Details

sample22.0ms

Algorithm

intervals

Results

15.0ms

349×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	17	3
2	21	3
3	23	3
4	24	3
5	24	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 3.0)
0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

3.0ms	(- (* x x) 3.0)
9.0ms	(/ (- (* x x) 3.0) 6.0)

series116.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (* x x) 3.0)
70.0ms	(/ (- (* x x) 3.0) 6.0)

simplify32.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	246	323
1	917	287
2	5001	279

prune108.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (fma x x (- 3.0)) 6.0)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

2.0ms

(/ (fma x x (- 3.0)) 6.0)

series84.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(/ (fma x x (- 3.0)) 6.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	101	190
1	285	176
2	1305	176
3	5001	175

prune63.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.16666666666666666 (pow x 2)) 0.5)
0.2b	(* 0.16666666666666666 (pow x 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-diff` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 47

Calls

2 calls:

4.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
6.0ms	(* 0.16666666666666666 (pow x 2))

series87.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* 0.16666666666666666 (pow x 2)) 0.5)
30.0ms	(* 0.16666666666666666 (pow x 2))

simplify153.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	198	220
1	742	184
2	4216	180
3	5001	180

prune88.0ms

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	(- (* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2))) 0.5)
0.2b	(* (sqrt 0.16666666666666666) (pow x 2))
0.2b	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`add-exp-log`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `sqrt-prod` `add-cbrt-cube`
9×	`associate-r`
8×	`unswap-sqr`
5×	`pow1` `unpow-prod-down` `add-log-exp`
4×	`cbrt-unprod`
3×	`expm1-log1p-u` `prod-diff` `log1p-expm1-u` `unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `flip--`

Counts

3 → 78

Calls

3 calls:

13.0ms	(- (* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2))) 0.5)
8.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
16.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(- (* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2))) 0.5)
46.0ms	(* (sqrt 0.16666666666666666) (pow x 2))
77.0ms	(* (sqrt 0.16666666666666666) (* (sqrt 0.16666666666666666) (pow x 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	264	502
1	1076	398
2	5001	379

prune150.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample600.0ms

Algorithm

intervals

Results

473.0ms

10723×

body

valid