Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

328×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (47.0ms)

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

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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)

rewrite7.0ms

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)

series108.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* x 3.0) 4.0)
30.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
42.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify127.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (31.0ms)

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

prune118.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- 3.0 (* 12.0 x))
24.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (56.0ms)

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

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(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)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

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

prune26.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 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) (sqrt 3.0))
0.8b	(* (* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0)) (sqrt 3.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

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

series207.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* x 3.0) 4.0)
29.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
60.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0))
81.0ms	(* (* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0)) (sqrt 3.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	307	592
1	1312	478
2	5002	453

prune150.0ms

Pruning

4 alts after pruning (1 fresh and 3 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

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample367.0ms

Algorithm

intervals

Results

258.0ms

10675×

body

valid