Details

sample50.0ms

Algorithm

intervals

Results

21.0ms	118×	body	1280	valid
9.0ms	82×	body	640	valid
5.0ms	377×	pre	80	true
3.0ms	132×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize3.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

6.0ms

(- (exp x) 1.0)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune55.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

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 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify34.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
0.7b	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
1.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))) (cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
59.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
63.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))
64.0ms	(cbrt (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))

simplify170.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	1098
1	922	1018
2	4660	940
3	5001	940

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
0.1b	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
41.2b	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
1.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
1.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

series95.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
42.0ms	(pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3)
27.0ms	(cbrt (pow (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)) 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	182	455
1	698	430
2	5001	424

prune129.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes93.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.4s

Algorithm

intervals

Results

610.0ms	3444×	body	1280	valid
289.0ms	2536×	body	640	valid
143.0ms	11900×	pre	80	true
102.0ms	4082×	body	80	valid
93.0ms	1224×	body	320	valid
32.0ms	614×	body	160	valid