Details

sample29.0ms

Algorithm

intervals

Results

20.0ms

335×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (46.0ms)

Iter	Nodes	Cost
0	27	6
1	63	6
2	154	5
3	323	5
4	426	5
5	528	5
6	604	5
7	832	5
8	1464	4
9	2035	4
10	2064	4
11	2064	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

7.0ms	(- (* (* x 3.0) x) (* x 4.0))
96.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series148.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (* (* x 3.0) x) (* x 4.0))
40.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
25.0ms	(* (* x 3.0) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	306	404
1	1349	358
2	5001	342

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.1b	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

3.0ms	(- 3.0 (* 12.0 x))
0.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- 3.0 (* 12.0 x))
26.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	120	170
1	350	149
2	1768	148
3	5001	131

prune100.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma x (- (* 9.0 x) 12.0) 3.0)

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 (- (* 9.0 x) 12.0) 3.0)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma x (- (* 9.0 x) 12.0) 3.0)

simplify82.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	42	66
1	95	53
2	390	53
3	2029	53
4	5002	53

prune35.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.1b	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))
0.1b	(pow (fma (pow x 2) 9.0 (- 3.0 (* 12.0 x))) 3)
12.0b	(cbrt (pow (fma (pow x 2) 9.0 (- 3.0 (* 12.0 x))) 3))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-neg` `prod-diff`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `pow1/3` `diff-log` `pow-exp` `flip--` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

4 → 78

Calls

4 calls:

2.0ms	(- 3.0 (* 12.0 x))
0.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))
1.0ms	(pow (fma (pow x 2) 9.0 (- 3.0 (* 12.0 x))) 3)
2.0ms	(cbrt (pow (fma (pow x 2) 9.0 (- 3.0 (* 12.0 x))) 3))

series156.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 3.0 (* 12.0 x))
25.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))
54.0ms	(pow (fma (pow x 2) 9.0 (- 3.0 (* 12.0 x))) 3)
32.0ms	(cbrt (pow (fma (pow x 2) 9.0 (- 3.0 (* 12.0 x))) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	246	554
1	879	514
2	5001	507

prune203.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes65.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end1.0ms

sample672.0ms

Algorithm

intervals

Results

543.0ms

10724×

body

valid