.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	247	430
1	957	391
2	4947	386
3	5001	386

prune103.0ms

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))
0.2b	(/ 1 (pow i 4))
0.6b	(/ 1 (pow i 2))

rewrite15.0ms

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))

series78.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
27.0ms	(/ 1 (pow i 4))
16.0ms	(/ 1 (pow i 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (28.0ms)

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

prune192.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample364.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
58.0ms	8000×	pre	80	true