Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	313×	body	80	valid
4.0ms	7×	body	1280	valid
2.0ms	12×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	81	4
3	166	4
4	225	4
5	227	4
6	227	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
9.0ms	(* 3.0 (- 2.0 (* x 3.0)))
11.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series186.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 2.0 (* x 3.0))
60.0ms	(* 3.0 (- 2.0 (* x 3.0)))
89.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	253	437
1	1184	374
2	5002	369

prune150.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

8.0ms

(* x (- 6.0 (* 9.0 x)))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(* x (- 6.0 (* 9.0 x)))

simplify113.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	151	198
1	642	173
2	3595	170
3	5001	162

prune63.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))
53.7b	(fma (- x) 9.0 (* x 9.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

8.0ms	(* x (- 6.0 (* 9.0 x)))
0.0ms	(fma (- x) 9.0 (* x 9.0))

series120.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* x (- 6.0 (* 9.0 x)))
47.0ms	(fma (- x) 9.0 (* x 9.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	161	248
1	675	216
2	3770	213
3	5001	213

prune112.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 6.0) (* x (- (* 9.0 x))))
0.2b	(* x (- (* 9.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `fma-def` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ (* x 6.0) (* x (- (* 9.0 x))))
5.0ms	(* x (- (* 9.0 x)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(+ (* x 6.0) (* x (- (* 9.0 x))))
26.0ms	(* x (- (* 9.0 x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	190	227
1	949	199
2	5002	196

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	21	4
3	21	4

end0.0ms

sample618.0ms

Algorithm

intervals

Results

379.0ms	9853×	body	80	valid
63.0ms	345×	body	1280	valid
36.0ms	268×	body	640	valid
17.0ms	159×	body	320	valid
5.0ms	66×	body	160	valid