Details

sample301.0ms

Algorithm

intervals

Results

5.0ms	77×	body	1280	valid
4.0ms	176×	body	80	valid
3.0ms	52×	body	640	valid
1.0ms	19×	body	320	valid
0.0ms	12×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	40	4
2	123	4
3	279	4
4	490	4
5	713	4
6	1046	4
7	2001	4
8	3844	4
9	5001	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize6.0ms

Local error

Found 1 expressions with local error:

3.6b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `prod-diff` `add-log-exp`
2×	`add-cube-cbrt` `*-un-lft-identity` `associate--l+`
1×	`pow1` `add-exp-log` `distribute-rgt-in` `expm1-log1p-u` `sub-neg` `flip3--` `distribute-lft-in` `fma-neg` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`

Counts

1 → 21

Calls

1 calls:

43.0ms

(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify114.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	139	152
1	583	121
2	3820	114
3	5001	112

prune47.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x 2.0 (pow x 2))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma x 2.0 (pow x 2))

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	43
1	67	38
2	263	38
3	1043	38
4	5001	38

prune27.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))
0.0b	(fma x 2.0 (pow x 2))
0.1b	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 71

Calls

3 calls:

0.0ms	(fma x 2.0 (pow x 2))
0.0ms	(fma x 2.0 (pow x 2))
13.0ms	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

series149.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(fma x 2.0 (pow x 2))
48.0ms	(fma x 2.0 (pow x 2))
51.0ms	(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

simplify125.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	107	327
1	427	284
2	2828	270
3	5001	257

prune114.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(+ (* (+ x 1.0) x) (- (* 1.0 (+ x 1.0)) 1.0))
3.6b	(- (* 1.0 (+ x 1.0)) 1.0)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

19.0ms	(* (+ x 1.0) x)
36.0ms	(+ (* (+ x 1.0) x) (- (* 1.0 (+ x 1.0)) 1.0))
13.0ms	(- (* 1.0 (+ x 1.0)) 1.0)

series113.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (+ x 1.0) x)
48.0ms	(+ (* (+ x 1.0) x) (- (* 1.0 (+ x 1.0)) 1.0))
24.0ms	(- (* 1.0 (+ x 1.0)) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	392	496
1	1936	431
2	5001	430

prune121.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2

end0.0ms

sample521.0ms

Algorithm

intervals

Results

141.0ms	2258×	body	1280	valid
86.0ms	1681×	body	640	valid
86.0ms	5659×	body	80	valid
32.0ms	809×	body	320	valid
13.0ms	413×	body	160	valid