Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	322×	body	80	valid
1.0ms	14×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify26.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

13.0ms	(* 3.0 (- 2.0 (* x 3.0)))
12.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series159.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* 3.0 (- 2.0 (* x 3.0)))
98.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	229	341
1	1089	292
2	5001	287

prune117.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

2.0ms	(- 6.0 (* 9.0 x))
9.0ms	(* x (- 6.0 (* 9.0 x)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- 6.0 (* 9.0 x))
81.0ms	(* x (- 6.0 (* 9.0 x)))

simplify128.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	173	294
1	705	256
2	3896	252
3	5002	250

prune117.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))
52.0b	(fma (- x) 9.0 (* x 9.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

2.0ms	(- 6.0 (* 9.0 x))
8.0ms	(* x (- 6.0 (* 9.0 x)))
0.0ms	(fma (- x) 9.0 (* x 9.0))

series176.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 6.0 (* 9.0 x))
81.0ms	(* x (- 6.0 (* 9.0 x)))
48.0ms	(fma (- x) 9.0 (* x 9.0))

simplify135.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	183	344
1	749	299
2	4071	295
3	5001	293

prune180.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

8.0ms	(* (- 2.0 (* x 3.0)) x)
11.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series179.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (- 2.0 (* x 3.0)) x)
98.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	190	270
1	791	229
2	5002	221

prune88.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample359.0ms

Algorithm

intervals

Results

190.0ms	9871×	body	80	valid
27.0ms	326×	body	1280	valid
22.0ms	296×	body	640	valid
7.0ms	137×	body	320	valid
2.0ms	59×	body	160	valid