Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

353×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (44.0ms)

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
3.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

series119.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* x 3.0) 4.0)
38.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
41.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify122.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	206	296
1	706	240
2	4518	237
3	5001	237

prune131.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite7.0ms

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:

6.0ms	(- 3.0 (* 12.0 x))
0.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 3.0 (* 12.0 x))
24.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (50.0ms)

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

prune92.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* 9.0 x) 12.0)
31.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

simplify85.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	140	157
1	462	122
2	2558	119
3	5002	115

prune72.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0)
0.1b	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) (* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
8.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0)
11.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) (* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0))

series242.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
31.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
137.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0)
41.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) (* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0))

simplify137.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	265	604
1	970	502
2	4979	497
3	5001	497

prune202.0ms

Filtered

79 candidates to 57 candidates (72.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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

sample382.0ms

Algorithm

intervals

Results

264.0ms

10659×

body

valid